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'1引言本设计是按照唐山学院2012年毕业设计要求编写的毕业设计。题目为“唐山市第三轧钢厂办公楼”。内容包括建筑设计、结构设计两部分。办公楼是公共建筑,其规范要求比较严格,能体现外建筑和结构设计的很多重要方面,选择办公建筑和结构设计,从而掌握办公楼设计的基本原理,妥善解决其功能关系,满足使用要求。框架结构的设计始于欧美,二十世纪厚得到了世界各地大范围内的使用,其结构建筑平面布置灵活,使用空间大。延性较好,其具有良好的抗震性能,能满足较大的使用面积。建筑设计部分:确定建筑方案时,综合考虑了几个方案的优缺点,采用了既能满足现代化办公的多方面要求,又比较经济、美观的方案。办公楼符合现代化标准,采用大面积房间作为开放式办公区,使办公更加公开化、透明化。建筑设计依据用地条件和建筑使用功能、周边环境特点,首先设计建筑平面,包括建筑平面选择、平面柱网布置、平面交通组织及平面功能设计;其次进行立面、剖面的设计,立面设计体现了现代化建筑特色,造型简单大方,色彩简洁明快。最后进行楼梯、雨棚等相关构件的设计。建筑设计过程中,既查阅相关规范使建筑物满足规范要求以达到建筑物使用功能上的要求,又考虑到人们对建筑物在美观方面的要求,考虑建筑物所赋予人们精神上的感受。使建筑物既经济实用,又美观大方。结构设计部分:根据设计要求及所在地区的设防烈度,确定出拟建建筑物的抗震等级为二级。查阅有关规范和资料进行结构设计。根据结构设计的一般步骤,考虑抗震设防要求,分别从体型选择、结构布置、结构荷载计算、地震作用分析、风载作用分析、竖向荷载内力分析以及楼板、楼梯、基础方案的选择等多方面进行了论述。结构设计部分大致分为以下几个步骤:1)结构选型与构件布置:按建筑方案设计,确定各构件的截面及布置,绘出结构计算简图。2)荷载统计:在初选截面的基础上进行荷载统计,荷载的取值按各层房间的使用功能及所选材料而定,完成恒载与活载的统计。3)水平地震和风载作用下框架的内力分析及侧移验算。4)横向框架在竖向荷载作用下的内力分析:由于荷载较复杂,运用结构力学求解器求梁的固端弯矩,采用二次分配法求框架的梁端、柱端弯矩。再运用结构力学相关知识求出梁端剪力及柱的轴力,分别绘出恒载、活载及重力荷载代表值作用下的弯矩、剪力及轴力图。5
)内力组合:根据《建筑结构荷载规范》对已计算的荷载进行组合,通过比较选取最不利组合。考虑强柱弱梁的设计原则,调整柱端的弯矩。以此为依据对框架梁、柱进行截面设计。6)梁、柱截面及节点设计。7)板的设计:根据本设计中梁板布置确定单向板和双向板,单向板用调幅法按等跨连续板(梁)进行计算;双向板是按弹性理论进行内力分析的。8)楼梯的设计:本结构设计中采用板式楼梯,平台板和梯段板均按单向板进行设计。9)基础的设计:根据建筑结构的形式采用钢筋混凝土柱下独立基础,根据底层柱底的内力进行标准组合,从而选出内力最不利的组合确定基础底面尺寸;由荷载基本组合的设计值进行验算和配筋的计算。本结构计算选用一榀框架为计算单元,采用手算的简化计算方法,其中计算框架在竖向荷载下的内力时使用的弯距二次分配法,不但使计算结果较为合理,而且计算量较小,是一种不错的手算方法。设计过程中,建筑尺寸、结构及构件尺寸、配筋量等均查阅相关规范进行设计,手算过程较为严谨,并用PKPM设计软件进行计算,对结果进行比较分析。通过工程实例来强化大学期间所学的知识,建立一个完整的设计知识体系,了解设计总过程,通过查阅大量的相关设计资料,提高自己的动手能力。
2工程概况2.1拟建建筑物概况1.工程名称:唐山市第三轧钢厂办公楼2.建设位置:本建筑位于唐山市第三轧钢厂院内,北邻钢厂道,南邻车间,东西邻厂区道路。3.建筑规模:本工程的建筑面积为6102m2。4.建筑层数:6层。5.结构形式:钢筋混凝土框架结构。2.2地质水文资料场地标准冻结深度为-0.8m,场地土类型为中硬场地土,建筑场地类别为Ⅱ类。具体地质情况见表2-1。表2-1建筑地层一览表序号岩土分类土层描述土层深度(m)厚度范围(m)地基土承载力(kPa)桩端阻力(kPa)桩周摩擦力(kPa)1杂填土由碎石、砖块、粘土等组成,松散0.60.62粉质粘土黄褐色,湿,可塑2.21.6170153中、粗砂黄褐色,石英、长石质,稍湿,中密4.82.6190254圆砾黄褐色,石英、长石质,混粒结构,湿,中密13480390060注:1、地下稳定水位距地坪-10m;2、表中给定的土层深度从自然地坪算起。2.3气象资料1.雪载:基本雪压=0.35kPa2.风载:基本风压=0.40kPa其余详见《建筑设计资料集》相关内容。2.4抗震设防烈度抗震设防烈度为8度,设计基本地震加速度为0.20g,场地特征周期为0.35s,设计地震分组为第一组,框架抗震等级为二级。
3设计依据1.毕业设计设计任务书2.建筑设计资料集(1-3册)3.《办公建筑设计规范》JGJ67-20064.《民用建筑设计通则》GB50352-20055.《建筑设计防火规范》GB50016—20066.《混凝土结构设计规范》GB50010—20107.《建筑抗震设计规范》GB50011—20108.《建筑结构荷载规范》GB50009—20019.《建筑地基基础设计规范》GB50007—200210.《建筑工程抗震设防分类标准》GB50223-2008
4建筑方案选择本设计建筑方案最初选用一字型建筑形状,其后思路改变选用采用工字型,如图4-1,该方案优点在于外形美观、功能分区比较明确、易满足大跨度空间要求但是建筑设计过程发现标准层办公室面积大小不一,按经济适用原则供使用人数不等,不太符合任务书中规定普通办公室供3-4人使用的功能要求,最终舍弃了该方案。图4-1原方案首层平面图
舍弃工字型方案之后考虑采用L型的建筑方案最初方案定采用拟选择单一体型,将复杂的内部空间组合到完整的体型中去。外观各面基本等高,平面多呈正方形、矩形、圆形、Y形等。本建筑设计采用一字型平面布置,虽然本类型的方案体型简单但是这类建筑的特点是没有明显的主从关系和组合关系,造型统一、简洁、轮廓分明,给人以鲜明而强烈印象,通过外装修也可满足符合办公楼建筑肃穆特点。图4-2最终方案首层平面图
图4-3最终方案正立面图图4-4最终方案背立面图
5结构设计5.1结构选型和布置5.1.1结构选型根据办公建筑功能的要求,为使平面布置灵活,获得较大的使用空间,本结构设计采用钢筋混凝土框架结构体系。5.1.2结构布置本工程的结构布置图如图5-1所示。楼盖方案采用整体式肋形梁板结构。楼梯采用整体现浇式板式楼梯。基础方案采用柱下独立基础。5.1.3截面尺寸初估根据本工程房屋的高度、结构类型、抗震设防烈度可知该建筑的抗震等级为二级,各层梁、柱、板的混凝土强度等级均采用C35,纵向受力钢筋采用HRB400级钢筋,板受力钢筋采用HRB400级钢筋,箍筋采用HRB400级钢筋。1.框架梁截面尺寸初估主梁::(=7200mm)=(1/12~1/8)=900mm~600mm,取=600mm,=(1/3~1/2)=200mm~300mm,取=300mm,故取×=300mm×600mm。:(=8400mm)=(1/12~1/8)=700mm~1050mm,取=700mm,=(1/2~1/3)=233mm~350mm,取=300mm,故取b×=300mm×700mm。:(=6600mm)=(1/12~1/8)=550mm~825mm,取=600mm,=(1/3~1/2)=200mm~300mm,取=300mm,故取b×=300mm×600mm。:(=3300mm):(=3600mm)取b×=300mm×500mm。次梁:=7200mm=(1/15~1/10)=480mm~720mm,取=500mm,
图5-1结构平面布置图
=(1/3~1/2)h=167mm~250mm,取=250mm,故取b×=250mm×500mm。2.框架柱截面尺寸初估由《建筑抗震设计规范》知,柱的轴压比应小于轴压比限制的要求:(5.1)得:(5.2)式中:A——柱横截面面积,m2,取方形时边长为a;——验算截面以上楼层层数;F——验算柱的负荷面积,可根据柱网尺寸确定,m2;——混凝土轴心抗压强度设计值;——框架柱最大轴压比限值,一级框架取0.65,二级框架取0.75,三级框架取0.85,四级框架取0.90;抗震设防烈度为8度,建筑高度小于24m的框架结构,抗震等级为二级,故取=0.75。φ——地震及中、边柱的相关调整系数,7度中间柱取1,边柱取1.1,8度中间柱取1.1、边柱取1.2;G——结构单位面积的重量(竖向荷载),根据经验估算钢筋混凝土多层建筑约为12~14kN/m2,取G=14kN/m2。A、D柱:混凝土强度等级选用C35,=16.7N/mm2;最大处受力面积为=(7.2/2+7.2/2)8.4/2=30.24m2=(1.2×14×30.24×6)/(16.7×0.75×1000)=0.278135m2取柱的尺寸×=700mm×700mm。C柱:混凝土强度等级选用C35,=16.7N/mm2;最大处受力面积为=(8.4/2+6.6/2)×7.2=54m2=(1.1×14×54×6)/(16.7×0.75×1000)=0.455281m2取柱的尺寸×=700mm×700mm。3.板的截面尺寸初估板的长边与短边之比小于2时按双向板计算,大于2时按单向板计算,由结构布置图可知,该建筑有双向板和单向板两种。考虑到保证结构的整体性,楼板和屋面板的厚度均取120mm。5.2框架计算简图
5.2.1计算简图说明本设计基础选用柱下独立基础,基础顶面标高为-0.95m(室外地坪以下0.5m)。取⑧轴上的一榀框架计算,假定框架柱嵌固于基础顶面,框架梁与柱刚接。由于各层柱截面尺寸不变,故梁的跨度等于柱截面形心轴线之间的距离。一层柱高从基础顶面算起,第一层层高为3.9m,故第一层柱计算高度为4.85m,其它各层柱计算高度为层高,均为3.9m。如图5-2所示。5.2.2框架梁柱截面特性由于楼面板与框架梁的混凝土一起浇筑,对于中框架梁取,边框架梁取,框架柱取计算过程如表5-1、表5-2所示。5.2.3框架梁柱的线刚度计算1.梁计算8轴梁为中框架梁,各层梁截面均相同。BC跨CD跨2.柱子计算1层2~5层柱子电梯机房
图5-2横向框架计算简图(mm)表5-1中框架梁截面特性计算表种类(N/mm2)(mm×mm)(mm)线刚度(N·mm)3.15×104300×70084007.146×10103.15×104300×60066005.727×1010
表5-2边框架梁截面特性计算表种类(N/mm2)(mm×mm)(mm)线刚度(N·mm)3.15×104300×70084005.36×10103.15×104300×60066004.3×10103.相对线刚度计算令2~5层柱子得线刚度为1.0,则其它各杆件的相对线刚度为:一层柱子电梯机房柱子中跨AC跨梁CD跨梁边跨AC跨梁CD跨梁表5-3柱截面特性计算表层数(N/mm2)(mm×mm)(mm)线刚度(N·mm)根数电梯机房3.15×104700×700250028.01×101042~53.15×104700×700360017.956×10103613.15×104700×700455014.439×101036
根据以上计算结果,框架梁柱的相对线刚度如图5-3所示,是计算各节点杆端的弯矩分配系数的依据。图5-3横向框架相对线刚度(括号内为边框架的相对线刚度)5.3荷载统计5.3.1恒载标准值计算1.屋面均布恒荷载保护层:20mm水泥小豆石240.02=0.48防水层:SBS防水卷材0.1找平层:20mm厚水泥砂浆0.02020=0.3找坡层:膨胀珍珠岩找坡2%,最薄处30mm(0.03+0.165)/27=0.683保温层:70mm厚挤塑聚苯乙烯泡沫塑料板0.060.5=0.0结构层:120mm厚钢筋混凝土现浇板250.12=3顶棚:顶30.24
---------------------------------------------------------------------------------------------------------总计:4.9482.楼面均布恒荷载陶瓷地砖地面(楼10)0.7结构层:120mm厚钢筋混凝土现浇板250.12=3顶棚:顶30.24---------------------------------------------------------------------------------------------------------总计:3.943.梁、柱自重(1)梁截面=300mm×600mm自重0.6×0.325=3.75kN/m梁侧、梁底抹灰总计4.884kN/m(2)梁截面=300mm×700mm自重0.70×0.3025=5.25kN/m梁侧、梁底抹灰总计5.714kN/m(3)梁截面=300mm×500mm自重0.30×0.525=3.75kN/m梁侧、梁底抹灰总计4.054kN/m(4)梁截面=250mm×500mm自重0.25×0.525=3.125kN/m梁侧、梁底抹灰总计3.429kN/m(5)柱截面=700mm×700mm自重0.70×0.7025=12.25kN/m柱侧抹灰200.0240.7=1.12kN/m总计13.37kN/m3.墙自重外墙做法:50厚挤塑聚苯板0.5×0.05=0.02520厚水泥砂浆0.02×20=0.4250厚加气混凝土砌块7×0.25=1.75
---------------------------------------------------------------------------------------------------------共计:2.175kN/m2内墙做法:200厚加气混凝土砌块7×0.2=1.4两内面抹灰20厚20×0.02×2=0.8---------------------------------------------------------------------------------------------------------共计:2.2轻质隔墙做法:100厚加气混凝土砌块7×0.1=0.7两内面抹灰20厚20×0.02×2=0.8--------------------------------------------------------------------------------------------------------共计:1.5门窗:塑钢门窗0.45木门0.25.3.2活荷载标准值计算1.屋面和楼面活荷载标准值根据《建筑结构荷载规范》(GB50009—2001)查得:不上人屋面:0.5kN/m2,楼面办公室,会议室,卫生间均为2.0kN/m2,走廊为2.5kN/m2。2.雪荷载标准值基本雪压:S=0.35kN/m2,雪荷载标准值=1.0×0.35=0.35kN/m25.4地震作用计算及内力、位移分析本例只计算横向水平地震作用,对于高度不超过40m,以剪切变形为主,且质量和刚度沿高度分布比较均匀的结构,可采用底部剪力法的简化方法计算水平地震作用。结构底部总剪力与地震影响系数及各质点的重力荷载代表值有关。为计算各质点的重力荷载代表值,本例先分别计算各楼面层梁、板、柱的重量,然后按以楼层为中心上下各半个楼层的重量集中于该楼层的原则计算各质点的重力荷载代表值。结构的自振周期采用顶点位移法计算。水平地震作用下内力及位移分析均采用值法进行。5.4.1重力荷载代表值的计算
屋面处重力荷载代表值=屋面重力荷载标准值+0.5雪荷载标准值楼面处重力荷载代表值=楼面重力荷载标准值+0.5楼面活荷载标准值1.屋面处重力荷载代表值的计算(1)屋面恒载标准值的计算女儿墙=0.60.2419(15.0+67.8)=453.08kN屋面板=15.067.84.948=5032.116kN梁=7.2164.884+8.4125.714+6.6124.884+(3.32+3.6)24.054+(6.6+5.7)83.429=1945.536kN柱=13.373.936=1877.148kN外墙=((5.7+6.6)2.172+1/234.23.9+1.067.8+1.8+)22.17)1/2=607.598kN内墙==(+1.53.92.42)1/2=1035.714kN墙=外墙+内墙=607.598+1035.714=1643.312kN屋面恒载标准值:453.08+5032.116+1945.536+1877.148/2+1643.312=10951.092kN(2)屋面活荷载标准值的计算雪荷载标准值:0.3515.067.8=355.95kN(3)屋面重力荷载代表值为:6=10951.092+0.5×355.95=11129.167kN2.标准层重力荷载代表值的计算(1)楼面恒载标准值的计算楼面板=15.067.83.94)=4006.98kN梁=1945.536kN柱=1877.148kN墙=1643.312kN标准层恒载标准值:4006.98+1945.536+1877.148+1643.312=9472.976kN(2)标准层楼面活荷载标准值的计算=2(1567.8-2.767.8)+2.52.767.8=2125.53kN(3)标准层楼面重力荷载代表值为:5=4=3=2=9472.976+2125.530.5=11598.506kN3.首层楼面重力荷载代表值的计算
(1)底层楼面处恒载标准值:板=4006.98kN梁=1945.536kN柱=1877.148kN=607+(2.235.63.92+0.232.22.12+2.2(6.615+7.29)3.9+1.53.92.42)1/2=1457.984kN底层恒载标准值4006.98+1945.536+1877.148/2+1457.984=9744.908kN(2)底层楼面活荷载标准值的计算=2125.53kN(3)底层重力荷载代表值:=9744.908+2125.530.5=11870.438kN4.机房重力荷载代表值的计算轿厢及设备=200kN板=6.67.24.948=235.129kN梁=4.884(6.62+7.22)+3.4296.6=157.43kN柱=13.372.54=133.7kN机房重力荷载代表值:=(100+235.129+157.43+133.7)+0.56.67.20.35=734.575kN集中于各楼层标高处的重力荷载代表值计算图如图5-4所示。图5-4结构重力荷载代表值
5.4.2等效总重力荷载代表值计算本设计抗震设防烈度为8度,设计地震分组为第一组,场地类别为Ⅱ类场地,依次查得:水平地震影响系数最大值=0.16,特征周期值=0.35,取阻尼比ζ=0.05。结构总的重力荷载代表值=14456.81+14200.60×3+14128.42+875.18=72062.21kN结构等效重力荷载代表值=0.85=0.85×72062.21=61252.88kN5.4.3横向框架侧移刚度计算地震作用是根据各受力构件的抗侧刚度来分配的,同时若用顶点位移法求结构的自振周期也要用到结构的抗侧刚度,为此先计算各楼层的抗侧刚度。计算过程见表5-4。5.4.4横向框架自振周期计算1.把折算到主体结构的顶层=634.575(1+3/22.5/24.35)=736.27KN2.结构顶点的侧移计算由式(5.3)计算楼层剪力,再由式(5.4)计算层间相对位移,最后再由式(5.5)计算结构的顶点位移。(5.3)(5.4)(5.5)计算过程见表5-5。其中第6层的为和的和。=11129.567+736.27=11865.837kN
表5-4柱的侧移刚度计算表层号轴线号柱别柱高柱线刚度kN/m×104柱相对线刚度(kN/m×104)楼层左梁右梁侧移刚度×104上下上下11、12轴A4.8514.4390.8040.2990.0000.0000.0000.37190.36762.707109.37C4.8514.4390.8040.2990.0000.2390.0000.66920.43803.227D4.8514.4390.8040.0000.0000.2390.0000.29730.34702.556其余各轴A4.8514.4390.8040.3980.0000.0000.0000.49500.39882.938C4.8514.4390.8040.3980.0000.3190.0000.89180.48133.545D4.8514.4390.8040.0000.0000.3190.0000.39680.37422.756其余各层1、12轴A3.917.9561.0000.2990.2990.0000.0000.29900.13011.84293.094C3.917.9561.0000.2990.2990.2390.2390.53800.21203.003D3.917.9561.0000.0000.0000.2390.2390.23900.10671.512其余各轴A3.917.9561.0000.3980.3980.0000.0000.39800.16602.351C3.917.9561.0000.3980.3980.3190.3190.71700.26393.738D3.917.9561.0000.0000.0000.3190.3190.31900.13761.949电梯机房7轴C、D2.5028.011.5600.0000.0000.3190.3190.20450.09284.98929.5928轴C、D2.5028.011.5600.0000.0000.3190.3190.20450.09284.989
表5-5结构顶点位移计算表层次/kN/kN/(kN/m)/m/m611865.831711865.839309400.0130.253511598.50623464.3389309400.0250.240411598.50635062.8449309400.0380.215311598.50646661.3509309400.0500.177211598.50658259.8569309400.0630.127111870.43870130.29410937000.0640.064由=1.7计算自振周期式中:—基本周期调整系数。考虑填充墙使框架自振周期减小的影响,取=0.6—框架的顶点位移,由表7-2知=0.253m。所以,=1.7×0.6×=0.513(S)5.4.5水平地震作用及楼层地震剪力计算1.水平地震作用及楼层地震剪力计算由房屋的抗震设防烈度、场地类别及设计地震分组而确定的地震作用计算参数如下:=0.35(S);=0.16;ζ=0.05由此计算相应于结构基本自振周期的水平地震影响系数为:结构等效总重力荷载为:=59524.3134kN又因为:=0.513(S)>1.4=0.49(S),故应该需考虑顶部附加地震作用。顶部附加作用系数为=0.080.513+0.07=0.284
2.各质点水平地震作用的标准值(5.6)计算结果见表5-6以及图5-5。表5-6各质点横向水平地震作用及楼层地震剪力计算表层号层高计算高度/m/kN(kN·m)(kN)(kN)72.526.850634.56717038.1240.01771.722215.1763.9024.35011129.567271004.9560.2651140.7891846.87153.9020.45011598.506237189.4480.232998.4432845.31443.9016.55011598.506191955.2740.188808.0313653.34533.9012.65011598.506146721.1010.143617.6194270.96423.908.75011598.506101486.9280.099427.2074698.17114.854.85011870.43857571.6240.056242.3464940.517注:1.考虑有局部突出屋顶部分的鞭梢效应。2.鞭梢效应增大的部分不往下传,计算时考虑顶部附加作地震用即5.4.6水平地震作用下的位移验算水平地震作用下框架结构的层间位移和顶点位移分布由式(5.7)和式(5.8)计算得出结果。(5.7)(5.8)其详细计算过程见表5-7,表中还计算了各层的层间弹性位移角:由表5-7可知,最大层间弹性位移角发生在第一层,其值为1/1049﹤[]=1/550(满足要求)。其中[]为钢筋混凝土框架弹性层间位移角限值。
(a)水平地震作用分布(b)层间剪力分布图5-5横向水平地震作用及楼层地震剪力表5-7横向水平地震作用下的位移验算层号层高/m/kN/(kN/m)/m/m63.901846.8711093700.0000.0011090.0175571/351853.902845.3141093700.0000.0020220.0164491/192943.903653.3451093700.0000.0027600.0144271/141333.904270.9641093700.0000.0033250.0116671/117323.904698.1711093700.0000.0037160.0083421/105014.854940.517930940.0000.0046260.0046261/10495.4.7剪重比验算为了保证结构的稳定和安全,需进行结构剪重比验算,验算过程见表5-8。
表5-8剪重比的验算:层号(mm)72.50215.17634.5670.33963.901846.87111764.1340.15753.902845.31423362.6400.12243.903653.34534961.1460.10433.904270.96446559.6520.09223.904698.17158158.1580.08114.854940.51770028.5960.071由表可知,各层剪重比均大于0.032,则满足要求。5.4.8水平地震作用下横向框架内力分析对第8轴线框架内力进行计算。框架在水平荷载作用下,采用值法分析内力。1.计算依据由求得框架第层的层间剪力后,层柱分配的剪力及该柱上下端的弯矩和分别按下式计算:柱端剪力(5.9)上端弯矩(5.10)下端弯矩(5.11)式中:y——柱子的反弯点高度比,;——规则框架承受倒三角形分布水平力作时标准反弯点高度比,查表得;——上下层横梁线刚度比对的修正值;、——上下层高度变化对的修正值2.计算结果首先计算反弯点位置,计算过程见表5-9,根据反弯点位置及式(5.9)、(5.10)、(5.11)计算柱端弯矩及剪力,计算结果见表5-10。根据表8-7中的计算结果,利用节点平衡,可求得梁端弯矩。
对于中柱,左、右梁端弯矩可由上、下柱端弯矩之和按左、右梁的线刚度比例分配:(5.12)(5.13)对边柱节点:(5.14)根据框架梁隔离体的平衡条件,梁端弯矩的代数和除以梁的跨度即可得梁端剪力:(5.15)水平地震作用下8轴框架各层梁端弯矩和剪力计算见表5-11。柱的轴力计算:对于中柱,每个节点左、右梁端剪力之差即为柱的该层层间轴向力;对于边柱,节点一侧的梁端剪力即为柱的该层层间轴向力;从上到下逐层累加层间轴向力,即得柱在相应层的轴力计算结果见表5-12。根据表中数据可右地震作用下的、、图如图5-6、5-7、5-8所示。表5-9横向水平地震作用下8轴框架各层柱反弯点位置计算表层号层高(m)柱型(m)72.5C柱0.3190.1990.00000.000-0.0500.1940.4852.5D柱0.3190.1990.00000.000-0.0500.1940.48563.9A柱0.3980.1990.00000.00000.00000.1990.7763.9C柱0.7170.4000.00000.00000.00000.4001.5603.9D柱0.3190..3100.00000.00000.00000..3101.20953.9A柱0.3980.3490.00000.00000.00000.3491.3613.9C柱0.7170.4500.00000.00000.00000.4501.7553.9D柱0.3190.4600.00000.00000.00000.4601.79443.9A柱0.3980.4000.00000.00000.00000.4001.5603.9C柱0.7170.4500.00000.00000.00000.4501.7553.9D柱0.3190.4100.00000.00000.00000.4101.59933.9A柱0.3980.4500.00000.00000.00000.4501.7553.9C柱0.7170.5000.00000.00000.00000.5001.9503.9D柱0.3190.5000.00000.00000.00000.5001.95023.9A柱0.3980.5500.00000.00000.00000.5502.1453.9C柱0.7170.5000.00000.00000.00000.5001.9503.9D柱0.3190.5910.00000.00000.00000.5912.30514.85A柱0.4950.8500.0000-0.10100.00000.7493.6334.85C柱0.8920.7000.0000-0.10100.00000.5992.905
4.85D柱0.3970.8810.0000-0.10200.00000.7793.778表5-10横向水平地震作用下8轴框架各层柱端弯矩及剪力计算层号层高柱别(kN·m)(kN·m)(m)(kN)(kN)72.5C柱215.172959204989017.930.19436.1298.6962.5D柱215.172959204989017.930.19436.1298.69663.9A柱1846.879309402351030.620.19995.65423.7613.9C柱1846.879309403738048.690.400113.93575.9563.9D柱1846.879309401949025.380..31068.29830.68453.9A柱2845.319309402351055.840.349141.77275.9983.9C柱2845.319309403738088.780.450190.433155.8093.9D柱2845.319309401949046.290.46097.48783.04443.9A柱3653.349309402351076.240.400178.402118.9343.9C柱3653.3493094037380121.220.450260.017212.7413.9D柱3653.349309401949063.210.410145.446101.07333.9A柱4270.969309402351091.840.450196.997161.1793.9C柱4270.9693094037380146.020.500284.739284.7393.9D柱4270.969309401949076.140.500148.473148.47323.9A柱4698.1793094023510102.630.550180.116220.1413.9C柱4698.1793094037380163.170.500318.182318.1823.9D柱4698.179309401949085.080.591135.711196.10914.85A柱4940.5110937029380115.680.749140.823420.2654.85C柱4940.5110937035450139.580.599271.462405.5014.85D柱4940.5110937027560108.510.779116.306409.951表5-11横向水平地震作用下8轴各层梁端弯矩和剪力计算表层号柱端待分配弯矩(kN·m)AC跨CD跨(kN·m)(kN·m)(kN)(kN·m)(kN·m)(kN)736.1290.0000.000.000.001.0036.12936.12910.956122.63195.65468.06019.490.5550.44554.57176.99419.935266.389165.533147.84637.310.5550.445118.543128.17137.384415.826254.400230.78357.760.5550.445185.043228.4962.663497.48315.931276.10170.480.5550.445221.379249.54671.352602.921341.295334.62180.470.5550.445268.300284.18483.71
1589.644360.964327.25281.930.5550.445262.392312.41587.09表5-12横向水平地震作用下8轴各层框架柱轴力计算层号AC跨梁端剪力CD跨梁端剪力A柱轴力C柱轴力D柱轴力70.0010.950.0010.9510.95619.4919.9319.4911.3930.88537.3137.3856.811.4668.26457.7662.66114.5616.36130.92370.4871.35185.0417.23202.27280.4783.71265.5120.47285.98181.9387.09347.4425.63373.07图5-6右震作用下弯矩图(kN·m)
图5-7右震作用下剪力图(kN)图5-8右震作用下轴力图(kN)
5.5风荷载作用下横向框架的位移验算及内力计算5.5.1横向框架在风荷载作用下的计算简图该办公楼为六层钢筋混凝土框架结构,室内外高差为0.45m,基本风压=0.4kN/m2,地面粗糙度为B类,结构总高度为23.4m。1.各层楼面处集中风荷载标准值计算为简化计算,将计算单元范围内外墙均布风荷载,化为等量后作用在楼面处集中风荷载。计算公式为:(5.16)式中:——基本风压;——风压高度变化系数,查《建筑结构荷载规范》得;——风荷载体型系数,根据《建筑结构荷载规范》规定,迎风面取0.9,背风面取0.5,因此=1.4;——风振系数,因为=0.513S>0.25S,所以,对于混凝土结构,ξ取1.34;由于H/B=23.4/67.8=0.36<0.5,H<30m,故ν取0.42,;取=1.0——上层层高;——下层层高;——计算单元迎风面宽度,8轴线框架的负荷宽度=(7.2+7.2)/2=7.2m;各层楼面处风荷载标准值计算见表5-13。表5-13各层楼面处风荷载标准值计算表层号(kN/m2)/m/m/m/kN71.3581.01.30.402.57.24.7761.31551.01.40.42.53.97.212.7351.24891.01.40.43.93.97.214.7341.16311.01.40.43.93.97.213.7231.06021.01.40.43.93.97.212.50211.01.40.43.93.97.211.79
111.01.40.43.94.357.212.475.5.2风荷载作用下的位移验算风荷载作用下的层间剪力及侧移计算结果见表5-14,由表5-14可知,层间侧移最大值1/4463﹤[]=1/550(满足要求)表5-14风载作用下框架层间剪力及侧移计算层号/kN/kN(A)(C)(D)74.774.77073980739801479600.033.722.51/77547612.7317.5235103738019490803800.223.693.91/17913514.7332.23235103738019490803800.403.473.91/9726413.7245.95235103738019490803800.573.073.91/6822312.558.45235103738019490803800.732.503.91/5363211.7970.24235103738019490803800.871.773.91/4463112.4782.71293803545027560923900.900.904.851/54185.5.3风荷载作用下的内力计算根据各楼层剪力及柱的抗侧刚度求得分配至各框架柱的剪力,按地震作用下内力分析的方法,求柱的反弯点高度,计算过程见表5-15;并由此求得框架柱的柱端弯矩及剪力,计算结果见表5-16
;由柱端剪力根据节点的弯矩平衡条件求得各梁端弯矩及梁端剪力,其结果见表5-17;再由节点力的平衡求得柱的轴力,其结果见表5-18。由此作风荷载作用下的、、图如图5-9、5-10、5-11所示。表5-15风荷载作用下8轴框架各柱的反弯点位置计算表层号层高柱型(m)72.5C柱0.3190.1190.00000.0000-0.050.0690.1732.5D柱0.3190.1190.00000.0000-0.050.0690.17363.9A柱0.3980.1980.00000.00000.00000.1980.7723.9C柱0.7170.30.00000.00000.00000.31.1703.9D柱0.3190.1190.00000.00000.00000.1190.46453.9A柱0.3980.2990.00000.00000.00000.2991.1663.9C柱0.7170.40.00000.00000.00000.41.5603.9D柱0.3190.260.00000.00000.00000.261.01443.9A柱0.3980.350.00000.00000.00000.351.3653.9C柱0.7170.4090.00000.00000.00000.4091.5953.9D柱0.3190.350.00000.00000.00000.351.36533.9A柱0.3980.4490.00000.00000.00000.4491.7513.9C柱0.7170.450.00000.00000.00000.451.7553.9D柱0.3190.410.00000.00000.00000.411.59923.9A柱0.3980.5010.00000.00000.00000.5011.9543.9C柱0.7170.50.00000.00000.00000.51.9503.9D柱0.3190.5410.00000.00000.00000.5412.11014.85A柱0.4950.8010.0000-0.1010.00000.73.3954.85C柱0.8920.6920.0000-0.1010.00000.5912.866
4.85D柱0.3970.8410.0000-0.1020.00000.7393.584表5-16风荷载作用下8轴框架各层柱端弯矩及剪力计算表层号层高柱别(kN·m)(kN·m)(kN)(kN)72.5C柱4.77147960739800.502.390.0695.550.412.5D柱4.77147960739800.502.390.0695.550.4163.9A柱17.580380235100.295.120.19816.013.953.9C柱17.580380373800.478.140.322.229.523.9D柱17.580380194900.244.240.11914.581.9753.9A柱32.2380380235100.299.430.29925.7710.993.9C柱32.2380380373800.4714.990.435.0723.383.9D柱32.2380380194900.247.810.2622.557.9243.9A柱45.9580380235100.2913.440.3534.0718.353.9C柱45.9580380373800.4721.370.40949.2534.093.9D柱45.9580380194900.2411.140.3528.2415.2133.9A柱58.4580380235100.2917.100.44936.7429.943.9C柱58.4580380373800.4727.180.4558.3047.703.9D柱58.4580380194900.2414.170.4132.6122.6623.9A柱70.2480380235100.2920.540.50139.9840.143.9C柱70.2480380373800.4732.660.563.7063.703.9D柱70.2480380194900.2417.030.54130.4935.9314.85A柱82.7192390293800.3226.300.738.2789.29
4.85C柱82.7192390354500.3831.740.59162.9590.974.85D柱82.7192390275600.3024.670.73931.2388.43表5-17风荷载作用下8轴框架各层梁端弯矩及剪力计算表层号柱端待分配弯矩kN·mAC跨CD跨kN·mkN·mkNkN·mkN·mkN75.550.000.000.000.001.0005.555.551.68622.6316.0112.563.400.5550.44510.0714.993.80544.5929.7224.756.490.5550.44519.8424.526.72472.6345.0640.3110.160.5550.44532.3236.1710.38392.3955.0851.2812.660.5550.44541.1147.8213.472111.4069.9261.8315.680.5550.44549.5753.1515.561126.6578.4170.2917.700.5550.44556.3667.1718.72表5-18风荷载作用下8轴框架各层柱轴力计算表层号AC跨梁端剪力CD跨梁端剪力A柱轴力C柱轴力D柱轴力701.6801.681.6863.43.83.43.765.4856.496.729.896.0712.2410.1610.3820.058.622.58312.6613.4732.7111.9436.05
215.6815.5648.3915.1651.61117.718.7266.0919.470.33图5-9风荷载作用下弯矩图(kN·m)
图5-10风荷载作用下剪力图(kN)图5-11风荷载作用下轴力图(kN)5.6横向框架在竖向荷载作用下的内力分析
5.6.1楼面板布置图取中框架8轴框架计算,办公室为双向板,走廊为单向板。楼面板布置图如图5-12图5-13所示。板的传力路径:(1)双向板:板→次梁(加上自重和墙)→纵向框架梁(加自重、墙和板)→柱板→横向框架梁(加上自重)→柱(2)单向板板→梁(加上自重和墙)→柱图5-121-6层楼面板导荷方式图
图5-13电梯机房屋面板导荷方式图5.6.2横向框架在竖向荷载作用下的计算简图1.横向框架在恒载作用下的计算简图(1)电梯机房框架梁恒荷载标准值:CD跨梁自重均布线荷载:4.884kN/m板传向CD梁的梯形线荷载:4.948×1.8=17.813kN/mCD跨梯形荷载的等效均布荷载:=0.53.6/6.6=0.273=(1-2)4.9481.8=7.788kN/m三角形荷载的等效均布荷载:=5/8=5.567kN/mC节点处的集中荷载:4.884×7.2+(7.788+3.429)6.6/2+5.5673.6=74.638kND节点处的集中荷载:74.638kN(2)六层框架梁恒荷载标准值:AB跨梁自重均布线荷载:5.714kN/m板传向AB梁的梯形线荷载:4.948×1.82=17.813kN/mBC梁自重均布线荷载:5.714kN/m板传向BC梁的梯形线荷载:0kNCD跨梁自重均布线荷载:4.884kN/mCD梁上外墙自重均布线荷载:2.175(2.5-0.6)=4.133kN/m板传向CD梁的梯形线荷载:4.948×1.8+3.94×1.8=15.998kN/mAB跨梯形荷载的等效均布荷载:=0.53.6/5.7=0.316=(1-2)4.9481.8=7.407kN/m=(1-2)3.941.8=5.898N/m
三角形荷载的等效均布荷载:=5/8=40.079kN/m=5/8=31.914kN/mCD跨梯形荷载的等效均布荷载:=0.53.6/6.6=0.273=(1-2)4.9481.8=7.788kN/m=(1-2)3.941.8=6.202kN/m三角形荷载的等效均布荷载:=5/8=5.567kN/m=5/8=4.433kN/mA节点处的集中荷载:4.884×7.2+(7.407+3.429)5.7+40.079=137.071kNB节点处的集中荷载:3.429×7.2+(7.788+3.429)5.7+40.079+(4.9482.77.2/2)/2=150.582kNC节点处的集中荷载:4.884×7.2+(7.788+3.429)6.6/2+(6.202+3.429)6.6/2+5.5673.6+4.4333.6+(4.9482.77.2/2)/2=164.007kND节点处的集中荷载:4.884×7.2+(7.788+3.429)6.6/2+(6.202+3.429)6.6/2+5.5673.6+4.4333.6=139.959kN(3)1~5层框架梁恒荷载标准值:AB跨梁自重均布线荷载:5.714kN/mAB跨梁上内墙自重均布线荷载:2.2(3.9-0.7)=7.04kN/m板传向AB梁的梯形线荷载:3.94×1.82=14.184kN/mBC梁自重均布线荷载:5.714kN/mBC跨梁上内墙自重线荷载:7.04kN/m板传向BC梁的梯形线荷载:0kNCD梁自重均布线荷载:4.884kN/mCD梁上外墙自重均布线荷载:2.2(3.9-0.6)=7.26kN/m板传向CD梁的梯形线荷载:3.94×1.82=14.184kN/mA节点处的集中荷载(4.884+7.18)×7.2+(5.898+3.429)5.7++31.914=171.939kNB节点处的集中荷载:(3.429+7.04)×7.2+(5.898+3.429)5.7+31.914+(3.942.77.2/2)/2=198.752kNC节点处的集中荷载:(4.884+7.04)×7.2+(6.202+3.429)6.6+4.4337.2+(3.942.77.2/2)/2=200.48kND节点处的集中荷载:(4.884+7.18)×7.2+(6.202+3.429)6.6+4.4337.2=182.343kN
则可得恒荷载作用下的结构计算简图如图5-14所示。图5-14恒载作用下结构计算简图2.横向框架在活载作用下的计算简图(1)电梯机房框架梁活荷载标准值:板传向CD梁的线荷载:0.51.8=0.9kN/mCD跨梯形荷载的等效均布荷载:=0.53.6/6.6=0.273=(1-2)0.51.8=0.787kN/m三角形荷载的等效均布荷载:=5/8=0.563kN/mC节点处的集中荷载:0.7876.6/2+0.5633.6=4.624kND节点处的集中荷载:4.624kN(2)六层框架梁活荷载标准值:板传向AB梁的梯形线荷载:0.5×1.82=1.8kN/m板传向BC梁的梯形线荷载:0kN板传向CD梁的梯形线荷载:0.5×1.8+2.0×1.8=4.5kN/mAB跨梯形荷载的等效均布荷载:
=0.53.6/5.7=0.316=(1-2)0.51.8=0.749kN/m=(1-2)2.01.8=2.994N/m三角形荷载的等效均布荷载:=5/8=0.563kN/m=5/8=2.25kN/mCD跨梯形荷载的等效均布荷载:=0.53.6/6.6=0.273=(1-2)0.51.8=0.787kN/m=(1-2)2.01.8=3.148kN/m三角形荷载的等效均布荷载:=5/8=0.563kN/m=5/8=2.5kN/mA节点处的集中荷载:0.7495.7+0.5637.2=8.323kNB节点处的集中荷载:0.7495.7+0.5637.2+(0.52.77.2/2)/2=10.753kNC节点处的集中荷载:0.7876.6/2+3.1486.6/2+0.5637.2+(0.52.77.2/2)/2=19.470kND节点处的集中荷载:0.7876.6/2+3.1486.6/2+2.57.2=30.986kN(3)1~5层框架梁活荷载标准值:板传向AB梁的梯形线荷载:2.0×1.82=7.2kN/m板传向BC梁的梯形线荷载:0kN板传向CD梁的梯形线荷载:2.0×1.8×2=7.2kN/mAB跨梯形荷载的等效均布荷载:=0.53.6/5.7=0.316=(1-2)2.01.8=2.994N/m三角形荷载的等效均布荷载:=5/8=2.25kN/mCD跨梯形荷载的等效均布荷载:=0.53.6/6.6=0.273=(1-2)2.01.8=3.148kN/m三角形荷载的等效均布荷载:=5/8=2.5kN/mA节点处的集中荷载
2.9945.7+2.57.2=35.066kNB节点处的集中荷载:2.9945.7+2.57.2+(2.52.77.2/2)/2=47.216kNC节点处的集中荷载:3.1486.6+2.57.2+(2.52.77.2/2)/2=50.927kND节点处的集中荷载:3.1486.6+2.57.2=38.777kN活荷载作用下的结构计算简图如图5-15所示
图5-15活载作用下结构计算简图3.横向框架梁在重力荷载代表值作用下的计算简图屋面处重力荷载代表值=屋面恒荷载标准值+0.5雪荷载标准值楼面处重力荷载代表值=楼面恒荷载标准值+0.5楼面活荷载标准值(1)雪载作用下电梯机房和六层屋面荷载的计算1)电梯机房框架梁雪荷载代表值:板传向CD梁的线荷载:0.351.8=0.63kN/mCD跨梯形荷载的等效均布荷载:=0.53.6/6.6=0.273=(1-2)0.351.8=0.551kN/m三角形荷载的等效均布荷载:=5/8=0.394kN/mC节点处的集中荷载:0.5516.6/2+0.3943.6=3.237kND节点处的集中荷载:3.237kN2)六层框架梁雪荷载标准值:板传向AB梁的屋面梯形雪荷载:0.35×1.8×2=1.26kNBC梁的线荷载:0kN/m板传向CD梁的屋面梯形线荷载:0.35×1.8+2.0×1.8=4.23kN/mAB跨梯形荷载的等效均布荷载:=0.53.6/5.7=0.316=(1-2)0.351.8=0.524kN三角形荷载的等效均布荷载:=5/8=0.394kN/mCD跨梯形荷载的等效均布荷载:=0.53.6/6.6=0.273=(1-2)0.351.8=0.551kN/m三角形荷载的等效均布荷载:=5/8=0.394kN/mA节点处的集中荷载:0.5245.7+0.3947.2=5.824kNB节点处的集中荷载:0.5245.7+0.3947.2+(0.352.77.2/2)/2=7.525kNC节点处的集中荷载:0.5516.6/2+3.1486.6/2+0.3947.2+(0.352.77.2/2)/2=16.745kND节点处的集中荷载:0.5516.6/2+3.1486.6/2+0.3947.2=15.043kN(2)重力荷载代表值的计算:1)电梯机房框架梁重力荷载代表值:CD梁的均布线荷载:4.884kN/m
板传向CD的梯形线荷载:17.813+0.5×0.63=18.128kN/mC节点处的集中荷载:74.638+0.5×3.237=76.257kND节点处的集中荷载:74.638+0.5×3.237=76.257kN2)六层框架梁重力荷载标准值:AB梁的均布线荷载:5.714kN/m板传向AB梁的梯形线荷载:17.813+0.5×1.26=18.443kN/mBC梁的均布线荷载:5.714kN/mCD梁的均布线荷载:4.884+4.133=9.017kN/m板传向CD梁的梯形线荷载:15.998+0.5×4.5=18.248kN/mA节点处的集中荷载:137.071+0.5×5.824=139.983kNB节点处的集中荷载:150.582+0.5×7.525=154.345kNC节点处的集中荷载:164.007+0.5×19.470=173.742kND节点处的集中荷载:139.959+0.5×30.986=155.452kN3)标准层框架梁重力荷载标准值:AB梁的均布线荷载:12.718kN/m板传向AB梁的梯形线荷载:14.184+0.5×7.2=17.784kN/mBC梁的均布线荷载:12.718kN/mCD梁的均布线荷载:4.884+7.26=12.144kN/m板传向CD梁的梯形线荷载:14.184+0.5×7.2=17.784kN/mA节点处的集中荷载:171.939+0.5×35.066=189.472kNB节点处的集中荷载:198.752+0.5×47.216=222.36kNC节点处的集中荷载:200.48+0.5×50.927=225.944kND节点处的集中荷载:182.343+0.5×38.777=201.732kN重力荷载代表值作用下的结构计算简图如图5-16所示。
图5-16重力荷载代表值作用下结构计算简图5.6.3横向框架在竖向荷载作用下的内力计算1.用弯矩二次分配法计算弯矩(1)求固端弯矩由计算简图用力学求解器求出恒载、活载、重力荷载代表值作用下各杆端的固端弯矩,以恒载作用下AC跨为例,如图5-17所示。其余求解结果见表5-19。
(a)恒载作用下AC跨荷载图(b)恒载作用下AC跨弯矩图图5-17求解器求解恒载作用下AC跨弯矩结果表5-19求解器求解固端弯矩结果层次位置恒载作用下弯矩值(kN·m)活载作用下弯矩值(kN·m)重力荷载代表值作用下弯矩值(kN·m)电梯机房MCD-74.07-2.85-75.06MDC-74.07-2.85-75.06六层MAC-195.65-13.77-200.48MCA-264.73-17.81-270.98MCD-83.33-14.23-90.45MDC-83.33-14.23-90.451~5层MAC-249.95-57.52-278.71MCA-356.84-76.46-395.07MCD-88.94-22.77-100.33MDC-88.94-22.77-100.33(2)求弯矩分配系数由图5-3已得到8轴的各梁、柱的相对线刚度,各梁、柱的弯矩分配系数
(3)弯矩二次分配过程用弯矩二次分配法计算8轴线框架在恒载作用下的弯矩,分配过程如表5-20所示;活载作用下的弯矩分配过程如表5-21所示;重力荷载代表值作用下的弯矩分配过程如表5-22所示。表5-20恒荷载作用下弯矩二次分配过程下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱电机房分配系数000000.830.170.1700.83梁端弯矩0.000.00-74.0774.07分配后的弯矩0.000.000.000.000.0061.4812.59-12.590.00-61.48梁弯矩传递0.000.00-6.306.30下柱弯矩0.00-42.36-22.67再次分配0.000.000.000.000.0040.388.272.780.0013.59求和0.000.000.000.000.0059.50-59.5070.560.00-70.56下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱6层分配系数0.71500.2850.1210.4670.3050.0970.1110.5440.348梁端弯矩-195.65264.73-83.3383.33分配后的弯矩139.890.0055.76-21.95-84.71-55.33-17.60-9.25-45.33-29.00梁弯矩传递-10.9727.88-4.62-8.80下柱弯矩52.11-49.29-19.17续上表再次分配-29.420.00-11.723.1512.167.942.533.1015.219.73
求和162.590.00-162.59273.81-72.55-98.29-103.0268.39-30.12-38.27下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱5层分配系数0.4170.4170.1660.1460.3680.3680.1170.1380.4310.431梁端弯矩-249.95356.84-88.9488.94分配后的弯矩104.23104.2341.49-39.11-98.59-98.59-31.34-12.27-38.33-38.33梁弯矩传递-19.5620.75-6.14-15.67上柱弯矩69.94-27.66-14.50下柱弯矩52.11-49.29-19.17再次分配-42.74-42.74-17.028.2120.6920.696.586.8121.2621.26求和113.36131.43-245.03346.68-99.64-127.20-119.8467.80-31.57-36.23下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱4层分配系数0.4170.4170.1660.1460.3680.3680.1170.1380.4310.431梁端弯矩-249.95356.84-88.9488.94分配后的弯矩104.23104.2341.49-39.11-98.59-98.59-31.34-12.27-38.33-38.33梁弯矩传递-19.5620.75-6.14-15.67上柱弯矩52.11-49.29-19.17下柱弯矩52.11-49.29-19.17再次分配-35.31-35.31-14.0611.3628.6528.659.117.4523.2823.28求和121.03121.04-242.07349.84-113.29-119.24-117.3168.45-34.22-34.223续上表下柱上柱右梁左梁上柱下柱右梁下柱
左梁上柱3层分配系数0.4170.4170.1660.1460.3680.3680.1170.1380.4310.431梁端弯矩-249.95356.84-88.9488.94分配后的弯矩104.23104.2341.49-39.11-98.59-98.59-31.34-12.27-38.33-38.33梁弯矩传递-19.5620.75-6.14-15.67上柱弯矩52.11-49.29-19.17下柱弯矩52.11-49.29-19.17再次分配-35.31-35.31-14.0611.3628.6528.659.117.4523.2823.28求和121.03121.04-242.07349.84-113.29-119.24-117.3168.45-34.22-34.23下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱2层分配系数0.4170.4170.1660.1460.3680.3680.1170.1380.4310.431梁端弯矩-249.95356.84-88.9488.94分配后的弯矩104.23104.2341.49-39.11-98.59-98.59-31.34-12.27-38.33-38.33梁弯矩传递-19.5620.75-6.14-15.67上柱弯矩52.11-49.29-19.17再次分配-13.58-13.58-5.405.0612.7612.764.064.8115.0215.02求和90.65142.77-233.42343.54-135.36-85.82-122.3665.80-42.48-23.32下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱1层分配系数0.3650.4540.1810.1580.3970.3190.1270.150.4710.379梁端弯矩-249.95356.84-88.9488.94续上表
分配后的弯矩91.23113.4845.24-42.33-106.36-85.46-34.02-13.34-41.89-33.71梁弯矩传递-21.1622.62-6.67-17.01上柱弯矩0.000.000.00再次分配7.729.613.83-2.52-6.33-5.09-2.032.558.016.45求和98.965123.09-222.04334.61-112.4-90.55-131.6661.14-33.88-27.2649.47545.27513.63图5-21活荷载作用下弯矩二次分配过程下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱电机房分配系数000000.830.170.1700.83梁端弯矩0.000.00-2.852.85分配后的弯矩0.000.000.000.000.002.370.48-0.480.00-2.37梁弯矩传递0.000.00-0.240.24下柱弯矩0.00-0.84-3.87再次分配0.000.000.000.000.000.890.180.620.003.01求和0.000.000.000.000.002.42-2.423.220.00-3.22下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱6层分配系数0.71500.2850.1210.4670.3050.0970.1110.5440.348梁端弯矩-13.7717.81-14.2314.23分配后的弯矩9.850.003.92-0.43-1.67-1.09-0.35-1.58-7.74-4.95梁弯矩传递-0.221.96-0.79-0.17下柱弯矩11.99-9.88-4.91再次分配-8.420.00-3.361.054.072.660.840.562.761.77续上表
求和13.420.00-13.4220.392.39-8.26-14.5213.04-4.98-8.06下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱5层分配系数0.4170.4170.1660.1460.3680.3680.1170.1380.4310.431梁端弯矩-57.5276.46-22.7722.77分配后的弯矩23.9923.999.55-7.84-19.76-19.76-6.28-3.14-9.81-9.81梁弯矩传递-3.924.77-1.57-3.14上柱弯矩4.92-0.55-2.48下柱弯矩11.99-9.88-4.91再次分配-5.42-5.42-2.160.832.082.080.661.454.544.54求和30.5623.49-54.0574.22-18.22-26.04-29.9617.94-7.75-10.19下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱4层分配系数0.4170.4170.1660.1460.3680.3680.1170.1380.4310.431梁端弯矩-57.5276.46-22.7722.77分配后的弯矩23.9923.999.55-7.84-19.76-19.76-6.28-3.14-9.81-9.81梁弯矩传递-3.924.77-1.57-3.14上柱弯矩11.99-9.88-4.91下柱弯矩11.99-9.88-4.91再次分配-8.37-8.37-3.332.195.515.511.751.795.585.58求和27.6127.61-55.2275.58-24.12-22.59-28.8718.27-9.14-9.13下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱3层分配系数0.4170.4170.1660.1460.3680.3680.1170.1380.4310.431梁端弯矩-57.5276.46-22.7722.77分配后的弯矩23.9923.999.55-7.84-19.76-19.76-6.28-3.14-9.81-9.81续上表
梁弯矩传递-3.924.77-1.57-3.14上柱弯矩11.99-9.88-4.91下柱弯矩11.99-9.88-4.91再次分配-8.37-8.37-3.332.195.515.511.751.795.585.58求和27.6127.61-55.2275.58-24.12-22.59-28.8718.27-9.14-9.13下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱2层分配系数0.4170.4170.1660.1460.3680.3680.1170.1380.4310.431梁端弯矩-57.5276.46-22.7722.77分配后的弯矩23.9923.999.55-7.84-19.76-19.76-6.28-3.14-9.81-9.81梁弯矩传递-3.924.77-1.57-3.14上柱弯矩11.99-9.88-4.91再次分配-3.37-3.37-1.340.972.462.460.781.113.473.47求和20.6232.61-53.2374.37-27.18-17.35-29.8417.60-11.25-6.35下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱1层分配系数0.3650.4540.1810.1580.3970.3190.1270.150.4710.379梁端弯矩-57.5276.46-22.7722.77分配后的弯矩20.9926.1110.41-8.48-21.31-17.13-6.82-3.42-10.72-8.63梁弯矩传递-4.245.21-1.71-3.41上柱弯矩0.000.000.00再次分配1.551.930.77-0.55-1.39-1.12-0.440.511.611.29求和22.5428.04-50.5872.63-22.70-18.19-31.7416.46-9.12-7.3411.279.13.67表5-22重力荷载代表值作用下弯矩二次分配过程
下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱电机房分配系数000000.830.170.1700.83梁端弯矩0.000.00-75.0675.06分配后的弯矩0.000.000.000.000.0062.3012.76-12.760.00-62.30梁弯矩传递0.000.00-6.386.38下柱弯矩0.00-42.15-24.60再次分配0.000.000.000.000.0040.288.253.100.0015.12求和0.000.000.000.000.0060.43-60.4371.780.00-71.78下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱6层分配系数0.71500.2850.1210.4670.3050.0970.1110.5440.348梁端弯矩-200.48270.98-90.4590.45分配后的弯矩143.340.0057.14-21.84-84.31-55.06-17.51-10.04-49.20-31.48梁弯矩传递-10.9228.57-5.02-8.76下柱弯矩58.11-54.23-21.62再次分配-33.740.00-13.453.7114.339.362.983.3716.5210.57求和167.710.00-167.71281.42-69.98-101.43-110.0175.03-32.68-42.35下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱5层分配系数0.4170.4170.1660.1460.3680.3680.1170.1380.4310.431梁端弯矩-278.71395.07-100.33100.33续上表
分配后的弯矩116.22116.2246.27-43.03-108.46-108.46-34.48-13.85-43.24-43.24梁弯矩传递-21.5223.13-6.92-17.24上柱弯矩71.67-27.53-15.74下柱弯矩58.11-54.23-21.62再次分配-45.15-45.15-17.978.5621.5821.586.867.5423.5323.53求和129.18142.75-271.93383.73-114.42-134.43-134.8876.78-35.45-41.33下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱4层分配系数0.4170.4170.1660.1460.3680.3680.1170.1380.4310.431梁端弯矩-278.71395.07-100.33100.33分配后的弯矩116.22116.2246.27-43.03-108.46-108.46-34.48-13.85-43.24-43.24梁弯矩传递-21.5223.13-6.92-17.24上柱弯矩58.11-54.23-21.62下柱弯矩58.11-54.23-21.62再次分配-39.49-39.49-15.7212.4631.4031.409.988.3526.0726.07求和134.84134.84-269.68387.63-131.29-124.59-131.7577.59-38.79-38.8下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱3层分配系数0.4170.4170.1660.1460.3680.3680.1170.1380.4310.431梁端弯矩-278.71395.07-100.33100.33分配后的弯矩116.22116.2246.27-43.03-108.46-108.46-34.48-13.85-43.24-43.24续上表
梁弯矩传递-21.5223.13-6.92-17.24上柱弯矩58.11-54.23-21.62下柱弯矩58.11-54.23-21.62再次分配-39.49-39.49-15.7212.4631.4031.409.988.3526.0726.07求和134.84134.84-269.68387.63-131.29-124.59-131.7577.59-38.79-38.8下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱2层分配系数0.4170.4170.1660.1460.3680.3680.1170.1380.4310.431梁端弯矩-278.71395.07-100.33100.33分配后的弯矩116.22116.2246.27-43.03-108.46-108.46-34.48-13.85-43.24-43.24梁弯矩传递-21.5223.13-6.92-17.24上柱弯矩58.11-54.23-21.62再次分配-15.26-15.26-6.075.5513.9913.994.455.3616.7516.75求和100.96159.07-260.03380.72-148.70-94.73-137.2974.61-48.11-26.50下柱上柱右梁左梁上柱下柱右梁左梁上柱下柱1层分配系数0.3650.4540.1810.1580.3970.3190.1270.150.4710.379梁端弯矩-278.71395.07-100.33100.33分配后的弯矩101.73126.5350.45-46.57-117.01-94.02-37.43-15.05-47.26-38.03梁弯矩传递-23.2825.22-7.52-18.72上柱弯矩0.000.000.00续上表
再次分配8.5010.574.21-2.80-7.03-5.65-2.252.818.827.09求和110.23137.11-247.33370.93-124.04-99.36-147.5369.37-38.44-30.9355.1115.465(4)恒荷载、活荷载、重力荷载代表值作用下的弯矩图二次分配后得杆件杆端弯矩,分别与恒载、活载同时作用得弯矩图,如图5-18、5-19和5-20所示。图5-18恒荷载作用下的弯矩图(kN·m)
图5-19活荷载弯矩图(kN·m)
图5-20重力荷载代表值作用下的弯矩图(kN·m)1.梁端剪力及轴力计算梁端剪力=+——梁上均布荷载、集中力引起的剪力;(横梁计算已求出)——梁端弯矩引起的剪力。;框架柱剪力、——柱上端、下端的弯矩;柱轴力——梁端剪力;——节点集中力及柱自重。=节点集中力(纵梁支点2力)+柱自重根据计算结果绘制剪力图和轴力图,如图5-21、5-22、5-23、5-24、5-25、5-26所示。
图5-21恒载作用下的剪力图(kN)图5-22活载作用下的剪力图(kN)
图5-23重力荷载代表值作用下的剪力图(kN)图5-24恒载作用下的轴力图(kN)
图5-25活载作用下的轴力图(kN)图5-26重力荷载代表值作用下的轴力图(kN)
5.7内力组合5.7.1一般规定1.梁端弯矩调幅考虑到结构的塑性内力重分布,应在内力组合前对竖向荷载作用下得到的内力进行调幅,调幅系数取0.85,水平荷载不用调幅。调幅过程见表5-23、5-24、5-25。表5-23恒载作用下弯矩调幅层号梁端弯矩调幅后弯矩换算到柱边弯矩AC跨第六层162.59273.81138.20232.74104.54172.98第五层245.03346.68208.28294.68164.26214.53第四层242.07349.84205.76297.36161.96216.92第三层242.07349.84205.76297.36161.96216.92第二层233.42343.54198.41292.01154.69211.46第一层222.04334.61188.73284.42145.11203.75CD跨顶层59.5070.5650.5859.9831.2939.51第六层103.0268.3987.5758.1363.4537.69第五层119.8467.80101.8657.6375.2436.53第四层117.3168.4599.7158.1873.2336.88第三层117.3168.4599.7158.1873.2336.88第二层122.3665.80104.0155.9377.1835.10第一层131.6661.14111.9151.9784.4531.99表5-24活载作用下弯矩调幅层号梁端弯矩调幅后弯矩换算到柱边弯矩AC跨第六层13.4220.3911.4117.339.0813.37第五层54.0574.2245.9463.0935.9246.59第四层55.2275.5846.9464.2436.9347.73第三层55.2275.5846.9464.2436.9347.73第二层53.2374.3745.2563.2135.2746.66第一层50.5872.6342.9961.7433.0545.13CD跨顶层2.423.222.062.741.351.95第六层14.5213.0412.3411.088.557.44第五层29.9617.9425.4715.2518.9710.02第四层28.8718.2724.5415.5318.1010.22第三层28.8718.2724.5415.5318.1010.22第二层29.8417.6025.3614.9618.859.75第一层31.7416.4626.9813.9920.338.96
表5-25重力荷载代表值作用下弯矩调幅层号梁端弯矩调幅后弯矩换算到柱边弯矩AC跨第六层167.71281.42142.55239.21109.16176.60第五层271.93383.73231.14326.17183.10236.44第四层269.68387.63229.23329.49181.47239.38第三层269.68387.63229.23329.49181.47239.38第二层260.03380.72221.03323.61173.39233.34第一层247.33370.93210.23315.29162.72224.84CD跨顶层60.4371.7851.3761.0131.8340.27第六层110.0175.0393.5163.7867.5241.50第五层134.8876.78114.6565.2684.7741.55第四层131.7577.59111.9965.9582.2941.99第三层131.7577.59111.9965.9582.2941.99第二层137.2974.61116.7063.4286.6139.98第一层147.5369.37125.4058.9694.6236.472.梁端剪力调整计算梁端负弯矩调幅前,由弯矩产生的剪力;梁端负弯矩调幅后,由弯矩产生的剪力;梁端负弯矩调幅前后,由弯矩产生的剪力变化量。梁端负弯矩调幅后的剪力值为式中:、——调幅前梁端负弯矩、——调幅后梁端负弯矩、——调幅前梁端剪力、——调幅前梁端剪力——梁跨度竖向荷载、风载以及地震作用下内力换算到柱边的值如5-26、5-27表
表5-26竖向荷载作用下剪力在柱边截面的值荷载形式层号BC跨CD跨调幅后梁端柱轴线剪力换算到柱边剪力调幅后两端柱轴线剪力换算到柱边剪力恒载顶层0.000.000.000.0057.43-60.7855.11-58.46第六层98.78-173.3696.17-170.7572.60-62.1168.90-58.41第五层130.68-233.93125.75-228.9980.80-65.0376.07-60.30第四层130.06-234.76125.13-229.8380.39-65.5975.66-60.85第三层130.06-234.76125.13-229.8380.39-65.5975.66-60.85第二层129.83-235.09124.89-230.1581.38-64.2476.65-59.51第一层129.58-235.42124.65-230.4983.18-61.8178.45-57.08活载顶层0.000.000.000.002.06-2.302.03-2.27第六层6.71-11.396.65-11.3210.99-10.5410.84-10.39第五层28.88-47.3728.64-47.1318.82-15.1818.57-14.93第四层28.86-47.4128.61-47.1618.64-15.4218.39-15.18第三层28.86-47.4128.61-47.1618.64-15.4218.39-15.18第二层28.76-47.5428.51-47.3018.85-15.1418.60-14.89第一层28.64-47.7028.39-47.4619.24-14.6118.99-14.36重力荷载代表值顶层0.000.000.000.0058.15-61.5955.82-59.26第六层98.05-181.5095.42-178.8878.04-67.4474.26-63.66第五层142.31-261.42137.26-256.3690.22-72.6285.37-67.76第四层141.52-262.49136.46-257.4489.72-73.3084.86-68.45第三层141.52-262.49136.46-257.4489.72-73.3084.86-68.45第二层141.17-262.97136.11-257.9190.81-71.8285.96-66.96第一层140.79-263.48135.74-258.4292.81-69.1287.95-64.27表5-27风载.地震力作用下内力换算到柱边截面的值楼层跨数风荷载作用地震作用7CD4.964.96-1.6832.3032.30-10.956AC14.8111.37-3.4088.8361.24-19.49CD8.7413.66-3.8047.5970.02-19.935AC27.4521.86-6.49152.48134.79-37.31CD17.4922.17-6.72105.46115.09-37.384AC41.5036.75-10.16234.18210.57-57.76CD28.6932.54-10.38163.11206.56-62.663AC50.6546.85-12.66291.26251.43-70.48CD36.3943.10-13.47196.41224.57-71.352AC64.4356.34-15.68313.13306.46-80.47CD44.1247.70-15.56239.00254.89-83.711AC72.2164.09-17.70332.29298.58-81.93CD49.8160.62-18.72231.91281.93-87.09
3.控制截面的选择框架梁的控制截面在梁端和跨间最大截面处,由于竖向荷载和水平荷载共同作用下,框架梁所受的荷载不对称,跨间最大弯矩截面不易确定,且由于不同组合情况下跨间最大弯矩截面不确定,因此内力组合时先组合梁端内力,截面设计时再根据梁端弯矩和梁间荷载求得跨间最大弯矩。框架柱的控制截面在柱的上、下两端截面。框架梁柱的控制截面如图5-27所示。图5-27框架梁柱的控制截面4.内力换算结构内力分析所得到的内力均为轴线处的内力,应将其换算到梁柱边缘截面,再进行内力组合。对于框架柱,为了简化起见,可采用轴线处内力值,这样算得的配筋偏大。梁端柱边截面的剪力与弯矩求解示意图如图5-28所示。竖向荷载作用下各层框架梁的梁端弯矩换算到柱边截面的计算结果见表5-23、5-24、5-25;竖向荷载作用下各层框架梁的梁端剪力换算到柱边截面的计算结果见表5-26;风载、地震作用下的梁端弯矩、剪力换算到柱边截面的计算结果见表5-27。换算到梁边缘的剪力值:(5.17)换算到梁边缘的剪力值:(5.18)式中:、——梁端柱边截面剪力和弯矩;、——内力计算得到的梁端柱轴线的剪力和弯矩;均用调幅后值;
——柱宽;——作用在柱边的梯形线荷载;——作用在柱边的均布线荷载。图5-28梁端控制截面弯矩及剪力计算示意图4.荷载效应组合的种类(1)非抗震基本组合由永久荷载控制的组合:1.35恒+1.4×0.7活+1.4×0.6风由可变荷载控制的组合:效应对结构不利时①1.2恒+1.4活②1.2恒+1.4×(0.6风+活)③1.2恒+1.4×(风+0.7活)效应对结构有利时①1.0恒+1.4活②1.0恒+1.4×(0.6风+活)③1.0恒+1.4×(风+0.7活)(2)抗震基本组合:①1.2×重力荷载代表值+1.3震②1.0×重力荷载代表值+1.3震(3)荷载效应标准组合:①恒+活+0.6风②恒+风+0.7活
5.7.2框架梁的内力组合取框架梁换算到柱边截面的内力进行组合,非抗震设计时的基本组合考虑恒载、活载和风载,组合过程列于表5-28和表5-29。抗震设计时,由于对于一般结构,风荷载组合系数为0,所以地震作用和其他作用效应组合时只考虑重力荷载代表值和地震效应的组合。组合过程列于表5-30和表5-31。5.7.3框架柱的内力组合对于框架柱,本设计采用轴线处的内力值,不再换算到梁底截面,这样算的的结果偏大,用筋量偏大,偏于安全。非抗震设计时的基本组合考虑恒载、活载和风载,组合过程列于表5-32、5-33和表5-34。抗震设计时,由于对于一般结构,风荷载组合系数为0,所以地震作用和其他作用效应组合时只考虑重力荷载代表值和地震效应的组合。组合过程列于表5-36、5-37、5-38表内力组合时,求出相应的和及,以便在截面设计时查5.8截面设计5.8.1框架梁截面设计1.选取最不利内力组合(1)求跨间最大弯矩用结构力学求解器求解跨间最大弯矩。表5-39跨间最大弯矩(kN·m)层号AC跨CD跨左震右震跨间最大弯矩左震右震跨间最大弯矩775.8974.7857.3375.896254.79283.39229283.3964.29102.0768.77102.071236.71131.19118.36236.71187.9432276.09322
表5-28AC跨梁的内力组合表(一般组合)层次位置内力荷载形式永久荷载效应控制的组合由可变荷载效应控制的组合恒载活载左风右风1.35恒+1.40.7活+1.40.6风1.2恒+1.4(0.6风+活)1.2恒+1.4(风+0.7活)1.0恒+1.4(0.6风+活)1.0恒+1.4(风+0.7活)左风右风左风右风左风右风左风右风左风右风6梁左端M-104.54-9.0814.81-14.81-137.59-162.47-125.72-150.60-113.61-155.08-104.81-129.69-92.70-134.17V96.176.65-3.403.40133.49139.20121.86127.57117.16126.68102.62108.3497.93107.45梁右端M172.9813.3711.37-11.37256.18237.07235.84216.74236.60204.76201.25182.15202.00170.16V-170.75-11.32-3.403.40-244.46-238.75-223.60-217.89-220.75-211.23-189.45-183.74-186.60-177.085梁左端M-164.26-35.9227.45-27.45-233.89-280.01-224.34-270.46-193.88-270.74-191.49-237.61-161.03-237.89V125.7528.64-6.496.49192.38203.28185.54196.45169.88188.05160.39171.30144.73162.90梁右端M214.5346.5921.86-21.86353.64316.91341.02304.30333.70272.49298.12261.39290.79229.58V-228.99-47.13-6.496.49-360.78-349.87-346.22-335.32-330.06-311.89-300.42-289.52-284.26-266.094梁左端M-161.96-36.9341.50-41.50-219.98-289.70-211.19-280.91-172.44-288.64-178.80-248.52-140.05-256.25V125.1328.61-10.1610.16188.43205.50181.68198.74163.97192.42156.65173.72138.94167.39梁右端M216.9247.7336.75-36.75370.49308.75358.00296.26358.53255.63314.61252.87315.15212.25V-229.83-47.16-10.1610.16-365.02-347.95-350.35-333.29-336.24-307.79-304.39-287.32-290.27-261.82
续上表层次位置内力荷载形式永久荷载效应控制的组合由可变荷载效应控制的组合恒载活载左风右风1.35恒+1.40.7活+1.40.6风1.2恒+1.4(0.6风+活)1.2恒+1.4(风+0.7活)1.0恒+1.4(0.6风+活)1.0恒+1.4(风+0.7活)左风右风左风右风左风右风左风右风左风右风3梁左端M-161.96-36.9350.65-50.65-212.29-297.38-203.51-288.60-159.63-301.45-171.12-256.21-127.24-269.06V125.1328.61-12.6612.66186.33207.60179.58200.84160.47195.92154.55175.82135.44170.89梁右端M216.9247.7346.85-46.85378.97300.26366.48287.77372.67241.49323.10244.39329.29198.11V-229.83-47.16-12.6612.66-367.12-345.85-352.45-331.19-339.74-304.29-306.49-285.22-293.77-258.322梁左端M-154.69-35.2764.43-64.43-189.27-297.52-180.88-289.13-129.99-310.39-149.95-258.19-99.05-279.46V124.8928.51-15.6815.68183.37209.71176.61202.95155.86199.76151.63177.98130.88174.78梁右端M211.4646.6656.34-56.34378.52283.87366.40271.75378.35220.60324.11229.46336.06178.31V-230.15-47.3-15.6815.68-370.23-343.89-355.57-329.23-344.49-300.58-309.54-283.20-298.46-254.551梁左端M-145.11-33.0572.21-72.21-167.63-288.94-159.75-281.06-105.43-307.62-130.72-252.04-76.41-278.59V124.6528.39-17.7017.70181.23210.97174.46204.19152.62202.18149.53179.26127.69177.25梁右端M203.7545.1364.09-64.09373.13265.45361.52253.85378.45199.00320.77213.10337.70158.25V-230.49-47.46-17.7017.70-372.54-342.80-357.90-328.16-347.88-298.32-311.80-282.07-301.78-252.22
表5-29CD跨梁的内力组合表(一般组合)层次位置内力荷载形式准永久组合效应控制的组合由可变荷载效应控制的组合恒载活载左风右风1.35恒+1.40.7活+1.40.6风1.2恒+1.4(0.6风+活)1.2恒+1.4(风+0.7活)1.0恒+1.4(0.6风+活)1.0恒+1.4(风+0.7活)左风右风左风右风左风右风左风右风左风右风7梁左端M-31.29-1.354.96-4.96-39.40-47.73-35.27-43.60-31.93-45.82-29.01-37.35-25.67-39.56V55.112.03-1.681.6874.9877.8067.5670.3965.7770.4756.5459.3654.7559.45梁右端M39.511.954.96-4.9659.4251.0854.3145.9856.2742.3846.4138.0748.3734.48V-58.46-2.27-1.681.68-82.56-79.73-74.74-71.92-74.73-70.02-63.05-60.23-63.04-58.336梁左端M-63.45-8.558.74-8.74-86.69-101.38-80.77-95.45-72.28-96.76-68.08-82.76-59.59-84.07V68.910.84-3.803.80100.45106.8394.66101.0587.9898.6280.8887.2774.2084.84梁右端M37.697.4413.66-13.6669.6546.7067.1244.1771.6433.4059.5836.6364.1125.86V-58.41-10.39-3.803.80-92.23-85.84-87.83-81.45-85.59-74.95-76.15-69.76-73.91-63.275梁左端M75.24-18.9717.49-17.4997.6868.2978.4249.0496.1847.2163.3733.9981.1432.16V76.0718.57-6.726.72115.25126.54111.64122.93100.07118.8996.42107.7184.86103.68梁右端M36.5310.0222.17-22.1777.7640.5176.4939.2484.6922.6269.1831.9477.3915.31V-60.3-14.93-6.726.72-101.68-90.39-98.91-87.62-96.40-77.58-86.85-75.56-84.34-65.52
续上表层次位置内力荷载形式永久荷载效应控制的组合由可变荷载效应控制的组合恒载活载左风右风1.35恒+1.40.7活+1.40.6风1.2恒+1.4(0.6风+活)1.2恒+1.4(风+0.7活)1.0恒+1.4(0.6风+活)1.0恒+1.4(风+0.7活)左风右风左风右风左风右风左风右风左风右风4梁左端M-73.23-18.1028.69-28.69-92.50-140.70-89.12-137.32-65.45-145.78-74.47-122.67-50.80-131.13V75.6618.39-10.3810.38111.44128.88107.82125.2694.28123.3592.69110.1379.15108.21梁右端M36.8810.2232.54-32.5487.1432.4785.9031.2399.838.7278.5223.8592.451.34V-60.85-15.18-10.3810.38-105.74-88.30-102.99-85.55-102.43-73.36-90.82-73.38-90.26-61.193梁左端M-73.23-18.1036.39-36.39-86.03-147.17-82.65-143.78-54.67-156.56-68.00-129.14-40.02-141.91V75.6618.39-13.4713.47108.85131.48105.22127.8589.96127.6790.09112.7274.82112.54梁右端M36.8810.2243.10-43.1096.0123.6094.7722.36114.61-6.0787.3914.98107.24-13.44V-60.85-15.18-13.4713.47-108.34-85.71-105.59-82.96-106.75-69.04-93.42-70.79-94.58-56.872梁左端M-77.18-18.8544.12-44.12-85.61-159.73-81.95-156.07-49.32-172.86-66.51-140.63-33.89-157.42V76.6518.6-15.5615.56108.64134.78104.95131.0988.42131.9989.62115.7673.09116.66梁右端M35.19.7547.70-47.7097.0116.8795.8415.70118.46-15.1188.828.68111.44-22.13V-59.51-14.89-15.5615.56-108.00-81.86-105.33-79.19-107.79-64.22-93.43-67.29-95.89-52.321梁左端M-84.45-20.3349.81-49.81-92.09-175.77-87.96-171.64-51.53-191.00-71.07-154.75-34.64-174.11V78.4518.99-18.7218.72108.79140.24105.00136.4586.54138.9689.31120.7670.85123.27梁右端M31.998.9660.62-60.62102.891.05101.850.01132.04-37.7095.45-6.39125.64-44.10V-57.08-14.36-18.7218.72-106.86-75.41-104.32-72.88-108.78-56.36-92.91-61.46-97.36-44.94
表5-30AC跨梁的内力组合表(抗震组合)层次位置内力荷载形式抗震组合重力荷载代表值左震右震1.2重力荷载代表值+1.3震1.0重力荷载代表值+1.3震左震右震左震右震6梁左端M-109.1688.83-88.83-15.51-246.476.32-224.64V95.42-19.4919.4989.17139.8470.08120.76梁右端M176.6061.24-61.24291.53132.31256.2196.99V-178.88-19.4919.49-239.99-189.32-204.22-153.545梁左端M-183.10152.48-152.48-21.50-417.9415.12-381.32V137.26-37.3137.31116.21213.2288.76185.76梁右端M236.44134.79-134.79458.96108.50411.6761.21V-256.36-37.3137.31-356.14-259.13-304.86-207.864梁左端M-181.47234.18-234.1886.67-522.20122.96-485.90V136.46-57.7657.7688.66238.8461.37211.55梁右端M239.38210.57-210.57561.0013.52513.12-34.36V-257.44-57.7657.76-384.02-233.84-332.53-182.353梁左端M-181.47291.26-291.26160.87-596.40197.17-560.11V136.46-70.4870.4872.13255.3844.84228.08梁右端M239.38251.43-251.43614.12-39.60566.24-87.48V-257.44-70.4870.48-400.55-217.30-349.06-165.822梁左端M-173.39313.13-313.13199.00-615.14233.68-580.46V136.11-80.4780.4758.72267.9431.50240.72梁右端M233.34306.46-306.46678.41-118.39631.74-165.06V-257.91-80.4780.47-414.10-204.88-362.52-153.301梁左端M-162.72332.29-332.29236.71-627.24269.26-594.70V135.74-81.9381.9356.38269.4029.23242.25梁右端M224.84298.58-298.58657.96-118.35612.99-163.31V-258.42-81.9381.93-416.61-203.60-364.93-151.91
表5-31CD跨梁的内力组合表(抗震组合)层次位置内力荷载形式抗震组合重力荷载代表值左震右震1.2重力荷载代表值+1.3震1.0重力荷载代表值+1.3震左震右震左震右震7梁左端M-31.8332.30-32.303.79-80.1910.16-73.82V55.82-10.9510.9552.7581.2241.5970.06梁右端M40.2732.30-32.3090.316.3382.26-1.72V-59.26-10.9510.95-85.35-56.88-73.50-45.036梁左端M-67.5247.59-47.59-19.16-142.89-5.65-129.39V74.26-19.9319.9363.20115.0248.35100.17梁右端M41.570.02-70.02140.83-41.23132.53-49.53V-63.66-19.9319.93-102.30-50.48-89.57-37.755梁左端M-84.77105.46-105.4635.37-238.8252.33-221.87V85.37-37.3837.3853.85151.0436.78133.96梁右端M41.55115.09-115.09199.48-99.76191.17-108.07V-67.76-37.3837.38-129.91-32.72-116.35-19.174梁左端M-82.29163.11-163.11113.30-310.79129.75-294.33V84.86-62.6662.6620.37183.293.40166.32梁右端M41.99206.56-206.56318.92-218.14310.52-226.54V-68.45-62.6662.66-163.60-0.68-149.9113.013梁左端M-82.29196.41-196.41156.59-354.08173.04-337.62V84.86-71.3571.359.08194.59-7.90177.62梁右端M41.99224.57-224.57342.33-241.55333.93-249.95V-68.45-71.3571.35-174.9010.62-161.2124.312梁左端M-86.61239.00-239.00206.77-414.63224.09-397.31V85.96-83.7183.71-5.67211.98-22.86194.78梁右端M39.98254.89-254.89379.33-283.38371.34-291.38V-66.96-83.7183.71-189.1828.47-175.7841.861梁左端M-94.62231.91-231.91187.94-415.03206.86-396.10V87.95-87.0987.09-7.68218.76-25.27201.17梁右端M36.47281.93-281.93410.27-322.75402.98-330.04V-64.27-87.0987.09-190.3436.09-177.4948.95
表5-32A柱的内力组合表(一般组合)层次位置内力荷载形式由准永久荷载效应控制的组合 由可变荷载效应控制的组合Mmax及相应的N、VNmin及相应的M、VNmax及相应的M、V恒载活载左风右风1.35恒+1.4(0.7活+0.6风)1.2恒+1.4(0.6风+活)1.2恒+1.4(0.7活+风)1.0恒+1.4(0.6风+活)1.0恒+1.4(0.7活+风)左风右风左风右风左风右风左风右风左风右风6柱顶M162.5913.42-16.0116.01219.20246.10200.45227.34185.85230.67167.93194.83153.33198.16246.10153.33246.10N-233.86-14.873.40-3.40-327.43-333.14-298.60-304.31-290.45-299.97-251.83-257.54-243.68-253.20-333.14-243.68-333.14柱底M131.4323.49-3.953.95197.13203.77187.28193.92175.21186.27161.00167.63148.92159.98203.77148.92203.77N-286.00-67.013.40-3.40-448.91-454.63-434.16-439.87-404.11-413.63-376.96-382.67-346.91-356.43-454.63-346.91-454.63V-75.39-9.465.12-5.12-106.75-115.35-99.41-108.01-92.57-106.91-84.33-92.93-77.49-91.83-115.35-77.49-115.355柱顶M113.3630.56-25.7725.77161.34204.63157.17200.46129.90202.06134.50177.79107.23179.39204.63107.23204.63N-586.81-130.509.89-9.89-911.78-928.39-878.56-895.18-818.22-845.91-761.20-777.82-700.85-728.55-928.39-700.85-928.39柱底M121.0427.61-10.9910.99181.23199.69174.67193.13156.92187.69150.46168.93132.71163.48199.69132.71199.69N-638.95-182.649.89-9.89-1033.26-1049.88-1014.13-1030.74-931.88-959.57-886.34-902.95-804.09-831.78-1049.88-804.09-1049.88V-60.10-14.929.43-9.43-87.84-103.68-85.09-100.93-73.54-99.94-73.07-88.91-61.52-87.92-103.68-61.52-103.684柱顶M121.0327.61-34.0734.07161.83219.07155.27212.51124.60219.99131.07188.30100.39195.79219.99100.39219.07N-939.03-246.1120.05-20.05-1492.04-1525.72-1454.55-1488.23-1339.95-1396.09-1266.74-1300.43-1152.15-1208.29-1525.72-1152.15-1525.72柱底M121.0427.61-18.3518.35175.05205.88168.49199.32146.62198.00144.28175.11122.41173.79205.88122.41205.88N-991.17-298.2520.05-20.05-1613.52-1647.21-1590.11-1623.80-1453.62-1509.76-1391.88-1425.56-1255.39-1311.53-1647.21-1255.39-1647.21V-62.07-14.1613.44-13.44-86.38-108.96-83.02-105.60-69.54-107.18-70.60-93.18-57.13-94.76-108.96-57.13-108.96
续上表层次位置内力荷载形式由准永久荷载效应控制的组合 由可变荷载效应控制的组合∕M∕max及相应的N、VNmin及相应的M、VNmax及相应的M、V恒载活载左风右风1.35恒+1.4(0.7活+0.6风)1.2恒+1.4(0.6风+活)1.2恒+1.4(0.7活+风)1.0恒+1.4(0.6风+活)1.0恒+1.4(0.7活+风)左风右风左风右风左风右风左风右风左风右风3柱顶M121.0327.61-36.7436.74159.59221.31153.03214.75120.86223.73128.82190.5596.65199.52223.7396.65221.31N-1291.25-361.7132.71-32.71-2070.19-2125.14-2028.42-2083.37-1858.18-1949.77-1770.17-1825.12-1599.93-1691.52-1949.77-1599.93-2125.14柱底M142.7730.61-29.9429.94197.59247.89189.03239.33159.41243.24160.47210.77130.85214.68247.89130.85247.89N-1343.39-413.8532.71-32.71-2191.67-2246.63-2163.98-2218.93-1971.85-2063.44-1895.30-1950.26-1703.17-1794.76-2246.63-1703.17-2246.63V-67.64-20.7317.10-17.10-97.27-125.99-95.83-124.55-77.54-125.42-82.30-111.03-64.02-111.90-125.99-64.02-125.992柱顶M90.6520.62-39.9839.98109.00176.17104.06171.2373.02184.9685.93153.1054.89166.83176.1754.89176.17N-1643.19-477.2048.39-48.39-2645.31-2726.61-2599.26-2680.56-2371.74-2507.23-2270.62-2351.92-2043.10-2178.59-2726.61-2043.10-2726.61柱底M123.0928.04-40.1440.14159.93227.37153.25220.68118.99231.38128.63196.0694.37206.77227.3794.37227.37N-1695.33-529.3448.39-48.39-2766.80-2848.10-2734.82-2816.12-2485.40-2620.90-2395.76-2477.05-2146.34-2281.83-2848.10-2146.34-2848.10V-54.81-12.4820.54-20.54-68.97-103.48-65.99-100.50-49.25-106.76-55.03-89.54-38.28-95.80-106.76-38.28-103.481柱顶M98.9522.54-38.2738.27123.52187.82118.15182.4487.25194.4198.36162.6567.46174.62187.8267.46187.82N-1994.84-592.5466.09-66.09-3218.21-3329.24-3167.85-3278.88-2881.97-3067.02-2768.88-2879.91-2483.00-2668.06-3329.24-2483.00-3329.24柱底M49.4811.27-89.2989.292.84152.850.15150.16-54.59195.43-9.75140.26-64.48185.53152.85-64.48152.85N-2059.68-657.3866.09-66.09-3369.28-3480.32-3336.43-3447.46-3023.32-3208.37-2924.50-3035.53-2611.39-2796.44-3480.32-2611.39-3480.32V-30.61-6.9726.30-26.30-26.06-70.25-24.40-68.58-6.74-80.38-18.28-62.46-0.62-74.26-70.25-0.62-70.25
表5-33C柱的内力组合表(一般组合)层次位置内力荷载形式由准永久荷载效应控制的组合 由可变荷载效应控制的组合Mmax及相应的N、VNmin及相应的M、VNmax及相应的M、V恒载活载左风右风1.35恒+1.4(0.7活+0.6风)1.2恒+1.4(0.6风+活)1.2恒+1.4(0.7活+风)1.0恒+1.4(0.6风+活)1.0恒+1.4(0.7活+风)左风右风左风右风左风右风左风右风左风右风7柱顶M59.502.42-5.555.5578.0387.3670.1379.4566.0081.5458.2367.5554.1069.6487.3654.1087.36N-131.81-6.691.68-1.68-183.09-185.91-166.13-168.95-162.38-167.08-139.76-142.59-136.01-140.72-185.91-136.01-185.91柱底M75.502.39-0.410.41103.92104.6193.6094.2992.3793.5278.5079.1977.2778.42104.6177.27104.61N-165.24-40.121.68-1.68-260.98-263.80-253.04-255.87-235.25-239.96-220.00-222.82-202.21-206.91-263.80-202.21-263.80V5.20-1.922.39-2.397.153.135.561.547.701.014.520.506.66-0.033.136.663.136柱顶M-98.29-8.26-22.2222.22-159.45-122.12-148.18-110.85-157.15-94.93-128.52-91.19-137.49-75.28-159.45-137.49-122.12N-574.01-81.843.76-3.76-851.96-858.28-800.23-806.55-763.75-774.28-685.43-691.74-648.95-659.48-851.96-648.95-858.28柱底M-99.64-18.22-9.529.52-160.37-144.37-153.07-137.08-150.75-124.10-133.14-117.15-130.82-104.17-160.37-130.82-144.37N-626.15-133.983.76-3.76-973.44-979.76-935.79-942.11-877.42-887.94-810.56-816.88-752.19-762.71-973.44-752.19-979.76V50.746.798.14-8.1481.9968.3277.2363.5678.9456.1567.0853.4168.7946.0081.9968.7968.325柱顶M-127.20-26.04-35.0735.07-226.70-167.78-218.55-159.64-227.26-129.06-193.11-134.20-201.82-103.62-227.26-201.82-167.78N-1140.72-250.916.07-6.07-1780.77-1790.96-1715.04-1725.24-1606.26-1623.25-1486.90-1497.09-1378.11-1395.11-1606.26-1378.11-1790.96柱底M-113.29-24.12-23.3823.38-196.22-156.94-189.36-150.08-192.32-126.85-166.70-127.42-169.66-104.20-196.22-169.66-156.94N-1192.86-303.056.07-6.07-1902.25-1912.45-1850.60-1860.80-1719.92-1736.92-1612.03-1622.23-1481.35-1498.35-1902.25-1481.35-1912.45V61.6612.8614.99-14.99108.4483.25104.5979.40107.5865.6192.2667.0795.2553.28108.4495.2583.254柱顶M-119.24-22.59-49.2549.25-224.48-141.74-216.08-133.34-234.18-96.28-192.24-109.50-210.33-72.43-234.18-210.33-141.74N-1707.68-419.808.60-8.60-2709.55-2724.00-2629.71-2644.16-2448.58-2472.66-2288.18-2302.62-2107.04-2131.12-2448.58-2107.04-2724.00柱底M-113.29-24.12-34.0934.09-205.21-147.94-198.35-141.08-207.31-111.86-175.69-118.42-184.65-89.20-207.31-184.65-147.94N-1759.82-471.948.60-8.60-2831.03-2845.48-2765.28-2779.72-2562.25-2586.33-2413.31-2427.76-2210.28-2234.36-2562.25-2210.28-2845.48V59.6211.9821.37-21.37110.1874.28106.2770.37113.2053.3794.3458.44101.2841.44113.20101.2874.28
续上表层次位置内力荷载形式由准永久荷载效应控制的组合 由可变荷载效应控制的组合Mmax及相应的N、VNmin及相应的M、VNmax及相应的M、V恒载活载左风右风1.35恒+1.4(0.7活+0.6风)1.2恒+1.4(0.6风+活)1.2恒+1.4(0.7活+风)1.0恒+1.4(0.6风+活)1.0恒+1.4(0.7活+风)左风右风左风右风左风右风左风右风左风右风3柱顶M-119.24-22.59-58.3058.30-232.08-134.14-223.69-125.74-246.85-83.61-199.84-101.89-223.00-59.76-246.85-223.00-134.14N-2274.64-588.6911.94-11.94-3637.65-3657.71-3543.70-3563.76-3289.77-3323.20-3088.78-3108.84-2834.84-2868.27-3289.77-2834.84-3657.71柱底M-135.36-27.18-47.7047.70-249.44-169.30-240.55-160.42-255.85-122.29-213.48-133.34-228.78-95.22-255.85-228.78-169.30N-2326.78-640.8311.94-11.94-3759.14-3779.20-3679.27-3699.33-3403.43-3436.87-3213.91-3233.97-2938.08-2971.51-3403.43-2938.08-3779.20V65.2812.7627.18-27.18123.4677.80119.0373.37128.8952.79105.9860.31115.8439.73128.89115.8477.802柱顶M-85.82-17.35-63.7063.70-186.37-79.35-180.78-73.77-209.17-30.81-163.62-56.60-192.00-13.64-209.17-192.00-79.35N-2843.05-757.9315.16-15.16-4568.15-4593.62-4460.03-4485.50-4133.21-4175.66-3891.42-3916.89-3564.60-3607.05-4133.21-3564.60-4593.62柱底M-112.40-22.70-63.7063.70-227.49-120.48-220.17-113.15-246.31-67.95-197.69-90.67-223.83-45.47-246.31-223.83-120.48N-2895.19-810.0715.16-15.16-4689.64-4715.11-4595.59-4621.06-4246.87-4289.32-4016.55-4042.02-3667.83-3710.282701.58-3667.83-4715.11V50.8310.2732.66-32.66106.1251.25102.8147.94116.7825.3492.6437.77106.6215.17116.78106.6251.251柱顶M-90.55-18.19-62.9562.95-192.95-87.19-187.00-81.25-214.62-38.36-168.89-63.14-196.51-20.25-214.62-196.51-87.19N-3413.86-927.7919.40-19.40-5501.65-5534.24-5379.24-5411.83-4978.71-5033.03-4696.47-4729.06-4295.93-4350.253214.56-4295.93-5534.24柱底M42.28-9.10-90.9790.97-28.25124.57-38.42114.41-85.54169.18-46.87105.95-94.00160.72227.10-45.73189.74N-3478.70-992.6319.40-19.40-5652.73-5685.32-5547.83-5580.42-5120.06-5174.38-4852.09-4884.68-4424.32-4478.64-5174.38-4424.32-5685.32V27.395.6331.74-31.7469.1615.8367.4114.0982.82-6.0561.938.6177.34-11.53-6.0577.3415.83
表5-34D柱的内力组合表(一般组合)层次位置内力荷载形式由准永久荷载效应控制的组合 由可变荷载效应控制的组合Mmax及相应的N、VNmin及相应的M、VNmax及相应的M、V恒载活载左风右风1.35恒+1.4(0.7活+0.6风)1.2恒+1.4(0.6风+活)1.2恒+1.4(0.7活+风)1.0恒+1.4(0.6风+活)1.0恒+1.4(0.7活+风)左风右风左风右风左风右风左风右风左风右风7柱顶M-70.56-3.22-5.555.55-103.07-93.75-93.84-84.52-95.60-80.06-79.73-70.41-81.49-65.95-103.07-81.49-93.75N-135.17-6.931.68-1.68-187.86-190.68-170.49-173.32-166.64-171.35-143.46-146.28-139.61-144.31-187.86-139.61-190.68柱底M-30.12-4.98-0.410.41-45.89-45.20-43.46-42.77-41.60-40.45-37.44-36.75-35.57-34.43-45.89-35.57-45.20N-168.6-40.361.68-1.68-265.75-268.57-257.41-260.24-239.52-244.22-223.69-226.52-205.80-210.50-265.75-205.80-268.57V40.273.282.39-2.3959.5955.5754.9250.9154.8848.1946.8742.8546.8340.1459.5946.8355.576柱顶M-38.27-8.06-14.5814.58-71.81-47.32-69.46-44.96-74.23-33.41-61.80-37.31-66.58-25.76-71.81-66.58-47.32N-371.45-81.925.48-5.48-577.14-586.34-555.82-565.03-518.35-533.69-481.53-490.74-444.06-459.40-577.14-444.06-586.34柱底M-31.57-7.75-1.971.97-51.87-48.56-50.39-47.08-48.24-42.72-44.07-40.77-41.92-36.41-51.87-41.92-48.56N-423.59-134.065.48-5.48-698.62-707.83-691.39-700.60-632.01-647.36-606.67-615.88-547.30-562.64-698.62-547.30-707.83V17.914.054.24-4.2431.7124.5930.7223.6031.4019.5327.1420.0227.8215.9431.7127.8224.595柱顶M-36.23-10.19-22.5522.55-77.84-39.95-76.68-38.80-85.03-21.89-69.44-31.55-77.79-14.65-77.84-77.79-39.95N-672.15-180.512.2-12.2-1074.04-1094.54-1049.03-1069.53-966.39-1000.55-914.60-935.10-831.96-866.12-1074.04-831.96-1094.54柱底M-34.22-9.14-7.927.92-61.81-48.50-60.51-47.21-61.11-38.93-53.67-40.36-54.27-32.09-61.81-54.27-48.50N-724.29-232.6412.2-12.2-1195.53-1216.03-1184.60-1205.09-1080.06-1114.22-1039.74-1060.23-935.20-969.36-1195.53-935.20-1216.03V18.064.967.81-7.8135.8022.6835.1822.0637.4715.6031.5618.4433.8511.9935.8033.8522.684柱顶M-34.23-9.13-28.2428.24-78.88-31.44-77.58-30.14-89.56-10.49-70.73-23.29-82.71-3.64-89.56-82.71-31.44N-973.33-279.2822.58-22.58-1568.72-1606.66-1540.02-1577.96-1410.08-1473.30-1345.35-1383.29-1215.41-1278.64-1410.08-1215.41-1606.66柱底M-34.22-9.14-15.2115.21-67.93-42.38-66.64-41.08-71.32-28.73-59.79-34.24-64.47-21.88-71.32-64.47-42.38N-1025.47-331.4222.58-22.58-1690.21-1728.14-1675.58-1713.52-1523.74-1586.97-1470.49-1508.43-1318.65-1381.87-1523.74-1318.65-1728.14V26.334.6811.14-11.1449.4930.7747.5128.7951.7820.5942.2423.5246.5115.3251.7846.5130.77
续前表层次位置内力荷载形式由准永久荷载效应控制的组合 由可变荷载效应控制的组合Mmax及相应的N、VNmin及相应的M、VNmax及相应的M、V恒载活载左风右风1.35恒+1.4(0.7活+0.6风)1.2恒+1.4(0.6风+活)1.2恒+1.4(0.7活+风)1.0恒+1.4(0.6风+活)1.0恒+1.4(0.7活+风)左风右风左风右风左风右风左风右风左风右风3柱顶M-34.23-9.13-32.6132.61-82.55-27.77-81.25-26.47-95.68-4.37-74.40-19.62-88.832.48-95.68-88.83-27.77N-1274.52-378.0736.05-36.05-2060.83-2121.39-2028.44-2089.00-1849.46-1950.40-1773.54-1834.10-1594.56-1695.50-1849.46-1594.56-2121.39柱底M-42.48-11.25-22.6622.66-87.41-49.34-85.76-47.69-93.73-30.28-77.26-39.20-85.23-21.78-93.73-85.23-49.34N-1326.66-430.2136.05-36.05-2182.31-2242.88-2164.00-2224.57-1963.13-2064.07-1898.67-1959.24-1697.80-1798.74-1963.13-1697.80-2242.88V19.665.2314.17-14.1743.5719.7642.8219.0148.568.8838.8815.0844.624.9548.5644.6219.762柱顶M-23.32-6.35-30.4930.49-63.32-12.09-62.49-11.26-76.898.48-57.82-6.60-72.2313.14-76.89-72.23-12.09N-1574.53-476.6251.61-51.61-2549.35-2636.06-2513.35-2600.06-2284.27-2428.78-2198.45-2285.15-1969.36-2113.87-2284.27-1969.36-2636.06柱底M-33.88-9.12-35.9335.93-84.86-24.49-83.61-23.24-99.900.71-76.83-16.47-93.127.48-99.90-93.12-24.49N-1626.67-528.7651.61-51.61-2670.84-2757.54-2648.92-2735.62-2397.93-2542.44-2323.58-2410.29-2072.60-2217.11-2397.93-2072.60-2757.54V14.673.9717.03-17.0338.009.3937.478.8645.34-2.3534.535.9242.40-5.2845.3442.409.391柱顶M-27.26-7.34-31.2331.23-70.23-17.76-69.22-16.75-83.633.82-63.77-11.30-78.189.27-83.63-78.18-17.76N-1872.43-574.6970.33-70.33-3031.90-3150.05-2992.40-3110.56-2711.65-2908.57-2617.92-2736.07-2337.16-2534.09-2711.65-2337.16-3150.05柱底M-13.63-3.67-88.4388.43-96.2852.28-95.7852.79-143.75103.85-93.0555.51-141.03106.58-143.75-141.0352.28N-1937.27-639.5370.33-70.33-3182.98-3301.13-3160.99-3279.14-2853.00-3049.93-2773.53-2891.69-2465.55-2662.47-2853.00-2465.55-3301.13V8.432.2724.67-24.6734.33-7.1234.02-7.4346.88-22.2032.33-9.1145.19-23.8846.8845.19-7.12
表5-35跨中弯矩的内力组合层次位置内力荷载形式永久荷载效应控制的组合由可变荷载效应控制的组合恒载活载左风右风1.35恒+1.40.7活+1.40.6风1.2恒+1.4(0.6风+活)1.2恒+1.4(风+0.7活)1.0恒+1.4(0.6风+活)1.0恒+1.4(风+0.7活)左风右风左风右风左风右风左风右风左风右风6AC跨跨中弯矩M160.859.531.47-1.47227.72225.25207.60205.13204.42200.30175.43172.96172.25168.13CD跨跨中弯矩M49.0910.41-2.092.0974.7278.2371.7375.2466.1872.0461.9165.4256.3762.221AC跨跨中弯矩M217.248.99.38-9.38349.02333.26336.98321.22321.69295.43293.54277.78278.25251.99CD跨跨中弯矩M50.4214.91-4.594.5978.8286.5377.5285.2368.6981.5467.4475.1558.6171.46层次位置内力荷载形式抗震组合重力荷载代表值左震右震1.2重力荷载代表值+1.3震1.0重力荷载代表值+1.3震左震右震左震右震6AC跨跨中弯矩M163.8111.73-11.73211.82181.32179.06148.56CD跨跨中弯矩M60.16-8.778.7760.7983.5948.7671.561AC跨跨中弯矩M241.6514.33-14.33308.61271.35260.28223.02CD跨跨中弯矩M61.36-21.2621.2645.99101.2733.7289.00
表5-36A柱的内力组合表(地震组合)层次位置内力荷载形式组合Mmax及相应的N、VNmin及相应的M、VNmax及相应的M、V重力荷载代表值左震右震1.2重力荷载+1.3地震1.0重力荷载+1.3地震震左震右震左震右震6柱顶M167.71-95.65495.65476.90325.6043.36292.06325.6043.36325.60N-235.4419.49-19.49-257.19-307.87-210.10-260.78-307.87-210.10-307.87柱底M142.75-23.76123.761140.41202.19111.86173.64202.19111.86202.19N-287.5819.49-19.49-319.76-370.43-262.24-312.92-370.43-262.24-370.43V-79.61-30.6230.62-135.34-55.73-119.42-39.80-55.73-119.42-55.735柱顶M142.75-141.772141.772-13.00355.60-41.55327.05355.60-41.55355.60N-616.8356.8-56.8-666.36-814.04-542.99-690.67-814.04-542.99-814.04柱底M129.18-75.99875.99856.22253.8130.38227.98253.8130.38253.81N-668.9756.8-56.8-728.92-876.60-595.13-742.81-876.60-595.13-876.60V-67.7-55.8455.84-153.83-8.65-140.294.89-8.65-140.29-8.654柱顶M134.84-178.402178.402-70.11393.73-97.08366.76393.73-97.08393.73N-997.28114.56-114.56-1047.81-1345.66-848.35-1146.21-1345.66-848.35-1345.66柱底M134.84-118.934118.9347.19316.42-19.77289.45316.42-19.77316.42N-1049.42114.56-114.56-1110.38-1408.23-900.49-1198.35-1408.23-900.49-1408.23V-69.15-76.2476.24-182.0916.13-168.2629.9616.13-168.2616.133柱顶M134.84-196.997196.997-94.29417.90-121.26390.94417.90-121.26417.90N-1377.73185.04-185.04-1412.72-1893.83-1137.18-1618.28-1893.83-1137.18-1893.83柱底M159.07-161.179161.179-18.65400.42-50.46368.60400.42-50.46400.42N-1429.42185.04-185.04-1474.75-1955.86-1188.87-1669.97-1955.86-1188.87-1955.86V-75.36-91.8491.84-209.8228.96-194.7544.0328.96-194.7528.962柱顶M100.96-180.116180.116-113.00355.30-133.19335.11355.30-133.19355.30N-1757.76265.51-265.51-1764.15-2454.48-1412.60-2102.92-2454.48-1412.60-2454.48柱底M137.11-220.141220.141-121.65450.72-149.07423.29450.72-149.07450.72N-1809.9265.51-265.51-1826.72-2517.04-1464.74-2155.06-2517.04-1464.74-2517.04V-61.04-102.63102.63-206.6760.17-194.4672.3860.17-194.4660.171柱顶M110.22-140.823140.823-50.81315.33-72.85293.29315.33-72.85315.33N-2137.35347.44-347.44-2113.15-3016.49-1685.68-2589.02-3016.49-1685.68-3016.49柱底M55.11-420.265420.265-480.21612.48-491.23601.45612.48-491.23612.48N-2202.19347.44-347.44-2190.96-3094.30-1750.52-2653.86-3094.30-1750.52-3094.30V-34.09-115.68115.68-191.29109.48-184.47116.29109.48-184.47109.48
表5-37C柱内力组合表(地震组合)层次位置内力荷载形式组合Mmax及相应的N、VNmin及相应的M、VNmax及相应的M、V重力荷载代表值左震右震1.2重力荷载+1.3地震1.0重力荷载+1.3地震震左震右震左震右震7柱顶M60.43-36.12936.12925.55119.4813.46107.40119.483713.4623119.4837N-134.1510.95-10.95-146.75-175.22-119.92-148.39-175.215-119.915-175.215柱底M-69.98-8.6968.696-95.28-72.67-81.28-58.68-72.6712-81.2848-72.6712N-167.5810.95-10.95-186.86-215.33-153.35-181.82-215.331-153.345-215.331V3.82-17.9317.93-18.7327.89-19.4927.1327.893-19.48927.8936柱顶M-101.43-113.935113.935-269.8326.40-249.5546.69-269.83-249.5526.40N-565.3111.39114.935-663.57-528.96-550.50-415.89-663.57-550.50-528.96柱底M-114.42-75.95675.956-236.05-38.56-213.16-15.68-236.05-213.16-38.56N-617.4511.3976.956-726.13-640.90-602.64-517.41-726.13-602.64-640.90V55.35-48.6948.693.12129.72-7.95118.653.12-7.95129.725柱顶M-134.43-190.433190.433-408.8886.25-381.99113.13-408.88-381.9986.25N-1193.8111.46-11.46-1417.67-1447.47-1178.91-1208.71-1417.67-1178.91-1447.47柱底M-131.29-155.809155.809-360.1045.00-333.8471.26-360.10-333.8445.00N-1245.9511.46-11.46-1480.24-1510.04-1231.05-1260.85-1480.24-1231.05-1510.04V68.13-88.7888.78-33.66197.17-47.28183.54-33.66-47.28197.174柱顶M-124.59-260.017260.017-487.53188.51-462.61213.43-487.53-462.61188.51N-1822.6616.36-16.36-2165.92-2208.46-1801.39-1843.93-2165.92-1801.39-2208.46柱底M-131.29-212.741212.741-434.11119.02-407.85145.27-434.11-407.85119.02N-1874.816.36-16.36-2228.49-2271.03-1853.53-1896.07-2228.49-1853.53-2271.03V65.61-121.22121.22-78.85236.32-91.98223.20-78.85-91.98236.323柱顶M-124.59-284.739284.739-519.67220.65-494.75245.57-519.67-494.75220.65N-2451.517.23-17.23-2919.40-2964.20-2429.10-2473.90-2919.40-2429.10-2964.20柱底M-148.7-284.739284.739-548.60191.72-518.86221.46-548.60-518.86191.72N-2503.6417.23-17.23-2981.97-3026.77-2481.24-2526.04-2981.97-2481.24-3026.77V70.07-146.02146.02-105.74273.91-119.76259.90-105.74-119.76273.912柱顶M-94.73-318.182318.182-527.31299.96-508.37318.91-527.31-508.37299.96N-3082.0620.47-20.47-3671.86-3725.08-3055.45-3108.67-3671.86-3055.45-3725.08柱底M-124.04-318.182318.182-562.48264.79-537.68289.60-562.48-537.68264.79N-3134.220.47-20.47-3734.43-3787.65-3107.59-3160.81-3734.43-3107.59-3787.65V56.09-163.17163.17-144.81279.43-156.03268.21-144.81-156.03279.431柱顶M-99.36-271.462271.462-472.13233.67-452.26253.54-472.13-452.26233.67N-3715.3925.63-25.63-4425.15-4491.79-3682.07-3748.71-4425.15-3682.07-4491.79柱底M-49.68-405.501405.501-586.77467.54-576.83477.47-586.77-576.83467.54N-3780.2325.63-25.63-4502.96-4569.60-3746.91-3813.55-4502.96-3746.91-4569.60V30.73-139.58139.58-144.58218.33-150.72212.18-144.58-150.72218.33
表5-38D柱的内力组合表(地震组合)层次位置内力荷载形式组合Mmax及相应的N、VNmin及相应的M、VNmax及相应的M、V重力荷载代表值左震右震1.2重力荷载+1.3地震1.0重力荷载+1.3地震震左震右震左震右震7柱顶M-71.78-36.12936.129-133.10-39.17-118.75-24.81-133.104-118.748-39.1683N-137.5910.95-10.95-150.87-179.34-123.36-151.83-150.873-123.355-179.343柱底M-32.68-8.6968.696-50.52-27.91-43.98-21.38-50.5208-43.9848-27.9112N-171.0210.95-10.95-190.99-219.46-156.79-185.26-190.989-156.785-219.459V41.78-17.9317.9326.8373.4518.4765.0926.82718.47173.4456柱顶M-42.35-68.29868.298-139.6137.97-131.1446.44-139.61-131.1437.97N-394.730.88-30.88-433.50-513.78-354.56-434.84-433.50-354.56-513.78柱底M-35.45-30.68430.684-82.43-2.65-75.344.44-82.43-75.34-2.65N-446.8430.88-30.88-496.06-576.35-406.70-486.98-496.06-406.70-576.35V19.95-25.3825.38-9.0556.93-13.0452.94-9.05-13.0456.935柱顶M-41.33-97.48797.487-176.3377.14-168.0685.40-176.33-168.0677.14N-722.5168.26-68.26-778.27-955.75-633.77-811.25-778.27-633.77-955.75柱底M-38.79-83.04483.044-154.5161.41-146.7569.17-154.51-146.7561.41N-774.6568.26-68.26-840.84-1018.32-685.91-863.39-840.84-685.91-1018.32V20.54-46.2946.29-35.5384.83-39.6480.72-35.53-39.6484.834柱顶M-38.8-145.446145.446-235.64142.52-227.88150.28-235.64-227.88142.52N-1050.91130.92-130.92-1090.90-1431.29-880.71-1221.11-1090.90-880.71-1431.29柱底M-38.79-101.073101.073-177.9484.85-170.1892.60-177.94-170.1884.85N-1103.05130.92-130.92-1153.46-1493.86-932.85-1273.25-1153.46-932.85-1493.86V19.89-63.2163.21-58.31106.04-62.28102.06-58.31-62.28106.043柱顶M-38.8-148.473148.473-239.57146.45-231.81154.21-239.57-231.81146.45N-1379.32202.27-202.27-1392.23-1918.14-1116.37-1642.27-1392.23-1116.37-1918.14柱底M-48.11-148.473148.473-250.75135.28-241.12144.90-250.75-241.12135.28N-1431.46202.27-202.27-1454.80-1980.70-1168.51-1694.41-1454.80-1168.51-1980.70V22.28-76.1476.14-72.25125.72-76.70121.26-72.25-76.70125.722柱顶M-26.5-135.711135.711-208.22144.62-202.92149.92-208.22-202.92144.62N-1706.43285.98-285.98-1675.94-2419.49-1334.66-2078.20-1675.94-1334.66-2419.49柱底M-38.44-196.109196.109-301.07208.81-293.38216.50-301.07-293.38208.81N-1758.57285.98-285.98-1738.51-2482.06-1386.80-2130.34-1738.51-1386.80-2482.06V16.65-85.0885.08-90.62130.58-93.95127.25-90.62-93.95130.581柱顶M-30.93-116.306116.306-188.31114.08-182.13120.27-188.31-182.13114.08N-2031.2373.07-373.07-1952.45-2922.43-1546.21-2516.19-1952.45-1546.21-2922.43柱底M-15.47-409.951409.951-551.50514.37-548.41517.47-551.50-548.41514.37N-2096.04373.07-373.07-2030.26-3000.24-1611.05-2581.03-2030.26-1611.05-3000.24V9.57-108.51108.51-129.58152.55-131.49150.63-129.58-131.49152.55
5.8截面设计5.8.1框架梁截面设计1.选取最不利内力组合(1)求跨间最大弯矩用结构力学求解器求解跨间最大弯矩。表5-39跨间最大弯矩(kN·m)层号AC跨CD跨左震右震1/2跨间最大弯矩左震右震1/2跨间最大弯矩775.8974.7857.3375.896254.79283.39229283.3964.29102.0768.77102.071236.71131.19118.36236.71187.9432276.09322(2)“强剪弱弯”的调整为避免梁的剪切破坏,应按“强剪弱弯”的原则对框架两端截面组合的剪力设计值进行调整,调整过程详见表5-40(5.19)式中:—梁端剪力增大系数,抗震等级一级取1.3,二级取1.2,三级取1.1;,—分别为梁的左、右端截面顺时针方向或反时针方向抗震组合的弯矩值;—梁的净跨;—梁在重力荷载值作用下,按简支梁分析的梁端截面剪力设计值。表5-40架梁“强剪弱弯”的调整层号梁(kN·m)(kN·m)(m)(kN)(KN)(kN)(kN)左震7CD3.7990.311.205.9059.79-59.7978.93-40.656AC-15.51291.531.207.70134.76-189.97177.78-146.95CD-19.16140.831.205.9073.72-73.7298.47-48.971AC236.71657.961.207.70181.34-261.04320.77-121.61CD187.94410.271.205.9082.92-82.92204.5938.75右震7CD-80.196.331.205.9059.79-59.7944.77-74.816AC-246.47132.311.207.70134.76-189.97116.97-207.76CD-142.89-41.231.205.9073.72-73.7236.27-111.171AC-627.24-118.351.207.70181.34-261.0465.14-377.24CD-415.03-322.751.205.9082.92-82.92-67.14-232.98
(3)承载力抗震调整考虑地震作用时,结构构件的截面设计采用下面的表达式:≤(5.20)式中—承载力抗震调整系数,取值见表5-41—地震作用效应或地震作用效应与其它荷载效应的基本组合;—结构构件的承载力。表5-41载力抗震调整系数材料结构构件受力状态钢筋混凝土受弯构件受弯0.75轴压比小于0.15的柱偏压0.75轴压比不下于0.15的柱偏压0.8剪力墙偏压0.85偏心受拉构件受剪、偏拉0.85经计算得出梁的最不利内力及调整结果见表5-42外,对于跨高比大于2.5的梁,有,经计算均符合要求。表5-42抗震设计时框架梁的最不利内力层号位置AC跨CD跨7左端-80.1981.22-60.1460.92跨间75.8956.92右端90.31-85.3567.73-64.016左端-246.47139.84-184.8553.01-142.83-102.30-107.12-76.73跨间283.39212.54102.0776.55右端132.31-189.3299.23-61.45-238.82151.04-179.12113.281左端-627.24269.40-470.43137.19-415.03218.76-311.27164.07跨间506.72380.04322.00241.50右端-118.35-203.60-88.76-148.94410.27-190.34307.70-142.76
2.梁的正截面承载力计算混凝土强度等级:C35级=16.7N/mm,=1.57N/mm钢筋强度等级纵筋HRB400级=360N/mm箍筋HRB400级=360N/mm(1)支座截面:以1层CD梁D支座为例计算,其余各梁通过表格形式给出,具体过程详见框架梁正截面承载力计算表5-43。截面尺寸为300mm×600mm;按矩形截面计算。假设梁内放置两层钢筋二级抗震时,梁正截面受弯承载力计算中,计入纵向受压钢筋梁端混凝土的受压区高度应符合,于是,满足要求。二级抗震时,=max{0.3%,(65/)%}=0.3%实际配筋为32525+222.(2)跨间最大弯矩截面(跨间截面按T形截面计算):以1层AC跨为例进行计算,其余各框梁的计算通过表格形式给出,具体过程详见框架梁正截面承载力计算表5-43。1)翼缘计算宽度的确定取下列三种情况的最小值按计算跨度考虑:按梁肋净距sn考虑:按翼缘高度考虑:mm由以上可知,2)T形截面类型判断
故属于第一类T形截面。3)钢筋面积计算实配钢筋为325+222(3)抗震设计构造措施要求:1)梁端受压钢筋混凝土的受压区高度及有效高度之比,一级规定不应大于0.25,二、三级规定不应大于0.35。2)除按计算确定外,梁端截面的底面和顶面的纵向钢筋配筋量的比值有如下规定:一级不应小于0.5,二、三级不应小于0.3。3)梁端箍筋最小直径、最大间距及加密区最大长度按表5-43采用。表5-43梁端箍筋最小直径、最大间距及加密区最大长度抗震等级加密区长度采用较大值单位:mm箍筋最大间距采用较小值单位:mm箍筋最小直径mm一2,500/4,6d,10010二1.5,500/4,8d,1008三1.5,500/4,8d,1508四1.5,500/4,8d,1506
表5-44框架梁正截面承载力计算层号截面位置(mm×mm)(kNm)(T形)(矩形)(mm²)(矩形)(mm²)实际配筋(mm×mm)(T形)(mm²)(T形)6A右300×700-184.850.08870.0930834.926303C20AC跨间1740×700212.543282.55(第一类)0.01090.0110920.396303C20C左300×70099.230.04760.0488438.056303C20C右300×600-107.120.07200.0748567.195403C20CD跨间1740×60076.552138.27(第一类)0.00700.0070391.545403C20D左300×600-179.120.12040.1286975.685403C201A右300×700-470.430.22570.25932327.806305C25AC跨间1740×700380.043282.55(第一类)0.01950.01971653.006303C25+2C22C左300×700-88.760.04260.0435390.776303C25+2C22
续上表截面位置(mm×mm)(kNm)(T形)(矩形)(mm²)(矩形)(mm²)实际配筋(mm×mm)(T形)(mm²)(T形)C右300×600241.50.20920.23731800.135403C25+2C22CD跨间1740×600317.342138.27(第一类)0.02910.02951641.665403C25+2C22D左300×60307.70250.20680.23421776.325403C25+2C22
3.梁的斜截面承载力计算以1层CD跨梁D支座为例,其余各梁通过表格形式给出,具体过程详见框架梁斜截面承载力计算表5-45。(1)截面尺寸要求由于跨高比大于2.5,由建筑抗震规范知:,故满足要求。(2)判断构造配筋还是计算配筋,式中为截面混凝土受剪承载力系数,对于一般受弯构件取0.7;表5-45斜截面计算配筋层号(mm×mm)斜截面位置(kN)(kN)截面尺寸要求(kN)配箍6300×640A右104.88646.29满足127.59构造300×640C左-141.99646.29满足127.59计算300×540C右-76.73546.09满足107.81构造300×540D左113.28546.09满足107.81计算1300×640A右202.05646.29满足127.59计算300×640C左-152.7646.29满足127.59计算300×540C右164.07546.09满足107.81计算300×540D左-142.76546.09满足107.81计算对于二级抗震等级的框架梁箍筋加密区的长度应取1.5h和500mm中的较大值,即;箍筋的最小直径为8mm,最大间距为纵向钢筋直径的8倍、梁高的1/4,和100mm中的最小值,即。梁端设置的第一个箍筋距框架梁节点边缘不应大于50mm,非加密区箍筋间距不宜大于加密区箍筋间距的2倍。沿梁全长箍筋的配筋率应满足:,取双肢箍,非加密区C8@200。此时,加密区取为C8@100。
表5-46斜截面实际配筋层号梁<250取值实际配筋配箍率最小配筋率(mm2/mm)(mm2)mmmm(mm2)(%)6A右278.5200C8@2001.120.12C左0.06278.51899200C8@2001.120.12C右278.5200C8@2001.120.12D左0.03278.54224200C8@2001.120.121A右0.32278.5367200C8@2001.120.12C左0.11278.51089200C8@2001.120.12C右0.29278.5411200C8@2001.120.12D左0.18278.5661200C8@2001.120.125.8.2框架柱截面设计1.轴压比验算及内力调整混凝土强度等级:C35级=16.7N/mm,=1.57N/mm钢筋强度等级:纵筋HRB400:=360N/mm;箍筋HRB400:=360N/mm(1)轴压比验算为了使柱具有一定的延性,要控制柱的轴压比。计算公式为:根据《建筑抗震设计规范》,柱的轴压比不宜超过表5-47的规定。验算结果见表5-48。表5-47柱的轴压比限值结构类型抗震等级一二三四框架结构0.650.750.850.90框架-抗震墙、板柱-抗震墙、框架核心筒及筒中筒0.750.850.900.95部分框支抗震墙0.60.7——
表5-48柱的轴压比验算轴数层号(mm)(mm)混凝土强度轴力(kN)轴压比μ﹤0.75N/mmA轴670070016.7370.430.045满足570070016.7876.600.107满足270070016.72517.040.308满足170070016.73094.300.378满足C轴670070016.7640.900.078满足570070016.71510.040.185满足270070016.73787.650.463满足170070016.74569.600.558满足D轴670070016.7576.350.070满足570070016.71018.320.124满足270070016.72482.060.303满足170070016.73000.240.367满足(2)“强柱弱梁”的调整1)为了避免框架结构的底层柱下端过早屈服,影响整个结构的变形能力。同时,随着框架梁铰的出现,由于塑性内力重分布底层柱的反弯点具有较大的不确定性。因此,对二级框架底层柱底的弯矩设计值乘以1.5的增大系数。
表5-49强柱弱梁调整轴号节点上柱下柱左梁右梁上柱弹性比下柱弹性比最终上柱最终下柱组合:1.2重力荷载代表值+1.3震左震作用下=1.5A1-121.65-50.810236.71-172.46355.0650.70540.2946-250.46-104.612-18.65-113.30199-131.95298.50.14130.8587-42.19-256.315140.41-130-21.5140.41-13C1-562.48-472.13657.96187.94-1034.611268.850.54370.4563-689.83-579.022-548.6-527.31678.41206.77-1075.911327.770.50990.4901-677.02-650.755-236.05-408.88458.9635.37-644.93741.4950.36600.6340-271.39-470.10D1-301.07-188.31410.270-489.38615.4050.61520.3848-378.60-236.802-250.75-208.22379.330-458.97568.9950.54630.4537-310.86-258.135-82.43-176.33199.480-258.76299.22-82.43-176.33右震作用下=1.5A1450.72315.330-627.24766.05-940.860.58840.4116553.57387.292400.42355.30-615.14755.72-922.710.52990.4701488.90433.815202.19355.60-627.24202.19355.6C1264.79233.67-118.35-415.03498.46-800.070.53120.4688425.01375.062191.71299.96-118.39-414.63491.67-799.530.38990.6101311.75487.785-38.5686.25-417.94-238.82124.81-985.140.30890.6911-304.36680.78D1208.81114.08-322.750322.89-484.1250.64670.3533313.08171.052135.28144.62-283.380279.9-425.070.48330.5167205.44219.635-2.6577.14-99.76079.79-149.64-2.6577.14
续上表轴号节点上柱下柱左梁右梁上柱弹性比下柱弹性比最终上柱最终下柱组合:1.0重力荷载代表值+1.3震左震作用下=1.5A1-149.07-72.850269.26-221.92403.890.67170.3283-271.30-132.592-50.46-133.190233.68-183.65350.520.27480.7252-96.31-254.215111.86-41.55015.12111.86-41.55C1-537.68-452.26612.99206.86-989.941229.7750.54310.4569-667.94-561.832-518.86-508.37631.74224.09-1027.231283.7450.50510.4949-648.43-635.325-213.16-318.99411.6752.33-532.156960.40060.5994-278.79-417.21D1-239.38-182.13402.980-421.51604.470.56790.4321-343.28-261.192-241.12202.92371.340-444.04557.010.54300.4570-302.46-254.555-75.34-168.06191.170-75.34-168.06右震作用下=1.5A1423.29293.290-594.7716.58-892.050.59070.4093526.94365.112368.6355.110-580.46723.71-870.690.50930.4907443.46427.235173.64327.050-381.32173.64327.05C1289.6253.54-163.31-396.1543.14-839.1150.53320.4668447.41391.702221.46318.91-165.06-397.31540.37-843.5550.40980.5902345.71497.845-15.68113.1361.21-221.87-128.81-240.990.12170.8783-29.34211.65D1216.5120.27-330.040336.77-495.060.64290.3571318.26176.802144.9149.92-291.380294.82-437.070.49150.5085214.81222.2654.4485.4-108.0704.4485.40
5-50底层柱底的调整(kN·m)轴号项目1.2重力荷载代表值+1.3震1.0重力荷载代表值+1.3震左震右震左震右震A柱原值-480.21612.48-491.23601.45调整值-720.32918.72-736.85902.18C柱原值-586.77467.54-576.83477.47调整值-880.16701.31-865.25716.21D柱原值-551.50514.37-548.41517.47调整值-827.25771.56-822.62776.212)为了满足和提高框架结构“强柱弱梁”程度,在抗震设计中采用增大柱端弯矩设计值的方法,对于二级框架,框架的梁、柱节点处,除框架顶层和柱轴压比小于0.15外,柱端组合的弯矩设计值应符合下列要求:=(5.21)式中:——柱端弯矩增大系数,一级为1.7,二级为1.5,三级为1.3,四级为1.2;一、二、三级框架结构的底层,柱下端截面的弯矩设计值,增大系数分别为:1.7、1.5、1.3和1.2。底层柱的纵向钢筋应按照上下端的不利情况配置。当反弯点不在柱的层高范围内时,柱端截面组合的弯矩设计值可乘以上述柱端弯矩增大系数。——节点上、下柱端顺时针或反时针方向截面组合的弯矩设计值之和;—节点左、右梁端反时针或顺时针方向截面组合的弯矩设计值之和。先计算公式两侧,若>则不用调整;若﹤则做如下调整:将与的差值按柱的弹性分析弯矩值之比分配给节点上下柱端。调整结果见表5-49和表5-50。3)柱剪力的调整抗震设计时,框架柱的剪力设计值要适当提高,抗震等级为二级的框架柱剪力设计值应按下式调整,调整结果见表5-51。(5.22)式中:——柱端组合剪力设计值;——柱的净高;、——考虑地震组合,且经过调整后的框架柱的上下端的弯矩设计值;——柱剪力增大系数,二级框架为1.3
表5-51柱剪力的调整轴号层数组合:1.2重力荷载代表值+1.3震左震作用下A676.9140.413.972.441-256.31-480.214.85-197.42C6-269.83-271.393.9-180.411-579.02-586.774.85-312.48D6-139.61-82.433.9-74.011-236.8-551.54.85-211.30右震作用下A6325.6-82.433.981.061433.81612.484.85280.45C626.4-340.363.9-104.651375.06467.544.85225.85D637.972.653.913.541171.05514.374.85183.72组合:1.0重力荷载代表值+1.3震左震作用下A643.36202.193.981.851-254.21-491.234.85-199.81C6-249.55-278.793.9-176.111-561.83-576.834.85-305.21D6-131.14-75.343.9-68.831-261.19-548.414.85-217.01右震作用下A6292.06-38.563.984.501427.23601.454.85275.73C646.69-29.343.95.781391.7-477.474.85232.97D646.444.443.916.961176.8517.474.85186.092.柱的正截面受弯承载力计算(1)非抗震设计1)截面尺寸复核取因为,=655/700=0.936<4所以,=0.25×1.0×16.7×700×655=1914.238kN>=312kN。满足要求。2)正截面受弯承载力计算柱同一截面分别受正反向弯矩,故采用对称配筋。以1层A柱为例,其余各柱通过表格形式计算,具体过程详见截面设计表5-53根据内力组合表可知,初步确定:
内力组合均为大偏心受压(N<Nb),选用M大N小的组合:,大偏心受压的计算:=由混凝土规范知:弯矩作用平面内截面对称的偏心受压构件,当同一主轴方向的杆端弯矩比不大于0.9时,若构件的长细比满足的要求可不考虑轴向压力在该方向挠曲杆件中产生的附加弯矩影响。则可取=+-=79.75+700/2-45=384.75mm每侧配钢筋为422,(As=1520mm2)。(3)抗震设计具体计算过程详见截面设计计算表5-54
表5-52框架柱正截面受弯承载力计算(非抗震)计算公式1层A柱内力组合6层A柱内力组合1层C柱内力组合6层C柱内力组合1层D柱内力组合6层D柱内力组合M大的组合N小的组合M大的组合N小的组合M大的组合N大的组合M大的组合N小的组合M大的组合N小的组合M大的组合N小的组合内力(kN·m)187.8267.46246.10153.33227.10189.74160.37137.49143.7578.1871.8166.58(kN)3329.242483.00333.14243.685174.385685.32973.44648.952853.002337.16577.14444.06(kN)70.25-0.62115.3577.49-6.0515.8381.9968.7946.8845.1931.7127.82截面(mm)700700700700700700700700700700700700(mm)700700700700700700700700700700700700基本参数45454545454545454545454565565565565565565565565565565565565556.4227.17738.73629.2343.8933.37164.75211.8750.3933.45124.42149.9323232323232323232323232379.7553.42762.0653.4267.2253.42188.0853.4273.7253.42147.7653.42
384.75358.421067.06358.42372.22358.42493.08358.42378.72358.42452.76358.42续上表284.79212.4028.5020.85442.63486.3483.2755.51244.05199.9349.3737.99与比较339.29339.29339.29339.29339.29339.29339.29339.29339.29339.29339.29339.29大小偏心受压的判断大偏压大偏压大偏压大偏压小偏压小偏压大偏压大偏压大偏压大偏压大偏压大偏压判断284.794212.40490.00090.000442.633486.34090.00090.000244.055199.92890.00090.000大偏心受压计算-1938.33-2152.59-1303.73-2524.78-736.79-1863.32-2004.03-2092.55-1732.59-2197.73小偏心受压计算0.7090.75-1681.60-1426.19单侧,=0.2%980980980980980980980980980980980980全部=0.85%416541654165416541654165416541654165416541654165每侧选配钢筋4C224C224C224C224C224C22实配单侧152015201520152015201520152015201520152015201520
实配全部456045604560456045604560表5-53框架柱正截面受弯承载力计算(抗震)计算公式1层A柱内力组合6层A柱内力组合1层C柱内力组合6层C柱内力组合1层D柱内力组合6层D柱内力组合M大组合N小组合M大组合N小组合M大组合N大组合M大组合N小组合M大组合N小组合M大组合N小组合内力(kN·m)612.48072.850325.60043.360586.770467.540269.830249.550551.500182.130139.610131.140(kN)3094.3001685.680307.870210.1004502.9604569.600663.570550.5002030.2601546.210433.500354.560(kN)109.480184.47055.730119.420144.580218.3303.1207.950129.580131.4909.05013.040轴压比验算0.3780.2060.0380.0260.5500.5580.0810.0670.2480.1890.0530.0430.15>0.15>0.15<0.15<0.15>0.15>0.15<0.15<0.15>0.15>0.15<0.15<0.150.800.800.750.750.800.800.750.750.800.800.750.75截面(mm)700700700700700700700700700700700700(mm)700700700700700700700700700700700700基本参数454545454545454545454545655655655655655655655655655655655655197.9443.221057.59206.38130.31102.32406.63453.32271.64117.79322.05369.87232323232323232323232323
221.2753.421080.9253.42153.6453.42429.9753.42294.9753.42345.3953.42526.27358.421385.92358.42458.64358.42734.97358.42599.97358.42650.39358.42续上表211.76115.3619.7513.48308.16312.7242.5735.32138.94105.8127.8122.75与比较211.76115.3690.0090.00308.16312.7290.0090.00138.94105.8190.0090.00339.29339.29339.29339.29339.29339.29339.29339.29339.29339.29339.29339.29大小偏心受压的判断大偏压大偏压大偏压大偏压大偏压大偏压大偏压大偏压大偏压大偏压大偏压大偏压大偏心受压计算-257.58-1467.07-1465.25-2665.31-693.57-2334.25-1256.85-2248.63106.83-1372.57-1959.58-2488.48单侧,=0.2%980.0980.0980.0980.0980.0980.0980.0980.0980.0980.0980.0980.0全部4165.04165.04165.04165.04165.04165.04165.04165.04165.04165.04165.04165.0
=0.85%选配钢筋4C254C254C254C254C254C25实配单侧152015201520152015201520152015201520152015201520实配全部456045604560456045604560
3.柱的斜截面承载力计算由于抗震组合中柱的剪力较大,因此只考虑抗震组合作用下柱的斜截面承载力计算表5-54框架柱斜截面受弯承载力计算(抗震)计算公式1层A柱6层A柱1层C柱6层C柱1层D柱6层D柱(kN·m)612.480325.600586.770269.830551.500139.610(kN)3094.30307.8704502.960663.5702030.260433.500(kN)109.48055.730144.5803.120129.5809.050计算剪跨比8.548.926.20132.046.5023.550.850.850.850.850.850.85(mm)700700700700700700(mm)700700700700700700454545454545(mm)655655655655655655截面尺寸要求1801.6351801.6351801.6351801.6351801.6351801.635﹥V满足﹥V满足﹥V满足﹥V满足﹥V满足﹥V满足2454.92454.92454.92454.92454.92454.92454.90307.8702454.90663.5702030.26433.500计算剪跨比λ小于1.0时,取1.0;λ大于3.0时,取3.03.003.003.003.003.003.00384.040242.588384.040266.023356.063250.865是否构造配箍筋>V是>V是>V是>V是>V是>V是构造构造构造构造构造构造轴压比0.3780.0380.5500.0810.2480.053柱最小配箍特征值0.090.080.1200.080.080.08加密区最小体积配箍率0.42%0.37%0.56%0.37%0.37%0.37%0.60%0.60%0.60%0.60%0.60%0.60%加密区体积配箍率0.60%0.60%0.60%0.60%0.60%0.60%取井字复合箍=314/mm24C84C84C84C84C84C8实配箍筋非加密区4C8@150加密区4C8@100
5.8.3节点计算1.框架节点的破坏形态在竖向荷载和地震共同作用下,框架梁柱节点主要承受柱传来的弯矩、剪力、轴向力和梁传来的弯矩、剪力。节点区的破坏形式主要是由主拉应力引起的剪切破坏。如果节点不设置箍筋或箍筋数量不足,则会由于其抗剪能力不足,节点区出现多条交叉斜裂缝,斜裂缝间混凝土被压碎,柱内纵向钢筋被压屈。2.框架梁柱节点核芯区的抗震验算要求《建筑抗震设计规范》规定:一、二、三级框架的节点核芯区应进行抗震验算;四级框架节点核芯区可不进行抗震验算,但应符合抗震构造措施要求。3.框架梁柱节点核芯区抗震验算方法(1)节点剪力设计值计算对于二级框架梁柱,其节点核芯区组合的剪力设计值应按下列公式确定,节点剪力设计值计算结果见表5-56,。=(1-);(一般层)(5.25)=(顶层)(5.26)式中:—梁柱节点核芯区组合的剪力设计值;—梁截面的有效高度,节点两侧梁截面高度不等时可采用平均值;—为节点上、下柱反弯点间的距离;—梁的截面高度,节点两侧梁截面高度不等时可采用平均值;—节点剪力增大系数,对于框架结构,一级宜取1.5,二级宜取1.35,三级宜取1.2;—梁纵向受压钢筋合力点至截面近边的距离。—节点左右梁端反时针或顺时针方向组合弯矩设计值之和。(2)节点核心区截面验算在节点设计中,首先要验算节点截面的限制条件,以防节点截面太小,核芯区混凝土承受过大斜压应力致使节点混凝土先被压碎而破坏。《建筑抗震设计规范》中规定,钢筋混凝土结构的梁柱抗震墙和连梁,其截面设计值应符合下列要求:≤=(0.30)(5.27)式中:—正交梁的约束影响系数;楼板为现浇、梁柱中线重合、四侧各梁的截面宽度大于该侧柱的截面宽度的1/2,并且在正交方向的梁高不小于框架梁高的3/4时,
取1.5,9度设防区一级框架宜采用1.25,其他情况取1.0。—节点核芯区的截面高度,可采用验算方向的柱截面的高度;—抗震承载力调整系数,取0.85;—节点核心区的截面有效验算宽度,对于A节点,验算方向的梁的截面宽度小于柱截面宽度的1/2,取==700mm和=300+0.5×700=650mm中的较小值,即取=650mm;对于C节点,C左=C右为650mm;对于D节点,取==650mm。经验算,节点核芯区截面均满足要求,具体计算过程见表5-57。(3)节点核芯区受剪承载力验算节点核芯区截面的抗剪承载力,应采用下式验算:≤=(1.1+0.05+)(5.28)式中:—对应考虑地震组合剪力设计值的节点上柱底部的轴向力设计值;当N为压力时,取轴向压力设计值的较小值,且当N大于时,取,当N为拉力时,取N=0;—正交梁的约束影响系数;楼板为现浇、梁柱中线重合、四侧各梁的截面宽度大于该侧柱的截面宽度的1/2,并且在正交方向的梁高不小于框架梁高的3/4时,取1.5,9度设防区一级框架宜采用1.25,其他情况取1.0。—核芯区有效验算宽度范围内的同一截面验算方向上的箍筋各肢的总截面面积;—箍筋抗拉强度设计值;—混凝土的轴心抗拉强度设计值;—箍筋间距。经验算,节点核芯区受剪承载力均满足要求,具体计算过程见表5-56。表5-55节点剪力设计值计算表层号节点(mm)(mm)(mm)(mm)(kN·m)(kN)6层A70066040无246.470536.669C65061040无310.690735.845D60056040无140.830365.6161层A700660403362.000627.2401047.668C650610403895.000845.9001651.532D600560403377.000410.270865.677
表5-56节点核芯区截面及受剪承载力验算表层号节点((mm)节点配筋)结论6层A650700700660404679.51.016.71.573604C8@1003140.85536.6691842.563满足C650700700610404345.251.016.71.573604C8@1003140.85735.8451770.525满足D650700700560404345.251.016.71.573604C8@1003140.85365.6161714.005满足1层A650700700660404345.251.016.71.573604C8@1003140.851047.6681827.045满足C650700700610404345.251.016.71.573604C8@1003140.851651.5321770.525满足D650700700560404345.251.016.71.573604C8@1003140.85865.6771714.005满足
5.9楼板设计5.9.1楼板类型及设计方法的选择对于楼板,根据弹性理论,当时,按双向板计算,当时按单向板计算。当时,宜按双向板配筋,当按单向板计算时,应沿长边方向配足够的构造钢筋。对于双向板,其计算采用单区格为基础的实用计算方法,此方法假定支承梁不受扭且无竖向位移。同时,双向板沿同一方向相邻跨度的比值应大于等于0.75,以免误差过大。求跨中最大弯矩时,把荷载分解成及间隔布置±q/2两种情况。g是均布恒荷载,q是均布活荷载,对于前一种情况,可近似认为各区格板都固定支承在中间支承上;对于后一种情况,可近似认为各区格板在中间支承处都是简支的,沿楼盖周边根据实际情况确定。由单区格板的跨中弯矩叠加得到各区格板的跨中最大弯矩。支座最大负弯矩可以近似按满布活载时求得,这时可以认为各区格板都固定在中间支座上,楼盖周边按实际支撑情况确定,然后按单块双向板计算出各支座的负弯矩,相邻区格支座处弯矩不相等时,取绝对值较大者作为该支座的最大负弯矩。5.9.2双向板的计算选取3.6m×5.7m的板按弹性理论设计,采用C35混凝土(=16.7N/mm,=1.57N/mm),板中钢筋采用HRB400级(==360N/mm)。1.荷载计算由前面的计算可知,楼面活荷载=2.0kN/m2,楼面恒荷载=3.94kN/m2;屋面活荷载=0.5kN/m2,屋面恒荷载=4.948kN/m2。荷载设计值计算见表5-58。表5-57荷载设计值计算板分类荷载楼面屋面恒载3.944.948活载q2.00.51.2+1.47.5286.6381.2+1.4/26.1286.2881.4/21.40.352.内力计算
按弹性理论,根据板的支承情况和短跨与长跨的比值,在双向板弯矩、挠度计算系数表中查出相应的弯矩系数,即可求得有关弯矩:=表中系数×(5.29)式中:—跨中或支座单位板宽内的弯矩设计值(kN·m);—均布荷载设计值(kN/m²);—短跨方向的计算长度(m).双向板弯矩、挠度计算系数是根据材料的泊松比=0制定的,当≠0时,可按下式计算:(5.30)(5.31)对混凝土,可取=0.2。双向板的弯矩计算系数见表5-59。因本设计中所有板都搭在梁上,所以计算跨度即为轴线长,即=(为轴线长),跨中最大弯矩为当内支座固定时在+/2作用下的跨中弯矩值,与内支座简支时在/2作用下的跨中弯矩值之和,本设计计算时混凝土的泊松比取0.2;最大负弯矩为当内支座固定时+作用下的支座弯矩。弯矩计算结果见表5-60。表5-58双向板弯矩计算系数计算项目板楼面屋面(m)3.63.6(m)5.75.7宽长比0.6320.632泊松比=0时查表得出四边固定0.03540.0354四边固定m20.00870.0087四边固定m1"-0.0777-0.0777四边固定m2"-0.0571-0.0571四边简支m10.07780.0778四边简支m20.02590.0259换算成泊松比=0.2四边固定m1v0.03710.0371四边固定m2v0.01580.0158四边固定m1"v-0.0891-0.0891四边固定m2"v-0.0726-0.0726四边简支m1v0.08300.0830四边简支m2v0.04150.0415
表5-59按弹性理论计算的弯矩值计算项目板楼面屋面1.2+1.47.5286.6381.2+1.4/26.1286.2881.4/21.40.353.63.65.75.7宽长比/0.6320.632四边固定计算系数m1v0.03710.0371四边固定计算系数m2v0.01580.0158四边固定计算系数m1"v-0.0891-0.0891四边固定计算系数m2"v-0.0726-0.0726四边简支计算系数m1v0.08300.0830四边简支计算系数m2v0.04150.0415方向的跨中弯矩M14.4523.400方向的跨中弯矩M22.0081.476方向的支座弯矩M1’-8.693-7.665方向的支座弯矩M2"-7.083-6.2463.楼板配筋板的截面有效高度:假定选用C10钢筋,板的保护层厚度为15mm,由于是双向配筋,两个方向的截面有效高度不同。考虑到短跨方向比长跨方向的弯矩值大,故将短跨方向的跨中受力钢筋放在外侧,长跨方向的受力钢筋放在内侧,因此板的截面有效高度为:方向跨中截面的=120-20=100mm,方向跨中截面的=90mm,支座截面的=100mm。截面设计用的弯矩:对于周边与梁整体连接的双向板,由于在两个方向受到支承构件的变形约束,板内存在穹顶作用,使板内弯矩大大减小,故对弯矩设计值按规范进行折减,跨中与支座弯矩减少20%。为了便于计算,近似取=0.95,于是有:根据此公式计算配筋量,截面配筋计算结果及实际配筋见表5-61。
表5-60楼板配筋计算表位置截面mm折减后计算配筋配筋实际配筋跨中楼面方向1004.4523.562124.98C10@200393方向902.0081.60662.61C10@200393屋面方向1003.4002.72095.44C10@200393方向901.4761.18146.04C10@200393支座楼面AA方向100-8.693-6.954244.00C10@200393AC方向100-7.083-5.666198.81C10@200393屋面AA方向100-7.665-6.132215.16C10@200393AC方向100-6.246-4.997175.33C10@2003935.9.3单向板的计算选取2.7m×7.2m的板按弹性理论进行设计。采用C35混凝土(=16.7N/mm,=1.57N/mm),板中钢筋采用HRB400级(==360N/mm)。1.荷载计算走廊楼面活荷载=2.5kN/m2,楼面恒荷载=3.94kN/m2;屋面活荷载=0.5kN/m2,屋面恒荷载=4.948kN/m2。荷载设计值计算见表5-62。表5-61荷载设计值计算板分类荷载板B2楼面屋面恒载3.944.948活载2.50.51.24.7285.9381.43.50.78.2286.6382.内力计算计算跨度:==2.7-0.3/2-0.25/2=2.425m弯矩设计值:
查弯矩计算系数表得:离端跨第二支座:-1/11离端跨第二跨中:1/16故:(5.32)(5.33)弯矩计算过程见表5-63。表5-62弯矩计算表项目楼面屋面(1.2倍)5.9384.728(1.4倍)0.73.5+6.6388.228=2.4252.425跨中弯矩2.443.02支座弯矩-3.55-4.403.楼板配筋板厚,,C35混凝土,,,采用HRB400钢筋,由式计算所需钢筋面积,计算过程见表5-64。实际配筋时,应根据内力确定配筋量,使实际配筋量与计算的配筋量尽量接近,但考虑到施工的方便,应尽可能少选钢筋品种、钢筋直径和钢筋间距。本例均选用C10@200,符合规范中的规定。表5-63板配筋计算表楼面屋面(kN·m)跨中支座跨中支座2.44-3.553.02-4.400.006030.008770.007460.01086ξ0.006040.008800.007490.0109267.9899.0584.20122.89配筋C10@200C10@200C10@200C10@200实际面积393393393393
5.10楼梯设计5.10.1设计资料本工程楼梯为现浇整体板式楼梯,层高均为3.9m,踏步尺寸150mm×300mm,采用混凝土强度等级C35,板采用HRB400级钢筋,梁采用HRB400级钢筋,楼梯上均布活荷载标准值=2.5kN/m2。楼梯平面布置如图5-29所示。图5-29楼梯简图5.10.2楼梯板设计1.计算简图图5-30楼梯板计算简图斜板厚度为斜板长度的1/30~1/25,即板厚=145mm~174.4mm,取板厚为150mm。板倾斜角的正切tgα=150/300=0.5,余弦cosα=0.894。取1m宽板带计算。
2.荷载计算梯段板的荷载计算列于表5-64。表5-64梯段板的荷载荷载种类荷载标准值(kN/m)恒载陶瓷砖面层(0.30+0.15)×0.7/0.30=1.05三角形踏步0.5×0.30×0.15×25/0.30=1.875斜板0.15×25/0.8942=4.692板底抹灰0.02×20/0.8942=0.500小计8.117活荷载2.5荷载分项系数,恒荷载:=1.2活荷载:=1.4基本组合的总荷载设计值=8.117×1.2+2.5×1.4=13.240kN/m3.截面设计板水平计算跨度=3.9m板的有效高度0=150-20=130mm弯矩设计值=2/10=13.240×3.92/10=20.139kN·m剪力设计值=/2=13.240×3.9/2=25.818kN<ξb=0.518选C10@100,实配面积785mm2,分布筋C8,每级踏步下一根。验算适用条件:%=0.23%%。
梯段板抗剪,因,满足抗剪要求,支座构造配筋C10@200。5.10.3平台板设计1.计算简图图5-31平台板计算简图设平台板厚=100mm,取1m宽板带计算,平台梁尺寸为200×400。按单向板计算,板的计算跨度为=1800-200/2=1700mm。2.荷载计算荷载计算见表5-65。表5-65平台板的荷载荷载种类荷载标准值(kN/m)恒载陶瓷砖面层0.7×1=0.7100厚混凝土板0.1×25=2.5板底抹灰0.02×20=0.4小计3.6活荷载2.5荷载分项系数=1.2=1.4基本组合的总荷载设计值=3.6×1.2+2.5×1.4=7.82kN/m3.截面设计弯矩设计值=2/10=7.82×1.72/10=2.26kN·m有效高度0=100-20=80mm
选C8@200,实配面积251mm2,分布筋C8@250。验算适用条件:%=0.245%%且在经济配筋范围内。5.10.4平台梁设计1.计算简图图5-32平台梁计算简图设平台梁截面=200m,=400mm,梁的计算跨=3600-200=3400mm。2.荷载计算表5-66平台梁的荷载荷载种类荷载标准值(kN/m)恒载梁自重0.2×0.4×25=2梁侧粉刷0.01×0.4×2×20=0.16平台板传来3.6×1.8/2=3.24梯段板传来8.117×3.6/2=14.611小计20.011活荷载2.5×(3.6/2+1.8/2)=6.75荷载分项系数=1.2=1.4基本组合的总荷载设计值=20.011×1.2+6.75×1.4=33.463kN/m3.截面设计
弯矩设计值=2/8=33.463×3.42/8=48.354kN·m剪力设计值=/2=33.463×3.4/2=56.887kN截面按倒L形计算,=+5=200+5×100=700mm梁的有效高度=400-35=365mm经计算属第一类T形截面。mm2选2C18,实有=509mm2验算适用条件:因为,满足要求。%=0.215%%在经济配筋范围内。斜截面受剪承载力计算:配置箍筋C8@200,则斜截面受剪承载力:=0.7×1.57×200×365+1.25×360×2×50.3×365/200=162.84kN>V=56.887kN满足要求。5.11基础设计5.11.1荷载计算
基础设计中基底面积计算时要用到标准值组合,而基础高度的抗冲切验算及基底配筋计算用到设计值组合。设计值组合已在内力组合表中给出,基顶作用效应非标准组合见表5-67,基顶作用效应抗震标准值组合见表5-68。表5-67基顶荷载的非抗震标准值组合表内力恒载活载左风右风恒+活+0.6风恒+风+0.7活1.35恒+1.4(0.7活+0.6风)左风右风左风右风左风右风AM49.4811.27-89.2989.297.176114.324-31.921146.6592.84152.85N-2059.68-657.3866.09-66.09-2677.41-2756.71-2453.76-2585.94-3369.28-3480.32V-30.61-6.9726.30-26.30-21.8-53.36-9.189-61.789-26.06-70.25CM90.55-9.10-90.9790.9726.868136.032-6.79175.15-586.77467.54N-3478.70-992.6319.40-19.40-4459.69-4482.97-4154.14-4192.94-4502.96-4569.60V27.395.6331.74-31.7452.06413.97663.071-0.409-144.58218.33DM-13.63-3.67-88.4388.43-70.35835.758-104.62972.231-96.2852.28N-1937.27-639.53-70.3370.33-2619-2534.6-2455.27-2314.61-3182.98-3301.13V8.432.2724.67-24.6725.502-4.10234.689-14.65134.33-7.125.11.2A轴基础设计采用柱下独立基础。基础顶部距室外地坪为0.5m,混凝土强度等级C35(=16.7N/mm,=1.57N/mm),钢筋等级为HRB400(==360N/mm)。根据室外地坪标高为-0.45m,基顶标高为-0.95m,选取粉质粘土作为持力层,取=170kPa。取基础高度800mm,分两个台阶,每阶400mm。杂填土层=17.2kN/m,粉质粘土=19.3kN/m。1.非抗震设计(1)基础尺寸及埋置深度1)基础埋置深度为=0.5+0.8=1.3m。采用100厚C15混凝土垫层,两边各延伸出100mm。2)按轴心受压基础初步确定基础底面尺寸==18.33kN/m2=170+1.6×18.33×(1.3-0.5)=193.46kPa取a=b=4.4m,A=19.36mm
需修正宽度=193.46+0.3×19.3×(4.4-3)=202.72kPa基础尺寸如图5-33所示。图5-33A轴基础简图3)计算基底压力第一组内力组合Mk=114.324kN·m;Nk=2756.714kN;Vk=53.36kN基础回填土重:Gk==20×1.3×4.4×4.4=550.16kN第二组内力组合
Mk=146.659kN·m;Nk=2585.94kN;Vk=-61.79kN则有:综合以上两种内力组合可知最大边界应力为4)持力层承载力验算均满足要求。(2)基础高度验算M=152.85kN·m;N=3480.32kN;V=70.25kN1)柱边截面抗冲切验算取因偏心受压:
满足冲切要求。2)变阶处截面满足冲切要求。(3)配筋计算Ⅰ-Ⅰ截面Ⅲ-Ⅲ截面,故按配筋。现于4.4m范围内配C12@120,As=942×4.4=4048mm2Ⅱ-Ⅱ截面
=F/(a×b)=4380.32/(4.4×4.4)=226.26kPaⅣ-Ⅳ截面,故按配筋。现于4.4m范围内配C14@120,As=1283×4.4=5645mm25.11.3C轴基础设计采用柱下独立基础。基础顶部距室外地坪为0.5m,混凝土强度等级C35(=16.7N/mm,=1.57N/mm),钢筋等级为HRB400(==360N/mm)。根据室外地坪标高为-0.45m,基顶标高为-0.95m,选取粉质粘土作为持力层,取=170kPa。取基础高度1000mm,分三个台阶,上两阶为300mm,第三阶为400mm。杂填土层=17.2kN/m,粉质粘土=19.3kN/m。1.非抗震设计(1)基础尺寸及埋置深度1)基础埋置深度为d=0.5+1.0=1.5m。采用100厚C15混凝土垫层,两边各延伸出100mm。2)按轴心受压基础初步确定基础底面尺寸==18.46kN/m2=170+1.6×18.46×(1.5-0.5)=199.54kPa≥1.1×=1.1×=25.28mm2取a=b=5.2m,A=27.04mm
需修正宽度=199.54+0.3×19.3×(5.2-3)=227.91kPa基础尺寸如图5-34所示。图5-34C轴基础简图3)计算基底压力内力标准组合Mk=126.88kN·m;Nk=3792.94kN;Vk=0.41kN基础回填土重:Gk==20×1.5×5.2×5.2=811.2kN4)持力层承载力验算
均满足要求。(2)基础高度验算M=124.57kN·m;N=5145.32kN;V=218.33kN1)柱边截面抗冲切验算取因偏心受压:满足冲切要求。2)第一个变阶处截面满足冲切要求。3)第二个变阶处截面
满足冲切要求。(3)配筋计算Ⅰ-Ⅰ截面Ⅲ-Ⅲ截面Ⅴ-Ⅴ截面
最大,故按配筋。现于5.2m范围内配C12@100,As=1131×5.2=5881.2mm2Ⅱ-Ⅱ截面=F/(a×b)=5145.32/(5.2×5.2)=190.29kPaⅣ-Ⅳ截面Ⅵ-Ⅵ截面最大,故按配筋。现于5.2m范围内配C12@100,As=5881.2mm25.11.4D轴基础设计采用柱下独立基础。基础顶部距室外地坪为0.5m,混凝土强度等级C35(=16.7N/mm,=1.57N/mm),钢筋等级为HRB400(==360N/mm)。根据室外地坪标高为-0.45m,基顶标高为-0.95m,选取粉质粘土作为持力层,取=170kPa。取基础高度800mm,分两个台阶,每阶400mm。杂填土层=17.2kN/m,粉质粘土=19.3kN/m。1.非抗震设计(1)基础尺寸及埋置深度1)基础埋置深度为d=0.5+0.8=1.3m。采用100厚C15混凝土垫层,两边各延伸出100mm。2)按轴心受压基础初步确定基础底面尺寸
==18.33kN/m2=170+1.6×18.33×(1.3-0.5)=193.46kPa≥1.1×=1.1×=17.10mm2取a=b=4.2m,A=17.64mm需修正宽度=193.46+0.3×19.3×(4.2-3)=200.41kPa基础尺寸如图5-35所示图5-35D轴基础简图3)计算基底压力第一组内力组合Mk=35.76kN·m;Nk=2534.60kN;Vk=4.10kN基础回填土重:Gk==20×1.3×4.2×4.2=458.64kN
第二组内力组合Mk=72.23kN·m;Nk=2314.61kN;Vk=14.65kN则综合以上两种内力组合可知最大边界应力为4)持力层承载力验算均满足要求。(2)基础高度验算M=96.28kN·m;N=3182.98kN;V=34.33kN1)柱边截面抗冲切验算取因偏心受压:
满足冲切要求。2)变阶处截面满足冲切要求。(3)配筋计算Ⅰ-Ⅰ截面Ⅲ-Ⅲ截面
,故按配筋。现于4.2m范围内配C12@120,As=942×4.2=3956mm2Ⅱ-Ⅱ截面=F/(a×b)=3182.98/(4.2×4.2)=180.44kPaⅣ-Ⅳ截面,故按配筋。现于4.2m范围内配C12@130,As=870×4.2=3654mm2
6技术经济分析本设计处于8度设防区,故整个方案非常注重抗震设计与验算。在建筑设计中,通过选择合理的建筑体型,满足平面与竖向的规则性;在结构设计中,对控制内力的选取及截面设计都考虑了地震作用的影响,均满足抗震规范。本设计考虑到建筑物的经济与使用功能要求的同时,为响应国家有关节约能源、保护环境的法律、法规和政策,考虑到冬冷夏热地区的建筑热环境,使采暖和空调的能源利用效率更高,在设计过程中对多个方面进行了考量。本建筑为办公楼建筑,从柱网布置来讲,由于本建筑为普通办公建筑,除部分空间有特殊需求外无需其他其他情况考虑。排除了不规则柱网,而选取了规则不等跨式柱网,不但便于施工,同时可根据公司自身需要采用轻质隔墙将部分空间隔成为所需要的平面布置,更加保证了建筑的灵活性。本建筑为南北朝向,同时选取了合理的体形系数,满足节能要求。在柱距选择上,经过反复比较,最终选取了7.2m的合理柱距,使梁的跨度在6~9m的经济跨度范围内,节约成本。在外墙选择上,经过多次修改方案后,将原来不规则形状变为一字型办公建筑,简约大方经济节能。在楼梯设计中,选取了下表面整齐,施工支模方便,外观也比较轻巧的板式楼梯;同时,考虑到板式楼梯梯段板较厚,混凝土用量和钢材用量较多的问题,设计时将梯段板的水平长度控制在4m内,满足经济要求。
7结论本设计为唐山市第三轧钢厂办公楼,结构类型为六层框架结构,建筑面积约6102平方米,建筑结构按八度设防设计。设计方案主要运用框架结构中典型横向框架的计算。在确定框架布局之后,首先进行层间荷载代表值的计算;然后计算水平荷载作用下框架的内力(弯矩、剪力、轴力);再计算竖向荷载(恒载、活载)作用下的结构内力;进而将框架内力惊醒组合,找出最不利的一组或机组内力组合,选取最安全的计算配筋并绘图。此外还进行了结构方案中楼盖和楼梯的设计。完成了楼板、屋面板、平台板、梯段板、平台梁等构件的内力和配筋计算及施工图绘制。在设计过程中,查阅了大量资料,同时用到了《混凝土结构设计》、《结构抗震设计》、《结构力学》、《房屋建筑学》、《基础工程》等课程的知识,熟练并运用的AutoCAD、天正和PK绘图软件。手算结构与结构设计软件PKPM所得到的计算结果作比较,一般手算结果一般偏小,其原因主要有以下几个方面:弯矩调整、楼层归并、钢筋归并、软件自身的安全计算考虑所进行的放大等等。最后本设计充分考虑到经济性的原则:1)柱网布置较为合理,梁在经济跨度之内;2)梁柱的截面尺寸选择比较经济;3)实际配筋量与计算配筋量相差不太大;4)采用外墙外保温,提高建筑的节能性;计算过程查阅并严格按照规范进行,尤其是混凝土规范和结构抗震设计规范,本设计均符合要求。
谢辞经过几个月的努力、纠结和辛酸,毕业答辩即将到来,毕业设计也慢慢接近尾声。在半年的毕业设计的日子里,有过散漫,有过懒惰,有过庆幸,有过欢乐,有过辛酸,有过纠结,有过焦头烂额,也有过大学四年从未有过的认真和努力。毕业实习期间一个师兄曾告诉过我,毕业设计无论对与理论知识还是以后的工作都起着举足轻重的作用,一定要认真对待独立完成。毕业设计即将结束之际,回想起他的话我觉得非常的正确,毕业设计的整个过程完成下来,使我对以前的分散理论知识系统的串联了起来,对整个设计的步骤也很明了。在这里我首先要感谢我的指导老师王喜强老师,虽然之前王老师并未教过我们班的课程,但也曾听讲过王老师的《混凝土结构设计原理》的课程,虽然王老师要求比较严格,但在我们结构设计的过程中总定时的认真指导我们的设计,不断地提醒我们新规范的改动之处,为我们分析难点。同学们遇到不懂得问题就会求助王老师,虽然我们常常挨批挨训但是心里却是非常敬重和钦佩他的。所以,我深深的感谢王老师半年来的指导。同时也非常感谢贾老师对我们建筑设计和绘图的指导,他的深厚理论知识以及和蔼与平易近人使得我们大家都很喜欢他,遇到不懂得问题就会询问他,还有就是马卫华老师、陈涛老师和郝婷玥老师对我的帮助,虽然他们并非我的指导老师,却同样样热心的为我们解答毕业设计过程中的疑难和困惑。最后我还要感谢我的同学对我的帮助。在我遇到问题时,他们耐心的给我讲解,在大家都困惑时同学之间的交流也给予了我很大的帮助,并给我提供了很多宝贵的意见,人们都说同学之间的友谊是最无私的,我对此深有感触,我亲爱的同学,谢谢你们!!
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