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'结构部分设计计算书一、楼板、框架梁、柱、剪力墙截面尺寸的初步估定1、楼板厚度h根据高规,建筑楼板为连续双向板,板厚应满足h≥(80mm,lx/50),lx为楼板短跨跨度,故取lx=7800mm,lx/50=7800/50=156mm,所以h≥(80mm,156mm),故取板厚为180mm,满足要求。2、框架梁截面高度hb与宽度bb主要承重梁应满足:hb=(1/10~1/18)lb,lb为主梁的计算跨度;且hb不宜大于1/4主粱净跨。lb可近似取为轴线间距,即lb=7800mm,则hb=(1/10~1/18)lb=(433~780)mm,取梁高为550mm。梁宽bb≥(hb/4,bc/2,200mm),bc为柱宽,bc=800mm,即bb≥(550/4,800/2,200mm)=(137.5mm,400mm,200mm),取梁宽为500mm满足要求。3、框架柱截面高度hc与宽度bc柱的截面尺寸一般根据轴压比限值按下列公式估算:N=βFn(1-1)Ac=N/[μN]fc(1-2)式中:N——柱组合的轴压力设计值;β——考虑地震作用组合后柱轴压力增大系数,边柱取1.3,不等跨内柱取1.25,等跨内柱取1.2;F——按简支状态计算的柱负载面积;——折算在单位建筑面积上的重力荷载代表值,框架-剪力墙结构可近似取12~14kN/m2;n——欲确定柱截面以上楼层的层数;Ac——欲确定柱截面的面积;[μN]——框架柱轴压比限值;一、二、三级抗震等级分别为0.75、0.85、0.95;
fc——混凝土轴心抗压强度设计值。柱边长,非抗震设计时不宜小于250mm,抗震设计时不宜小于300mm;圆柱截面直径不宜小于350mm;柱剪跨比宜大于2;柱截面高宽比不宜大于3。根据以上要求,算得:(1)地下室:F=7.8×7.8=60.84㎡,取14kN/㎡N=1.2×60.84×14×10=10221.12kNAc=10221.12/(0.75×21.1×103)=0.646m2,bc1==0.80m则柱边长bc取为800mm;(2)首层:F=7.8×7.8=60.84㎡,取14kN/㎡N=1.2×60.84×14×9=9199.008kNAc=9199.008/(0.75×21.1×103)=0.581m2,则取柱边长bc取为800mm;(3)二层:F=7.8×7.8=60.84㎡,取14kN/㎡N=1.2×60.84×14×8=8176.896kNAc=8176.896/(0.75×21.1×103)=0.516m2,则取柱边长bc取为800mm;(3)三层:F=7.8×7.8=60.84㎡,取14kN/㎡N=1.2×60.84×14×7=7154.784kNAc=7154.784/(0.75×21.1×103)=0.452m2,则取柱边长bc取为800mm;其它层柱截面尺寸如表1所示:
表1各层柱截面尺寸层数β1β2F(m2)gE(kN/m2)n[μN]fcN1(kN)N2(kN)Ac1(m2)Ac2(m2)bc1(m)bc2(m)bc(mm)-11.21.360.814100.7521.110221.1211072.880.650.700.800.8480011.21.360.81490.7521.19199.019965.590.580.630.760.7980021.21.360.81480.7521.18176.908858.300.520.560.720.7580031.21.360.81470.7521.17154.787751.020.450.490.670.7080041.21.360.81460.7516.76132.676643.730.490.530.700.7380051.21.360.81450.7516.75110.565536.440.410.440.640.6670061.21.360.81440.7516.74088.454429.150.330.350.570.5970071.21.360.81430.7516.73066.343321.860.240.270.490.5170081.21.360.81420.7516.72044.222214.580.160.180.400.4270091.21.360.81410.7516.71022.111107.290.080.090.290.30700101.21.360.81410.7516.71022.111107.290.080.090.290.307004、剪力墙布置、厚度bw、数量布置:参见有关参考文献要求厚度:一级抗震的带边框剪力墙:底部加强区:bw≥(H/16,200mm),H为层高;其它部位:bw≥(H/20,160mm),H为层高。柱网及剪力墙布置如图1所示图1结构布置图
根据以上要求则墙厚应为:底部加强区:bw≥(4200/16,200mm)=(262.5mm,200mm),取墙厚为300mm,部分为200mm;其它部位:bw≥(3900/20,160mm)=(195mm,160mm),取墙厚为300mm,部分为200mm。剪力墙数量:按层间弹性位移角限值确定。8度设防Ⅱ类场地可初步估计(Aw+Ac)/Af=4%~6%或Aw/Af=3%~4%式中,Aw为底层全部剪力墙截面面积,Ac为底层全部柱截面面积,Af为底层楼面面积。根据上式Ac=15.36m2,Aw=33.994m2,Af=1340.680m2,则(Aw+Ac)/Af=(33.994+15.36)/1340.680≈3.68%,基本上满足要求。5、计算简图、构件编号框架梁计算跨度:边跨:l0=ln+=7+=7.8m,图2框架计算简图l0=1.025ln+=1.025×7+=7.575m,取l0=7.575m;中间跨:l0=ln+b=7+0.8=7.8ml0=1.05ln=1.05×7=7.35m,取l0=7.35m。二、屋面板与楼面板设计1、楼面板荷载计算(1)楼面做法选用楼15D(88J1-X1),厚度50mm,荷载1.20kN/m2;卫生间楼面选用楼15F,装修一步到位,厚度127mm,荷载2.41kN/m2;顶棚选用棚2B,厚度5mm,荷载0.06kN/m2。(2)楼面均布恒荷载
楼面均布恒荷载=楼面做法自重+楼板自重+顶棚自重①普通板楼15D(大理石楼面)1.20kN/m2180厚现浇钢筋混凝土楼板0.180×25=4.50kN/m2棚2B0.06kN/m2楼面均布恒荷载标准值5.76kN/m2②卫生间楼板100厚加气混凝土砌块墙体5.5×0.1×7.45×3.9/(7.8×7.8)=0.26kN/m2楼15F(大理石楼面)2.41kN/m2180厚现浇钢筋混凝土楼板0.180×25=4.50kN/m2棚2B0.06kN/m2楼面均布恒荷载标准值7.23kN/m2③普通板上砌墙200厚加气混凝土砌块5.5×7.15×3.9×0.2×2/(7.8×7.8)=1.01kN/m2楼15D(大理石楼面)1.20kN/m2180厚现浇钢筋混凝土楼板0.180×25=4.50kN/m2棚2B0.06kN/m2楼面均布恒荷载标准值6.77kN/m2(3)楼面均布活荷载办公室2.0kN/m2会议室2.0kN/m2盥洗室2.0kN/m2走廊2.5kN/m2(4)楼面板荷载计算表2楼面板均布荷载项目荷载办公室kN/m2会议室kN/m2盥洗室kN/m2走廊kN/m2楼面恒荷载标准值5.765.767.236.77楼面活荷载标准值2222.5
2、楼面板设计(1)荷载组合荷载效应组合仅考虑由永久荷载控制的组合,即恒载分项系数为1.35,活载分项系数为1.0,荷载组合如表3所示。表3楼面荷载组合项目荷载办公室kN/m2会议室kN/m2盥洗室kN/m2走廊kN/m2楼面恒荷载标准值5.765.767.236.77楼面活荷载标准值2.02.02.02.51.35倍恒载7.787.789.769.14荷载组合g+q9.789.7811.7611.64g+q/28.788.7810.7610.64q/21.01.01.01.25(2)计算跨度中间跨:l0=lc=7.8m(lc为轴线间距离)且应满足l0≤1.1ln=1.1×7.3=8.03m,取l0=7.8m边跨:l0=ln+=7.45+=7.95m,且应满足l0≤ln+=7.45+=7.79m取l0=7.79m。板区格划分如图3所示图3楼面板区格划分
(3)弯矩计算在(即一半活载)作用下,各区格板四边均视作简支,故跨内最大弯矩发生在板的中心点处;但在作用下,各内支座均视作固支,而边支座视为简支,因此边区格板跨内最大弯矩不在板的中心点处,为了简单起见,可近似取二者之和作为跨内最大弯矩值。根据不同支撑情况,整个楼盖可以划分为A、B、C三种区格板,A1、C1仅与A、C跨度不同。各弯矩系数是由计算表格查得(详见《混凝土结构与砌体结构设计》中册,东南大学,同济大学,天津大学合编,中国建筑工业出版社,P392页,附表7.1-附表7.6)。计算中、表示结构纵向(结构长方向)的跨内正弯矩及支座负弯矩;、表示板横向(结构短方向)的跨内正弯矩及支座负弯矩。以A区格为例,将计算过程详述如下:lx/ly=7.79/7.8=1.0,在作用下为三边固支,一边简支板,而在作用下为四边简支板,分别查表计算如下:=0.0227()+0.0368·=0.0227×10.64×7.792+0.0368×1.25×7.792=17.45kN·m=0.0168()+0.0368·=0.0168×10.64×7.792+0.0368×1.25×7.792=12.57kN·m=+ν=16.20+0.2×12.57=18.71kN·m=+ν=12.57+0.2×16.20=15.81kN·m=-0.0600(g+q)=-0.0600×11.14×7.792=-40.56kN·m=-0.0550(g+q)=-0.0550×11.14×7.792=-37.18kN·m各区格板分别算得的弯矩值列于表4中。(4)配筋计算截面有效高度:支座截面有效高度取h0=160mm,跨中截面短跨方向取h0=160mm
,长跨方向取h0=150mm。为便于计算,近似取γs=0.95,则As=。钢筋采用HRB335级,截面配筋计算结果及实际配筋列于表5中。表4各区格板弯矩值(注:l单位为m,m单位为kN·m)项目AA1A2BCC1lx7.797.497.87.797.87.29ly7.807.87.797.797.597.8lx/ly或ly/lx1.000.961.001.000.970.93ν=0mx13.6412.2314.3317.5116.889.80my17.4517.3211.1817.5111.2217.94ν=0.2 17.1315.6916.5621.0119.1213.38 20.1819.7714.0521.0114.5919.90 -38.85-40.81-35.61-48.44-40.96 -42.38-36.31-32.64-48.44 -41.85表5按弹性理论设计的截面配筋截面m/(kN·m/m)h0/mmAs/(mm2)选配实际配筋跨中A区格lx17.1315040110@150524ly20.1816044310@150524A1区格lx15.6915036710@150524ly19.7716043410@150524A2区格lx16.5616036310@150524ly14.0515032910@150524B区格lx21.0115049110@150524ly21.0116046110@150524C区格lx19.1216041910@150524ly14.5915034110@150524C1区格lx13.3815031310@150524ly19.9016043610@150524支座A-A1-40.8116089512@1001131A-B-48.44160106212@1001131A-C-40.9616089812@1001131
A1-A2-36.3116079612@1001131A2-B-48.44160106212@1001131A2-C-40.9616089812@1001131A-C1-42.3816092912@1001131最小配筋率取0.2%和0.45中的较大值,即取,则mm屋面板计算与上述方法相同,仅荷载不同,故将计算结果直接列于表6及表7中。屋面恒荷载标准值屋3(彩色水泥砖面层屋面)2.59kN/m2180厚现浇钢筋混凝土楼板0.180×25=4.50kN/m2棚2B0.06kN/m2屋面均布恒荷载标准值7.15kN/m2屋面均布活荷载标准值2.0kN/m2由永久荷载控制的组合恒荷载设计值1.35×7.15=9.65kN/m2活荷载设计值1.0×2.0=2.0kN/m2荷载组合g+q=11.65kN/m2=10.65kN/m2=1.0kN/m2表6屋面板弯矩值(注:l单位为m,m单位为kN·m)项目AA1A2BCC1lx7.797.497.87.797.87.29ly7.807.87.797.797.597.8lx/ly或ly/lx1.000.961.001.000.970.93ν=0mx13.0911.7316.9017.3620.0210.25my16.9016.7713.0917.3613.1219.75ν=0.2 16.4715.0819.5220.8322.6514.21
19.5219.1216.4720.8317.1321.80 -38.88-40.85-42.42-47.86-48.79 -42.42-36.34-38.88-47.86 -47.43表7按弹性理论计算的屋面板配筋截面m/(kN·m/m)h0/mmAs/(mm2)选配实际配筋(mm2)跨中A区格lx16.4715038510@150524ly19.5216042810@150524A1区格lx15.0815035310@150524ly19.1216041910@150524A2区格lx19.5216042810@150524ly16.4715038510@150524B区格lx20.8315048710@150524ly20.8316045710@150524C区格lx22.6516049710@150524ly17.1315040110@150524C1区格lx14.2115033210@150524ly21.816047810@150524支座A-A1-40.8516089612@1001131A-B-47.86160105012@1001131A-C-48.79160107012@1001131A1-A2-38.8816085312@1001131A2-B-47.86160105012@1001131A2-C-48.79160107012@1001131A-C1-47.43160104012@1001131三、荷载计算1、单位面积墙体荷载(kN/m2)(1)外围护墙外围护墙采用加气混凝土砌块,外墙面干挂磨光花岗石板(0.7kN/m2),内墙面为20mm厚抹灰,则外墙单位墙面重力荷载为:0.7+5.5×0.3+17×0.02=2.69kN/m2
玻璃幕墙单位面积荷载为1.5kN/m2(2)内隔墙200厚内隔墙采用加气混凝土砌块,两侧均为20厚抹灰,则内隔墙单位面积荷载为:5.5×0.3+17×0.02×2=2.33kN/m2100厚加气混凝土砌块隔墙,两侧均为20mm厚抹灰,则其单位面积重力荷载为:5.5×0.1+17×0.02×2=1.23kN/m2(3)女儿墙为240厚加气混凝土砌块,外墙面干挂磨光花岗石板(0.7kN/m2),内墙面为20mm厚抹灰,则女儿墙单位墙面重力荷载为:0.7+5.5×0.24+17×0.02=2.36kN/m2(4)剪力墙为300厚现浇钢筋混凝土结构,两面均为20mm厚抹灰,则剪力墙单位面积重力荷载为:25×0.3+17×0.02×2=8.18kN/m2200厚剪力墙,两面均为20mm厚抹灰,单位面积荷载为:25×0.2+17×0.02×2=5.68kN/m22、单位长度梁、柱荷载(kN/m)(1)梁梁自重+梁侧面层做法自重(梁截面高度取减去板厚的梁净高)梁高550mm,梁宽500mm,三面均为20厚抹灰,但计算板的时候,梁板接触面已经计算了抹灰,恰将梁底的抹灰抵消,故仅算两面,则梁单位长度荷载为25×0.5×(0.55-0.18)+17×0.02×(0.55-0.18)×2=4.877kN/m(2)柱柱自重+柱周面层做法自重800mm×800mm柱,四面均为20mm厚抹灰,则其沿高度方向的单位长度荷载为25×0.82+17×4×0.02×0.8=17.088kN/m700mm×700mm柱,四面均为20mm厚抹灰,则其沿高度方向的单位长度荷载为25×0.72+17×4×0.02×0.7=13.202kN/m(3)门窗洞口面积及自重2-10层外墙窗洞口面积1.5×2.4×7+2.1×2.4×5+1.8×2.4×4=67.68m2
1层外墙窗洞口面积1.5×2.4×10+2.1×2.4×12=100.08m21层外墙门洞口面积1.5×2.4×4+1.02.4=16.8m22-10内墙门洞口面积1.0×2.4×6+1.2×2.4×10+1.5×2.4×2=50.4m21层内墙门洞口面积1.0×2.4×15+1.2×2.4×8+1.5×2.4=62.64m21-10层剪力墙门洞口面积0.8×2.4×4+1.2×2.4×2+1.2×2.1×4+1.5×2.4×4=37.92m2木框玻璃窗单位面积自重0.2kN/m2,断桥铝合金窗0.4kN/m2,普通木门及玻璃门均为0.2kN/m23、楼层重力荷载代表值GE=Gk+ΣΨjQkj(1)顶层重力荷载代表值GEn女儿墙自重=单位长度重总长度=2.36×158×1.2=447.46kN屋面恒载=单位面积重总轴线面积=7.15×1316.89=9415.76kN梁自重=单位长度重×总净长=4.877×44×7.1=1523.57kN半层高柱自重=单位长度重×总轴线长度/2=13.202×(3.9-0.18)/2×24=589.34kN半层高砌体外墙自重=单位面积重×总净面积/2=2.69×[8×7.1×(3.9-0.55)-67.68]/2=164.90kN半层高玻璃幕墙自重=1.5×12×7.1×(3.9-0.55)/2=214.07kN半层高内墙自重=单位面积重×总净面积/2=2.33×[135.4×(3.9-0.55)-45.6]/2+1.23×[33.9×(3.9-0.55)-9.6]/2=539.25kN半层高剪力墙自重=单位面积重×总净面积/2=8.18×[8.2×8×(3.9-0.18)-1.5×2.4×4]/2+5.68×[52.5×(3.9-0.18)-23.52]/2
=1427.05kN半层门窗自重=单位面积重×总门窗洞口面积/2=(0.4×59.04+0.2×55.20+0.2×37.92)/2=21.12kN屋面活荷载(雪载)=单位面积重×总轴线面积=2.0×1316.89=2633.78kNGEn=Gkn+0.5QknGEn=447.46+9415.76+1523.57+589.34+176.52+214.07+539.25+1427.05+21.12+0.5×2633.78=15671.03kN(2)6至10层重力荷载代表值GEi楼面恒载5.76×(1316.89-7.82×2)+7.23×7.82×2=7764.16kN梁自重4.877×44×7.1=1523.57kN上下各半层柱自重13.202×(3.9-0.18)×24=1178.67kN上下各半层砌体外墙自重2.69×[8×7.1×(3.9-0.55)-59.04]=353.04kN上下各半层玻璃幕墙自重1.5×12×7.1×(3.9-0.55)=428.13kN上下各半层内墙自重2.33×[141.6×(3.9-0.55)-45.6]+1.23×[33.9×(3.9-0.55)-9.6]=1126.89kN上下各半层剪力墙自重8.18×[8.2×8×(3.9-0.18)-1.5×2.4×4]+5.68×[52.5×(3.9-0.18)-23.52]=2854.10kN上下各半层门窗自重0.4×59.04+0.2×55.20+0.2×37.92=42.24kN楼面活载标准值2.0×1316.89=2633.78kNGEi=Gki+0.5Qki(i=6,7,8,9,10)GEi=7764.16+1523.57+1178.67+353.04+428.13+1126.89+2854.10+42.24+0.5×2633.78=16587.69kN(3)5层重力荷载代表值楼面恒载5.76×(1316.89-7.82×2)+7.23×7.82×2=7764.16kN梁自重4.877×44×7.0=1502.12kN上半层柱自重13.202×(3.9-0.18)/2×24=589.34kN
下半层柱自重17.088×(3.9-0.18)/2×24=762.81kN上下各半层砌体外墙自重2.69×[8×7.1×(3.9-0.55)-59.04]=353.04kN上半层高玻璃幕墙自重1.5×12×7.1×(3.9-0.55)/2=214.07kN下半层高玻璃幕墙自重1.5×9×7×(3.9-0.55)/2=158.29kN上半层高内墙自重2.33×[141.6×(3.9-0.55)-45.6]/2+1.23×[33.9×(3.9-0.55)-9.6]/2=563.44kN下半层内墙自重2.33×[173.1×(3.9-0.55)-48.36]/2+1.23×[45.5×(3.9-0.55)-12.6]/2=705.22kN上下各半层剪力墙自重8.18×[8.2×8×(3.9-0.18)-1.5×2.4×4]+5.68×[52.5×(3.9-0.18)-23.52]=2854.10kN上下各半层门窗自重[(0.4×59.04+0.2×55.20+0.2×37.92)+(0.4×59.04+0.2×60.96+0.2×37.92)]/2=42.82kN楼面活载标准值2.0×1316.89=2633.78kNGEi=Gki+0.5Qki(i=5)GEi=7764.16+1502.12+589.34+762.81+353.04+214.07+158.29+563.44+705.22+2854.10+42.82+0.5×2633.78=16826.30kN(4)4层重力荷载代表值楼面恒载5.76×(1316.89-7.82×2)+7.23×7.82×2=7764.16kN梁自重4.877×44×7.0=1502.12kN上下各半层柱自重17.088×(3.9-0.18)×24=1525.62kN上下各半层砌体外墙自重2.69×[8×7×(3.9-0.55)-59.04]=345.83kN上下各半层玻璃幕墙自重1.5×9×7×(3.9-0.55)=316.58kN上下各半层内墙自重2.33×[172.7×(3.9-0.55)-48.36]+1.23×[45.5×(3.9-0.55)-12.6]=1407.32kN上下各半层剪力墙自重8.18×[8.2×8×(3.9-0.18)-1.5×2.4×4]+5.68×[52.5×(3.9-0.18)-23.52]=2854.10kN上下各半层门窗自重0.4×59.04+0.2×60.96+0.2×37.92=43.39kN楼面活载标准值2.0×1316.89=2633.78kN
GEi=Gki+0.5Qki(i=4)GEi=7764.16+1502.12+1525.62+345.83+316.58+1407.32+2854.10+0.5×2633.78=17032.62kN(5)3层重力荷载代表值楼面恒载5.76×(1316.89-7.82×2)+7.23×7.82×2=7764.16kN梁自重4.877×44×7.0=1502.12kN上下各半层柱自重17.088×(3.9-0.18)×24=1525.62kN上半层砌体外墙自重2.69×[8×7×(3.9-0.55)-59.04]/2=172.91kN下半层砌体外墙自重2.69×[8×7×(3.9-0.55)-69.84]/2=158.39kN上半层玻璃幕墙自重1.5×9×7×(3.9-0.55)/2=158.29kN下半层玻璃幕墙自重1.5×5×7×(3.9-0.55)/2=87.94kN上半层内墙自重2.33×[172.7×(3.9-0.55)-48.36]/2+1.23×[45.5×(3.9-0.55)-12.6]/2=703.66kN下半层内墙自重2.33×[159.55×(3.9-0.55)-38.88]/2+1.23×[24.85×(3.9-0.55)-9.6]/2=622.68kN上半层剪力墙自重8.18×[8.2×8×(3.9-0.18)-1.5×2.4×4]/2+5.68×[52.5×(3.9-0.18)-23.52]/2=1427.05kN下半层剪力墙自重8.18×[8.2×8×(3.9-0.18)-1.5×2.4×4]/2+8.18×[21.6×(3.9-0.18)-1.2×2.4×2]/2+5.68×[30×(3.9-0.18)-17.76]/2=1510.78kN上半层门窗自重(0.4×59.04+0.2×60.96+0.2×37.92)/2=21.70kN下半层门窗自重(0.4×69.84+0.2×48.48+0.2×37.92)/2=22.61kN楼面活载标准值2.0×1316.89=2633.78KNGEi=Gki+0.5Qki(i=3)GEi=7764.16+1502.12+1525.62+172.91+158.39+158.29+87.94+703.66+622.68+1427.05+1510.78+21.70+22.61+0.5×2633.78=16994.8kN(6)2层重力荷载代表值楼面恒载5.76×(1316.89-7.82)+7.23×7.82=7675.18kN
梁自重4.877×44×7.0=1502.12kN上下各半层柱自重17.088×(3.9-0.18)×24/2+17.088×(4.2-0.18)×24/2=1587.13kN上下各半层砌体外墙自重2.69×[8×7×(3.9-0.55)-69.84]/2+2.69×[8×7×(4.2-0.55)-61.20]/2=350.99kN上下各半层玻璃幕墙自重[1.5×5×7×(3.9-0.55)+1.5×5×7×(4.2-0.55)]/2=183.75kN上下各半层内墙自重2.33×[159.55×(3.9-0.55)-38.88]+1.23×[24.85×(4.2-0.55)-9.6]=1254.53kN上下各半层剪力墙自重8.18×[8.2×8×(3.9-0.18+4.2-0.18)/2-1.5×2.4×4]+8.18×[21.6×(3.9-0.18+4.2-0.18)/2-1.2×2.4×2]+5.68×[30×(3.9-0.18+4.2-0.18)/2-17.76]=3154.12kN上下各半层门窗自重0.4×69.84+0.2×48.48+0.2×37.92=45.22kN楼面活载标准值2.0×1316.89=2633.78kNGEi=Gki+0.5Qki(i=2)GEi=7675.18+1502.12+1587.13+350.99+183.75+1254.53+3154.12+45.22+0.5×2633.78=17069.93KN(7)首层重力荷载代表值楼面恒载5.76×(1316.89-7.82)+7.23×7.82=7675.18kN梁自重4.877×44×7.0=1502.12kN上下各半层柱自重17.088×(4.2-0.18)×24×1.5=2472.98kN上半层砌体外墙自重2.69×[8×7×(4.2-0.55)-61.20]/2=192.60kN下半层外墙自重8.18×13×7×(4.2-0.55)=388.14kN上半层玻璃幕墙自重1.5×5×7×(4.2-0.55)/2=95.81kN上半层内墙自重2.33×[159.55×(4.2-0.55)-38.88]/2+1.23×[24.85×(4.2-0.55)-9.6]/2=683.03kN下半层内墙自重2.33×[129.75×(4.2-0.55)-32.16]+1.23×[11.50×(4.2-0.55)-4.8]=1074.25kN上下各半层剪力墙自重8.18×[8.2×8×(4.2-0.18)-1.5×2.4×4]×1.5+8.18×[21.6×
(4.2-0.18)-1.2×2.4×2]×1.5+5.68×[30×(4.2-0.18)-17.76]×1.5=4390.01kN上半层门窗自重(0.4×69.84+0.2×48.48+0.2×37.92)/2=22.61kN下半层门窗自重(0.2×36.96+0.2×37.92)=14.98kN楼面活载标准值2.0×1316.89=2633.78kNGEi=Gki+0.5Qki(i=1)GEi=7675.18+1502.12+2472.98+192.60+388.14+95.81+683.03+1074.25+4390.01+22.61+14.98+0.5×2633.78=19828.6kN四、横向框架、剪力墙刚度计算1、框架刚度计算梁的混凝土强度等级:C35柱的混凝土强度等级:地下一层至四层采用C45,五层及以上用C35(1)梁的线刚度现浇楼盖梁的惯性矩Ib边框架Ib=1.5I0中框架Ib=2.0I0梁的矩形截面惯性矩I0I0=bb/12,其中bb、hb为梁的矩形截面宽度与高度梁的线刚度ibib=EbIb/l,其中l为梁的计算跨度根据以上计算式,可得I0=bb/12=0.5×0.553/12=6.93×10-3m4边框架Ib=1.5I0=1.5×6.93×10-3=10.40×10-3m4中框架Ib=2.0I0=2.0×6.93×10-3=13.86×10-3m4边框架梁的线刚度ib=EbIb/l=3.15×1010×10.40×10-3/7.575=4.32×107N·m中框架梁的线刚度ib=EbIb/l=3.15×1010×13.86×10-3/7.35=5.94×107N·m(2)柱的线刚度柱的惯性矩IcIc=bc/12,其中bc、hc为柱截面的宽度与高度柱的线刚度icic=EcIc/h,其中h为柱的计算高度700mm×700mm柱惯性矩Ic=bc/12=0.7×0.73/12=0.02m4800mm×800mm柱惯性矩Ic=bc/12=0.8×0.83/12=0.034m4
700mm×700mm柱线刚度ic=EcIc/h=3.35×1010×0.02/(1.25×3.9)=1.37×108N·m2-4层800mm×800mm柱ic=EcIc/h=3.35×1010×0.034/(1.25×3.9)=2.34×108N·m1层800mm×800mm柱ic=EcIc/h=3.35×1010×0.034/(1.25×4.2)=2.17×108N·m-1层800mm×800mm柱ic=EcIc/h=3.35×1010×0.034/4.2=2.71×108N·m(3)柱的侧移刚度D值柱侧移刚度D=(1-3)一般层刚度系数(1-4)底层刚度系数(1-5)根据以上公式,求得其刚度修正系数的计算如表8表8刚度修正系数计算公式框架类型楼层柱边柱梁i中柱梁iKαic(×108N·m)i1(×107N·m)i2(×107N·m)i1(×107N·m)i2(×107N·m)i3(×107N·m)i4(×107N·m)边柱中柱边柱中柱边框架5-101.374.324.324.324.324.324.320.320.630.140.242-42.344.324.324.324.324.324.320.180.370.080.1612.174.324.324.324.324.324.320.200.400.090.17-12.714.32 4.324.32 0.080.160.280.31中框架5-101.375.945.945.945.945.945.940.430.870.180.302-42.345.945.945.945.945.945.940.250.510.110.2012.175.945.945.945.945.945.940.270.550.120.21-12.715.94 5.945.94 0.110.220.290.32由上表及公式可得柱的侧移刚度,将其列于表9中表9各柱侧移刚度框架类型楼层柱αh(m)D(×108N/m)ic(×108N·m)边柱中柱边柱中柱边框架5-101.370.140.244.8750.090.172-42.340.080.164.8750.100.18
12.170.090.175.250.090.16-12.710.280.314.200.510.56中框架5-101.370.180.304.8750.120.212-42.340.110.204.8750.130.2412.170.120.215.250.110.20-12.710.290.324.200.530.60(4)框架抗推刚度Cf值i层的抗推刚度(1-6)由以上公式计算,将结果列于表10中表10抗推刚度Cf层数层高m刚度D(×108N/m)抗推刚度Cf(×108N)边框架中框架边柱中柱边柱中柱-14.20.510.560.530.6054.7714.20.090.160.110.2013.1023.90.100.180.130.2414.2033.90.100.180.130.2414.2043.90.100.180.130.2414.2053.90.090.170.120.2112.9563.90.090.170.120.2112.9573.90.090.170.120.2112.9583.90.090.170.120.2112.9593.90.090.170.120.2112.95103.90.090.170.120.2112.95框架的抗侧推刚度(1-7)由上式得=N2、剪力墙刚度的计算剪力墙混凝土强度等级:地下一层及首层混凝土等级为C40,其它层为C35剪力墙布置如图4所示(1)整体墙
判别条件:孔洞面积/墙面面积≤0.16,且孔洞净距及孔洞边至墙边的距离大于孔洞长边尺寸,则其等效刚度由下式表示(1-8)式中,——混凝土弹性模量,H——剪力墙总高,——截面剪应力分布不均匀系数,Aw、Iw——分别为无洞口剪力墙的截面面积及惯性矩,对有洞口的整体墙(1-9式中,A——墙截面毛面积,Af——墙面总面积,Aop——墙面洞口面积,Iwi——剪力墙有洞口截面和无洞口截面的惯性矩,hi——剪力墙有洞口截面和无洞口截面相应各段的高度。(2)整体小开口墙判别条件:≥10,且In/I≤Z等效刚度:(1-10)式中,I——组合截面惯性矩,A——墙肢截面面积之和,。由以上公式,判别剪力墙的类型,可得,
②①图4剪力墙布置取W-1墙体,孔洞面积为=m2,墙面面积为2—10层=(8.4+1.0+0.2+0.9+1.5)3.9-3.6=43.20m2-1层和1层=(8.4+1.0+0.2+1.52)4.2-3.6=49.32m2则孔洞面积/墙面面积3.6/39.490.09≤0.16,且孔洞边至墙边的距离大于孔洞长边尺寸,满足整体墙的要求。2~10层=m2计算剪力墙的内力和位移时,可以考虑纵、横墙的共同作用。纵墙(横墙)的一部分可以作为横墙(纵墙)的有效翼墙;翼墙的有效长度,每侧有墙面算起,可取翼缘厚度的6倍、相邻剪力墙净距的一半、至门窗洞口的墙长度及剪力墙总高度的1/20这四者的最小值。根据以上判断条件,可得m,m,m,三者之中取小值,即=1.8m,其它同理取值分别为1.2m、0.5m、1.3m。y1=6.85m,y2=1.90m,
=3.92m-1~1层=m2y1=6.85m,y2=1.90m,m,m,m,三者之中取小值,即=1.8m,其它同理取值分别为1.8m、0.5m、1.3m。m按上述计算等效刚度时,式中Ec、Aw、Iw、应沿房屋高度取加权平均值。-1至1层墙混凝土等级为C40,2至10层墙混凝土等级为C35,故得N/m2m2m4N·m2
其它剪力墙算法与上相同,不再赘述,列于表11中(3)平均等效抗弯刚度N·m23、结构刚度特征值铰结体系表11剪力墙刚度五、水平地震作用计算1、结构基本自振周期(1)顶点位移法(1-11)——非承重墙对T1的影响系数,框架—剪力墙
=0.7~0.8(非承重墙较少时,可取0.8~0.9),——结构顶点假想位移,即把集中在各层楼面处的重力荷载代表值Gi作为水平荷载,按弹性刚度计算得到的结构顶点位移,以m为单位。=(1-12)(1-13)(1-14)式中,、分别为均布荷载和顶点集中荷载作用下框架—剪力墙结构的顶点位移;为均布荷载,,其中为集中在各层楼面处的重力荷载代表值;(1-15)kN/mm8.18×[8.2×8×(3.6-0.18)-1.5×2.4×4]×2+5.68×[52.5×(3.6-0.18)-23.52]×2+(5.5×0.24+17×0.02)×0.9×8.2×2+7.15×67.24×2=6193.35kN=kN=m==0.434+0.04=0.474m=s(2)经验公式法(1-16)
式中,H——建筑物总高度;B——建筑物总宽度;n——建筑物层数。则s结构基本自振周期取上述结果的平均值,即s2、地震作用的计算按底部剪力法计算(1)底部剪力钢筋混凝土结构阻尼比一般为0.05,此时设防烈度8度,设计基本地震加速度为0.2g,;设计地震分组为第一组、Ⅱ类场地,s。,kN(2)各层地震作用(1-17)(1-18)式中,为顶点附加地震作用系数,查表确定。计算简图如图6所示,现以一层为例,计算过程如下
,故根据以上结果,可得各层地震作用,将其列于表12中(3)楼层剪力(1-19)注:应加入主体结构的顶层。图5地震作用计算简图层数Gi(kN)Hi(m)FEk(kN)δn Fi(kN)119828.64.212197.380.1164368973.16205.53217069.934.212197.380.1164368973.16353.88316994.83.912197.380.1164368973.16515.89417032.623.912197.380.1164368973.16680.98516826.33.912197.380.1164368973.16834.69616587.693.912197.380.1164368973.16982.51716587.693.912197.380.1164368973.161142.17816587.693.912197.380.1164368973.161301.82916587.693.912197.380.1164368973.161461.481016587.693.912197.380.1164368973.161621.14屋顶15671.033.912197.380.1164368973.161682.39表12各层地震作用《高层建筑设计规范》规定:计算出的水平地震剪力标准值应符合下列要求≥(1-20)式中,为水平地震剪力系数,对于基本周期小于3.5s的结构,当设防烈度8度,设计基本地震加速度为0.2g时,=0.032;为第j层的重力荷载代表值。楼层剪力按上式计算,为便于计算,将其列于表13中表13楼层剪力
层数Fj(kN)Vi(kN)Di(N)λ(kN)顶层1682.393575.0415671.030.032501.47101621.145196.1816587.690.0321032.2891461.486657.6616587.690.0321563.0981301.827959.4916587.690.0322093.8971142.179101.6516587.690.0322624.706982.5110084.1616587.690.0323155.505834.6910918.8516826.300.0323693.944680.9811599.8317032.620.0324238.993515.8912115.7316994.800.0324782.822353.8812469.6017069.930.0325329.061205.5312675.1319828.600.0325963.583、变形验算按底部总弯矩相等原则,将各层的水平地震作用等效为倒三角形分布荷载4、总框架、总剪力墙内力倒三角形分布下结构内力和侧移公式为(1-21)(1-22)(1-23)(1-24)根据以上计算公式,将其结果列于表14中表14水平荷载作用下的内力及侧移
层数Hi(m)Hi/Hλshλchλshλξchλξy(m)Mw(kN·m)Vw(kN)Vf(kN)顶面43.511.0181.201.561.201.560.0380.00E+00-1.96E+031962.311039.60.911.0181.201.561.071.460.0343.87E+03-5.20E+011967.77935.70.821.0181.201.560.941.370.0296.40E+021.68E+031973.79831.80.731.0181.201.560.811.290.025-9.01E+033.24E+031965.93727.90.641.0181.201.560.701.220.020-2.44E+044.65E+031931.17624.00.551.0181.201.560.591.160.016-4.51E+045.92E+031857.73520.10.461.0181.201.560.491.110.012-7.05E+047.06E+031735.03416.20.371.0181.201.560.391.070.008-1.00E+058.08E+031553.55312.30.281.0181.201.560.291.040.005-1.33E+058.99E+031304.8228.40.191.0181.201.560.201.020.003-1.70E+059.79E+03981.2714.20.101.0181.201.560.101.000.001-2.13E+051.05E+04541.52000.001.0181.201.560.001.000.000-2.58E+051.12E+040.005、总框架、总剪力墙的各层内力(剪力、弯矩)、层间位移图图6总剪力墙内力
图7总框架剪力及层位移图六、水平地震作用下的框架内力计算1、框架各层总剪力调整方法(1)≥0.2,不必调整<0.2,取1.5与0.2中的较小值;为各层框架总剪力中的最大值。(2)屋面突出部分也采用框架—剪力墙时,该层剪力取计算值的1.5倍。(3)按振型分解反应谱法计算时,应对振型组合之后的剪力进行调整。(4)各层框架总剪力调整后,按调整前后比例调整柱和梁的剪力预端部弯矩,柱轴力不调整。1.5kN如表14所示,均小于0.2,故均需调整,即每层kN
2、框架柱剪力及弯矩计算取如图2所示计算简图,采用D值法计算框架内力,其中抗侧刚度D值的单位为108N/m,柱中点剪力可取柱两端剪力之和的一半,柱节点处的剪力如表15所示。表15框架柱中点剪力(D的单位为×108N/m)层数边框架中框架ΣD边框架调整前中框架调整前边框架调整后中框架调整后边柱D中柱D边柱D中柱D每根边柱剪力(kN)每根中柱剪力(kN)每根边柱剪力(kN)每根中柱剪力(kN)每根边柱剪力(kN)每根中柱剪力(kN)每根边柱剪力(kN)每根中柱剪力(kN)100.090.170.120.213.3253.20100.4870.93124.1260.72114.7080.96141.6990.090.170.120.213.3253.34100.7671.12124.4760.72114.7080.96141.6980.090.170.120.213.3253.51101.0771.34124.8560.72114.7080.96141.6970.090.170.120.213.3253.29100.6771.06124.3560.72114.7080.96141.6960.090.170.120.213.3252.3598.8969.80122.1560.72114.7080.96141.6950.090.170.120.213.3250.3695.1267.15117.5160.72114.7080.96141.6940.100.180.130.243.6447.6785.8061.97114.4061.54110.7780.00147.6930.100.180.130.243.6442.6876.8255.48102.4361.54110.7780.00147.6920.100.180.130.243.6435.8564.5246.6086.0361.54110.7780.00147.6910.090.160.110.203.1228.3150.3234.6062.9064.62114.8778.97143.59-10.510.560.530.6013.0421.1823.2622.0124.9287.6196.2091.04103.0700.510.560.530.6013.040.000.000.000.0087.6196.2091.04103.07调整后柱中点剪力及柱端弯矩如表16所示表16柱中点剪力及柱端弯矩层数边框架调整后中框架调整后边框架调整后中框架调整后每根边柱柱中剪力(kN)每根中柱柱中剪力(kN)每根边柱柱中剪力(kN)每根中柱柱中剪力(kN)每根边柱柱端弯矩(kN·m)每根中柱柱端弯矩(kN·m)每根边柱柱端弯矩(kN·m)每根中柱柱端弯矩(kN·m)1060.72114.7080.96141.69118.41223.66157.88276.29960.72114.7080.96141.69118.41223.66157.88276.29860.72114.7080.96141.69118.41223.66157.88276.29760.72114.7080.96141.69118.41223.66157.88276.29660.72114.7080.96141.69118.41223.66157.88276.29561.13112.7380.48144.69119.20219.83156.94282.14461.54110.7780.00147.69120.00216.00156.00288.00361.54110.7780.00147.69120.00216.00156.00288.00263.08112.8279.49145.64123.00220.00155.00284.00176.11105.5385.01123.33159.83221.62178.52258.99-187.6196.2091.04103.07122.65134.67127.46144.29245.30269.35254.92288.59
图8边跨梁弯矩计算简图3、框架梁端弯矩、剪力及柱轴力框架梁端弯矩根据梁柱节点弯矩平衡计算,其计算简图如图8及图9所示,边跨:(1-25)中间跨:由于梁的端弯矩与梁的线刚度成正比,因此(1-26)(1-27)图9中间跨梁弯矩计算简图层数边框架调整后中框架调整后每根边梁梁端弯矩(kN·m)每根中梁梁端弯矩(kN·m)每根边梁梁端弯矩(kN·m)每根中梁梁端弯矩(kN·m)10118.41111.83157.88138.149236.82223.66315.76276.298236.82223.66315.76276.297236.82223.66315.76276.296236.82223.66315.76276.295237.61221.75314.82279.224239.20217.92312.94285.073240.00216.00312.00288.002243.00218.00311.00286.001282.83220.81333.52271.50-1282.48178.15305.98201.64图10柱轴力计算示意图表17各层梁梁端弯矩
框架梁端剪力按下式计算(1-28)其中、分别为梁左、右两端的弯矩。其结果列于表18中。由于柱轴力不进行调整,故计算柱轴力时要用调整前的梁端弯矩,柱轴力根据梁端剪力计算,其结果见表19。经过上述计算,可绘出框架在地震作用下的内力图,如图11所示,(a)图为边框架弯矩图,(b)图为边框架剪力图,(c)图为边框架柱轴力图七、竖向荷载作用下框架内力计算取②轴框架进行计算,计算过程如下1、恒荷载的计算表18框架梁端剪力层数边框架调整后中框架调整后每根边梁梁端剪力(kN)每根中梁梁端剪力(kN)每根边梁梁端剪力(kN)每根中梁梁端剪力(kN)1029.5228.6737.9535.42959.0457.3575.9070.84859.0457.3575.9070.84759.0457.3575.9070.84659.0457.3575.9070.84558.8956.8676.1671.59458.6155.8876.6773.10358.4655.3876.9273.85259.1055.9076.5473.33164.5756.6277.5769.61
-159.0645.6865.0851.70表19框架柱在水平地震作用下的柱轴力层数边框架调整前中框架调整前边框架调整前中框架调整前每根边梁梁端剪力(kN)每根中梁梁端剪力(kN)每根边梁梁端剪力(kN)每根中梁梁端剪力(kN)每根边柱柱轴力(kN)每根中柱柱轴力(kN)每根边柱柱轴力(kN)每根中柱柱轴力(kN)1025.8925.1533.2931.0725.89-0.7433.29-2.22951.8750.3866.6862.2477.76-2.2299.98-6.67851.9350.4466.7762.31129.69-3.71166.74-11.12751.6450.1666.3961.96181.32-5.18233.13-15.54650.6449.2065.1160.77231.97-6.63298.24-19.88548.5346.8762.7358.95280.49-8.29360.97-23.67445.0242.9458.8756.09325.51-10.36419.84-26.44340.1138.0052.7750.66365.62-12.47472.61-28.55233.8532.0244.0042.17399.46-14.29516.61-30.38126.8124.2632.9930.44426.27-16.85549.60-32.93-116.0313.0418.1715.18442.30-19.84567.77-35.92(1)屋面梁线荷载标准值屋面均布恒载传给梁(三角形荷载峰值)kN/m梁自重(均布荷载)kN/m梁侧抹灰(均布荷载)kN/m恒载标准值(均布荷载)4.88kN/m
(b)单位:kN(a)单位:kN·m(c)单位:kN图11框架内力图(a)弯矩图(b)剪力图(c)轴力图
(2)楼面梁线荷载标准值楼面均布恒荷载传给梁(三角形荷载峰值)kN/m梁自重(均布荷载)kN/m梁侧抹灰(均布荷载)kN/m墙体自重(均布荷载)kN/m恒载标准值(均布荷载)8.57kN/m2、活荷载计算(1)屋面梁线荷载标准值屋面均布活荷载传给梁(三角形荷载峰值)kN/m屋面均布雪荷载传给梁(三角形荷载峰值)kN/m(2)楼面梁线荷载标准值楼面均布活荷载传给梁(三角形荷载峰值)kN/m3、竖向荷载作用下框架弯矩计算计算方法采用二次力矩分配法。其结果列于图12及图13中。考虑框架梁端苏醒内力重分布,取弯矩调幅系数为0.8,调幅后的弯矩值加括号写于弯矩计算图中。将三角形荷载转化成等效均布荷载(1-29)则屋面均布荷载传给梁kN/m楼面均布荷载传给梁kN/m楼(屋)面均布活荷载传给梁
kN/m屋面均布雪荷载传给梁kN/m4、竖向荷载作用下梁端剪力及轴力计算梁端剪力(1-30)为梁上均布荷载引起的剪力(1-31)为梁端弯矩引起剪力(1-32)柱轴力(1-33)式中:P——为节点集中力及柱自重
图12恒载作用下框架弯矩计算简图(单位:kN·m)
图13活载作用下框架弯矩计算简图(单位:kN·m)
图14恒载作用下框架弯矩图(单位:kN·m)由上式可计算梁端剪力,其结果列于表20中。表20竖向荷载用下梁端剪力(单位:kN)恒载作用下层数Vq(左)Vq(右)边梁中梁边梁中梁Vm(左)Vm(右)Vm(左)Vm(右)V(左)V(右)V(左)V(右)10154.99-154.99-7.47-7.4700147.52-162.45154.99-154.999142.94-142.94-2.85-2.8500140.08-145.79142.94-142.948142.94-142.94-3.44-3.4400139.49-146.38142.94-142.947142.94-142.94-3.44-3.4400139.49-146.38142.94-142.946142.94-142.94-3.44-3.4400139.49-146.38142.94-142.94
5142.94-142.94-3.60-3.6000139.34-146.53142.94-142.944142.94-142.94-2.66-2.6600140.27-145.60142.94-142.943142.94-142.94-2.05-2.0500140.88-144.99142.94-142.942142.94-142.94-2.14-2.1400140.79-145.08142.94-142.941142.94-142.94-2.28-2.2800140.66-145.21142.94-142.94-1142.94-142.94-2.56-2.5600140.37-145.50142.94-142.94活载(屋面活荷载)作用下层数Vq(左)Vq(右)边梁中梁边梁中梁Vm(左)Vm(右)Vm(左)Vm(右)V(左)V(右)V(左)V(右)1038.03-38.03-1.81-1.810036.22-39.8338.03-38.03938.03-38.03-0.79-0.790037.24-38.8138.03-38.03838.03-38.03-0.92-0.920037.11-38.9438.03-38.03738.03-38.03-0.92-0.920037.11-38.9438.03-38.03638.03-38.03-0.92-0.920037.11-38.9438.03-38.03538.03-38.03-0.96-0.960037.07-38.9838.03-38.03438.03-38.03-0.71-0.710037.32-38.7338.03-38.03338.03-38.03-0.55-0.550037.48-38.5738.03-38.03238.03-38.03-0.57-0.570037.45-38.6038.03-38.03138.03-38.03-0.61-0.610037.42-38.6338.03-38.03-138.03-38.03-0.68-0.680037.34-38.7138.03-38.03活载(屋面雪载)作用下层数Vq(左)Vq(右)边梁中梁边梁中梁Vm(左)Vm(右)Vm(左)Vm(右)V(左)V(右)V(左)V(右)107.61-7.61-0.11-0.11007.49-7.727.61-7.61938.03-38.03-1.04-1.040036.99-39.0638.03-38.03838.03-38.03-0.92-0.920037.11-38.9438.03-38.03738.03-38.03-0.92-0.920037.11-38.9438.03-38.03638.03-38.03-0.92-0.920037.11-38.9438.03-38.03538.03-38.03-0.96-0.960037.07-38.9838.03-38.03438.03-38.03-0.71-0.710037.32-38.7338.03-38.03338.03-38.03-0.55-0.550037.48-38.5738.03-38.03238.03-38.03-0.57-0.570037.45-38.6038.03-38.03138.03-38.03-0.61-0.610037.42-38.6338.03-38.03-138.03-38.03-0.68-0.680037.34-38.7138.03-38.03表21恒载及活载作用下柱轴力
八、框架内力组合1、框架梁内力组合(1)梁跨内最大弯矩计算解析法
1)在恒载和活载作用下,且应满足≥(1-34)式中,、为调幅后梁左、右端截面弯矩。2)在竖向荷载与地震作用组合时左震时(1-35),0≤≤l(1-36)图15框架梁内力组合计算简图(1-37)右震时,式中、反号。表22恒载及活载作用下梁跨内最大弯矩层数荷载恒载作用下边跨弯矩M(kN·m)恒载作用下中跨弯矩M(kN·m)活载作用下边跨弯矩M(kN·m)活载作用下中跨弯矩M(kN·m)恒载(kN/m)活载(kN/m)1039.749.75151.44151.1137.0737.07936.659.75139.36139.3637.0737.07836.659.75139.36139.3637.0737.07736.659.75139.36139.3637.0737.07636.659.75139.36139.3637.0737.07536.659.75139.36139.3637.0737.07436.659.75139.36139.3637.0737.07336.659.75139.36139.3637.0737.07236.659.75139.36139.3637.0737.07136.659.75139.36139.3637.0737.07-136.659.75139.36139.3637.0737.07表23MGE计算
续表MGE计算(2)框架梁内力组合
控制截面:梁端、梁跨中1)梁端(1-38)2)梁端(1-39)3)跨中(1-40)其组合结果见表24所示表24框架梁内力组合(单位:kN·m)层数梁端负弯矩梁端正弯矩梁跨中弯矩非抗震抗震抗震非抗震边梁(边)边梁(中)中梁边梁(边)边梁(中)中梁边梁(边)边梁(中)中梁边梁中梁10-194.30-287.00-266.18-438.91-482.88-465.30153.2160.6273.67241.51241.079-222.20-258.39-243.46-736.75-698.43-685.87412.13321.15330.38225.21225.218-215.01-258.39-243.46-730.66-698.43-685.87416.71321.15330.38225.21225.217-215.01-258.39-243.46-730.66-698.43-685.87416.71321.15330.38225.21225.216-215.01-258.39-243.46-730.66-698.43-685.87416.71321.15330.38225.21225.215-213.03-258.39-243.46-727.35-703.53-690.97416.30326.24335.48225.21225.214-221.24-254.79-242.24-730.99-710.70-700.13407.95338.66346.43225.21225.213-226.53-252.39-241.60-733.80-713.77-704.69403.04345.25351.93225.21225.212-225.37-252.39-241.60-731.09-710.29-701.21402.01341.77348.45225.21225.211-224.01-252.75-241.68-769.15-685.34-676.03442.06316.29323.14225.21225.21-1-219.70-251.98-241.50-828.53-625.88-617.06507.74257.95264.44225.21225.212、框架柱内力组合框架住在重力与某一方向水平地震作用下的截面承载力可按单向偏压设计,必要时按双向偏压设计。框架柱取每层柱顶和柱底两个控制截面。一般情况下,可考虑计算截面以上各层活荷载不总是同时满布而对楼层均布活载的折减,即应考虑折减系数
1)非抗震设计时(1-41)2)抗震设计时(1-42)由以上公式可得框架柱内力组合值,将其列于表25中表25框架柱内力组合层数柱端弯矩(kN·m)柱端轴力(kN)非抗震设计抗震设计非抗震设计抗震设计边柱中柱边柱中柱边柱中柱边柱中柱10顶242.88-18.03479.92-498.22483.01756.63479.59700.62底164.08-9.33413.13-488.89542.71816.33532.66753.699顶111.75-9.18369.22-488.80962.001432.251024.531397.96底132.17-9.18386.61-488.801021.711491.951077.601451.038顶131.07-9.10385.95-488.751437.002103.311566.782092.85底131.07-9.10385.95-488.751496.712163.011619.852145.927顶131.07-9.10385.95-488.751917.542785.942112.352794.68底131.07-9.10385.95-488.751977.252845.642165.422847.766顶127.75-8.87383.96-488.612356.303382.012632.863444.58底133.18-8.87388.60-488.612416.013441.722685.933497.665顶119.96-8.87375.67-498.812828.164047.663173.594137.61底110.69-5.51367.75-495.942887.864107.373226.664190.684顶150.89-9.33400.78-509.423282.284671.153705.034807.50底140.50-6.35391.88-506.873359.564748.433773.724876.193顶126.35-6.35379.77-506.873754.295328.094247.945498.47底131.70-6.35384.35-506.873831.575405.374316.635567.162顶133.79-6.35384.40-499.904226.125985.204790.036188.70底138.02-6.76388.02-500.254303.406062.484858.726257.391顶124.76-6.22417.90-456.264669.726585.005316.906838.12底147.19-5.44437.15-455.594747.006662.285385.596906.82-1顶109.35-7.16426.74-382.675137.957237.165858.957504.03底54.68-3.40379.81-379.765215.237314.445927.647572.72九、剪力墙内力计算1、水平地震作用下剪力墙内力计算
(1-43)由以上公式,将水平地震作用下剪力墙的内力列于表26中表26水平地震作用下剪力墙内力层数M(kN·m)V(kN)W-1W-2W-3W-4W-1W-2W-3W-4104.43E-053.99E-064.57E-066.61E-05-4.78E+02-4.31E+01-4.94E+01-7.14E+0299.22E+028.32E+019.52E+011.38E+03-2.45E+00-2.21E-01-2.53E-01-3.65E+0087.74E+016.97E+007.99E+001.15E+024.29E+023.86E+014.42E+016.39E+027-2.37E+03-2.13E+02-2.44E+02-3.53E+038.18E+027.38E+018.45E+011.22E+036-6.26E+03-5.64E+02-6.46E+02-9.33E+031.17E+031.05E+021.21E+021.75E+035-1.14E+04-1.03E+03-1.18E+03-1.71E+041.49E+031.34E+021.53E+022.22E+034-1.78E+04-1.61E+03-1.84E+03-2.66E+041.77E+031.60E+021.83E+022.64E+033-2.52E+04-2.27E+03-2.60E+03-3.76E+042.02E+031.82E+022.09E+023.02E+032-3.35E+04-3.02E+03-3.46E+03-5.00E+042.25E+032.03E+022.32E+023.35E+031-4.27E+04-3.85E+03-4.41E+03-6.37E+042.44E+032.20E+022.52E+023.65E+03-1-5.34E+04-4.81E+03-5.51E+03-7.96E+042.63E+032.37E+022.71E+023.92E+03 -6.47E+04-5.84E+03-6.68E+03-9.66E+042.79E+032.51E+022.88E+024.16E+032、竖向荷载作用下剪力墙内力计算(1)恒载作用下剪力墙各层集中荷载和内力计算其荷载组成由板传来的三角形荷载和由连梁传来的集中荷载,剪力墙受板传来荷载如图17所示,将均布荷载转化成集中荷载及弯矩列于表27中,通过以上计算可得恒载作用下剪力墙内力,将其列于表28中。
图17剪力墙受板传来荷载示意图表27恒载作用下剪力墙所受荷载层数W-1W-2W-3W-4集中力弯矩集中力弯矩集中力弯矩集中力弯矩10顶1750.83-286.75114.45-46.92114.45-64.091750.83314.64底2006.44165.16165.162006.449顶1386.56-264.45105.55-43.28105.55-59.111386.56290.17底1642.17156.26156.261642.178顶1386.56-264.45105.55-43.28105.55-59.111386.56290.17底1642.17156.26156.261642.177顶1386.56-264.45105.55-43.28105.55-59.111386.56290.17底1642.17156.26156.261642.176顶1386.56-264.45105.55-43.28105.55-59.111386.56290.17底1642.17156.26156.261642.175顶1386.56-264.45105.55-43.28105.55-59.111386.56290.17底1642.17156.26156.261642.174顶1386.56-264.45105.55-43.28105.55-59.111386.56290.17底1642.17156.26156.261642.173顶1386.56-264.45105.55-43.28105.55-59.111386.56290.17底1642.17156.26156.261642.172顶1386.56-264.45105.55-43.28105.55-59.111386.56290.17底1642.17156.26156.261642.171顶1386.56-264.45105.55-43.28105.55-59.111386.56290.17底1662.78160.35160.351662.78-1顶1386.56-264.45105.55-43.28105.55-59.111386.56290.17底1662.78160.35160.351662.78注:表中集中力单位:kN,弯矩单位:kN·m
表28恒载作用下剪力墙内力(轴力单位:kN,弯矩单位:kN·m)层数W-1W-2W-3W-4轴力弯矩轴力弯矩轴力弯矩轴力弯矩10顶1750.83-286.75114.45-46.92114.45-64.091750.83314.64底3757.26279.61279.613757.269顶3393.00-551.20270.71-93.85270.71-123.203393.00604.81底5399.43435.88435.885399.438顶6785.99-815.66541.43-137.13541.43-182.316785.99894.98底7041.60592.14592.147041.607顶8428.16-1080.11697.69-180.40697.69-241.428428.161185.15底8683.77748.40748.408683.776顶10070.33-1344.56853.95-223.68853.95-300.5310070.331475.32底10325.94904.67904.6710325.945顶11712.50-1609.021010.22-266.961010.22-359.6411712.501765.49底11968.111060.931060.9311968.114顶13354.67-1873.471166.48-310.231166.48-418.7513354.672055.66底13610.281217.191217.1913610.283顶14996.84-2137.921322.74-353.511322.74-477.8614996.842345.84底15252.451373.451373.4515252.452顶16639.01-2402.371479.01-396.781479.01-536.9716639.012636.01底16894.621529.721529.7216894.621顶18281.18-2666.831635.27-440.061635.27-596.0718281.182926.18底18557.401690.071690.0718557.40-1顶19943.96-2931.281795.62-483.341795.62-655.1819943.963216.35底20220.191850.421850.4220220.19表29活载作用下剪力墙所受荷载(集中力单位:kN,弯矩单位:kN·m)层数W-1W-2W-3W-4集中力弯矩集中力弯矩集中力弯矩集中力弯矩10368.87-70.3528.08-11.5128.08-11.51368.87-70.359368.87-70.3528.08-11.5128.08-11.51368.87-70.358368.87-70.3528.08-11.5128.08-11.51368.87-70.357368.87-70.3528.08-11.5128.08-11.51368.87-70.356368.87-70.3528.08-11.5128.08-11.51368.87-70.355368.87-70.3528.08-11.5128.08-11.51368.87-70.354368.87-70.3528.08-11.5128.08-11.51368.87-70.353368.87-70.3528.08-11.5128.08-11.51368.87-70.352368.87-70.3528.08-11.5128.08-11.51368.87-70.351368.87-70.3528.08-11.5128.08-11.51368.87-70.35-1368.87-70.3528.08-11.5128.08-11.51368.87-70.35
(2)活载作用下剪力墙各层集中荷载和内力计算其计算方法同恒载作用将结果列于表29及表30中。表30恒载作用下剪力墙内力层数W-1W-2W-3W-4轴力弯矩轴力弯矩轴力弯矩轴力弯矩10368.87-70.3528.08-11.5128.08-11.51368.87-70.359737.73-140.7056.16-23.0356.16-23.03737.73-140.7081106.60-211.0684.24-34.5484.24-34.541106.60-211.0671475.47-281.41112.32-46.05112.32-46.051475.47-281.4161844.33-351.76140.40-57.56140.40-57.561844.33-351.7652213.20-422.11168.48-69.08168.48-69.082213.20-422.1142582.07-492.47196.56-80.59196.56-80.592582.07-492.4732950.94-562.82224.64-92.10224.64-92.102950.94-562.8223319.80-633.17252.72-103.62252.72-103.623319.80-633.1713688.67-703.52280.80-115.13280.80-115.133688.67-703.52-14057.54-773.88308.88-126.64308.88-126.644057.54-773.88注:轴力单位为kN,弯矩单位为kN·m3、剪力墙内力组合其计算方法同柱,此仅将其结果列于表31及表32中。表31剪力墙墙端弯矩组合(单位:kN·m)层数墙端弯矩组合非抗震抗震W-1W-2W-3W-4W-1W-2W-3W-410-457.464-74.8615-98.0379354.4061-3.86E+02-6.32E+01-8.38E+013.35E+029-870.758-147.421-187.045689.8554-1.93E+03-2.36E+02-2.84E+02-1.14E+038-1280.53-214.478-275.4771028.822-1.18E+03-1.91E+02-2.47E+028.20E+027-1697.35-282.687-365.0611360.754-4.52E+03-5.24E+02-6.30E+02-3.31E+036-2061.39-342.261-446.0091745.45-9.89E+03-1.04E+03-1.22E+03-1.05E+045-2467.65-408.743-533.8652087.935-1.70E+04-1.72E+03-1.99E+03-2.02E+044-2849.29-471.196-617.6922455.043-2.56E+04-2.54E+03-2.92E+03-3.23E+043-3252.03-537.102-704.9732801.045-3.56E+04-3.49E+03-3.98E+03-4.63E+042-3654.77-603.009-792.2533147.047-4.67E+04-4.54E+03-5.17E+03-6.21E+041-4022.33-663.159-873.7783528.226-5.90E+04-5.70E+03-6.47E+03-7.95E+04-1-4421.56-467.177-960.4833877.745-7.32E+04-7.04E+03-7.98E+03-9.99E+04
表32剪力墙轴力组合层数墙轴力组合(kN)非抗震抗震W-1W-2W-3W-4W-1W-2W-3W-410顶2732.48182.59182.592732.482322.31154.19154.192322.31底5441.17405.56405.565441.174730.03352.38352.384730.039顶5244.51416.01416.015244.514469.97355.18355.184469.97底7953.19638.98638.98663.966877.69553.38553.386877.698顶10101.70802.53802.5310101.708707.56692.68692.688707.56底10446.77870.99870.9910446.779014.29753.53753.539014.297顶12632.171037.361037.3612632.1710866.28894.51894.5110866.28底12977.241105.821105.8212977.2411173.01955.37955.3711173.016顶14885.981251.121251.1214885.9812859.021083.711083.7112859.02底15231.051319.581319.5815231.0513165.751144.571144.5713165.755顶17361.121481.731481.7317361.1214984.551283.021283.0214984.55底17706.191550.191550.1917706.1915291.281343.881343.8815291.284顶19707.151702.511702.5119707.1517032.611476.441476.4417032.61底20052.221770.971770.9720052.2217339.341537.291537.2917339.343顶22163.841931.721931.7222163.8419147.071674.901674.9019147.07底22508.922000.182000.1822508.9219453.811735.761735.7619453.812顶24620.542160.932160.9324620.5421261.541873.371873.3721261.54底24965.612229.392229.3924965.6121568.271934.221934.2221568.271顶26892.802376.092376.0926892.8023265.342063.412063.4123265.34底27265.702450.082450.0827265.7023596.812129.172129.1723596.81-1顶29358.872609.422609.4229358.8725393.472265.942265.9425393.47底29731.772683.402683.4029731.7725724.942331.702331.7025724.94十、截面设计与验算1、设计表达式非抗震设计:(1-44)抗震设计:(1-45)实用:(1-46)——承载力抗震调整系数在截面配筋计算时,组合表中与地震作用组合的内力应乘以
后,再与静力组合的内力进行比较,从而挑出最不利内力。2、结构抗震等级框架—剪力墙结构抗震设防烈度8度:60m,框架二级,剪力墙一级;60m,框架一级,剪力墙二级。根据上述判别条件可知,此结构框架部分抗震等级为二级,剪力墙部分抗震等级为一级。3、框架梁截面设计(1)框架梁正截面强度设计二级框架:(1-47)最小配筋要求支座:(1-48)跨中:(1-49)这里仅以第一层边跨梁为例,写明计算方法和过程,其它层梁的配筋计算结果见表33及表34中。从表24中选取边跨最不利内力,并将支座中心处的弯矩换算为支座边缘控制截面的弯矩进行配筋计算。支座弯矩kN·m(1-50)kN·m(1-51)kN·m(1-52)kN·m(1-53)跨中最大弯矩kN·m当梁下部受拉时,按T型截面设计,当梁上部受拉时,按矩形截面设计。
翼缘计算宽度当按跨度考虑时,m;按梁间距考虑时,0.5+7.3=7.8m;按翼缘厚度考虑时,=515m,,此种情况不起控制作用,故取mm。梁内纵向钢筋选HRB400级钢,。下部跨间截面按单筋T形截面计算。因为kN·m168.91kN·m属第一类T形截面mm2实配钢筋620(mm2),,满足要求。将下部跨间截面的钢筋伸入支座,作为支座负弯矩作用下的受压钢筋(mm2),在计算相应的受拉钢筋,即支座A上部,则受压钢筋在构件破坏时未达到屈服强度mm2实取822(mm2),,,
满足要求。同理,支座上部,则受压钢筋在构件破坏时未达到屈服强度mm2实取722(mm2),,,满足要求。(2)梁斜截面受剪承载力计算(1-54)式中,——剪力增大系数,二级框架取1.2,,——分别为梁左、右端逆时针或顺时针方向截面组合的弯矩设计值,——梁的净跨,——考虑地震作用组合的重力荷载代表值作用下,按简支梁分析的梁端截面剪力设计值。AB跨kNkN故截面尺寸满足要求。表33框架梁纵向钢筋计算表层数截面M(kN)αsξA"(mm2)A(mm2)实配钢筋A"/Aρ10支座A279.530.0280.02912571618522(1901)0.6610.007Bl308.740.0410.04212571787522(1901)0.6610.007AB跨间206.440.0180.019 1124420(1257) 0.005支座Br298.260.0610.0639421726522(1901)0.4960.007BC跨间163.430.0150.015 888420(1257) 0.004
1支座A515.680.0860.09018852984822(3041)0.6200.012Bl451.660.0570.05918852614722(2661)0.7080.010AB跨间317.920.0280.029 1740620(1885) 0.007支座Br447.860.0800.08315712592722(2661)0.5900.010BC跨间242.270.0220.022 1321520(1571) 0.006表34框架梁箍筋计算表层数截面V(kN)0.2βcfcbh0(kN)Asv/s梁端加密区(mm)梁端加密区实配非加密区10A293.39860.050.914220.07φ8@100φ8@150Bl323.11860.051.134177.42φ8@100φ8@150Br304.18860.050.994202.40φ8@100φ8@1501A351.04860.051.341150.07φ8@100φ8@150Bl360.25860.051.409142.81φ8@100φ8@150Br342.87860.051.280157.16φ8@100φ8@150梁端加密区箍筋取4肢φ8@100,箍筋用HPB235级钢筋,则加密区长度取mmmm,非加密区箍筋取4肢φ8@150,,箍筋设置满足要求。(3)框架梁挠度验算现以首层边梁为例计算N/mm2
取m及m两者的较小值,即mm,N·mm2N·mm2mmmm,满足要求。上述计算取其最不利计算,故其它梁亦满足要求。4、框架柱截面设计(1)柱轴压比验算二级框架(1-55)通过上式,将计算结果列于表35中表35柱剪跨比与轴压比验算层数b(mm)h(mm)fc(N/mm2)M(kN·m)V(kN)N(kN)剪跨比轴压比5边柱70070016.7375.67109.603226.665.190.39中柱70070016.7498.81196.854190.683.840.51-1边柱80080019.1315.7847.955905.368.660.48中柱80080019.1257.0674.407556.624.550.62(2)框架柱正截面强度设计考虑强柱弱梁的弯矩设计值二级框架(1-56)
式中,——同一节点上、下柱端截面弯矩设计值之和——同一节点左、右梁端截面弯矩设计值之和注:二级框架底层柱下端截面弯矩设计值宜乘增大系数1.25中柱、边柱,一侧约为0.2%角柱,一侧约为0.25%不利内力组合:与相应的N与相应的N与相应的M与相应的M对称框架结构:边柱时,中柱时,时,时,图17框架柱不利内力组合判断重力荷载作用地震水平荷载作用现以第二层中柱及边柱为例计算。根据柱内力组合表,将支座中心处的弯矩换算至支座边缘,并与柱端组合弯矩的调整值比较后,选出最不利内力,进行配筋计算。左、右梁端弯矩(表33中弯矩已调整好)中柱kN·m上、下柱端弯矩上端不调整456.26-1.3×57.23×0.55=415.60kN·m
kN·m1.2=1.2×899.52=1079.42kN·m,kN·m,再节点处将其按弹性弯矩分配给上、下柱端,即kN·mkN·mmm取20mm和偏心方向截面尺寸的1/30两者中的较大值,即800/30=27mm,故取=27mm。柱的计算长度mmm因为,故应考虑偏心距增大系数。,取,取,mm对称配筋=0.518,为小偏压情况。(1-57)
按上式计算时应满足及,有两个条件可得kNkN=0.43×19.1×800×7602×10-6=3795.06kN·m,故按构造配筋,且应满足,单侧配筋率,故mm2选422(mm2),总配筋率为取作用下及相应的M计算。N=6062.48kN,节点上、下柱端弯矩下端弯矩6.22×(1.95-0.55)/1.95=4.47kN·m此内力是非地震组合情况,且无水平荷载效应,故不必进行调整。mmmm同理可求得,取,取,mm对称配筋=0.518,为小偏压情况。按式1-56计算时应满足及,有两个条件可得kNkN=0.43×19.1×800×7602×
10-6=3795.06kN·m,故按构造配筋,且应满足,单侧配筋率,故mm2选422(mm2),总配筋率为.边柱kN·m上、下柱端弯矩上端不调整根据比例下端弯矩为340.16kN·mkN·m,满足要求。mm取20mm和偏心方向截面尺寸的1/30两者中的较大值,即800/30=27mm,故取=27mm。柱的计算长度mmm因为,故应考虑偏心距增大系数。,取,取,mm对称配筋=0.518,为大偏压情况。
故按构造配筋取作用下及相应的M计算。N=4303.40kN,节点上、下柱端弯矩下端弯矩138.02×(1.95-0.55)/1.95=99.09kN·m此内力是非地震组合情况,且无水平荷载效应,故不必进行调整。mmmm同理可求得,取,取,mm对称配筋=0.518,为大偏压情况。故按构造配筋,且应满足,单侧配筋率,故mm2选422(mm2),总配筋率为.(3)框架柱斜截面强度设计
以第一层柱为例进行计算,由上可知,上柱柱端弯矩设计值根据比例调整可得kN·m对于二级抗震,柱底弯矩设计值kN·m则框架柱的剪力设计值kNkN,满足要求。,取kNkN,取kN故该层柱应按构造配置箍筋。柱端加密区的箍筋选用4肢φ10@100,二层柱轴压比,由表查得,则最小体积配箍率,
mm2,则mm,故加密区选取4肢φ10@100满足要求,加密区长度取800mm。非加密区长度应满足mm,取箍筋为4肢φ10@150,其它层箍筋见表36所示。表36柱箍筋计算表层数截面V(kN)0.2βcfcbh0(kN)λAsv/s 梁端加密区实配非加密区10顶298.251543.082.9270.4290.0064φ10@1004φ10@150底0.4294φ10@1004φ10@1502顶307.962322.562.567-0.1210.0104φ10@1004φ10@150底-0.1214φ10@1004φ10@1501顶297.592322.562.761-0.0860.0114φ10@1004φ10@150底-0.0864φ10@1004φ10@1505、梁柱节点设计(1)节点核心区剪力设计值二级框架(1-58)以一层中柱顶节点为例计算。本框架为二级抗震等级,按上式计算剪力设计值,其中Hc为柱的计算高度,取节点上、下柱反弯点间的距离,即mkN·m剪力设计值kN因,故取mm,mm,,则kNkN满足要求节点核心区的受剪承载力按下式计算,其中N取二层柱底轴力kN和
kN二者中的较小值,故取kN。设节点区配箍为4φ10@100,则kNkN,故承载力满足要求。6、剪力墙截面设计(1)剪力墙轴压比验算一级剪力墙(1-59)通过上式,将其结果列于表37中表37剪力墙轴压比层数墙肢W-1W-2W-3W-4100.190.040.040.1990.290.060.060.2980.380.080.080.3870.470.110.110.4760.570.130.130.5750.660.150.150.6640.760.150.170.7630.850.200.200.8520.940.220.220.9410.880.210.210.88-10.960.230.230.96经上面计算,部分剪力墙轴压比不满足要求,应按构造设置约束边缘构件,由于就剪力墙构成筒体,构成了约束边缘构件,满足墙体轴压比值。(2)剪力墙正截面强度设计一级剪力墙:为通过配筋控制塑性铰区位于墙肢的底部底部加强部位及其以上一层应按墙底截面组合弯矩计算值;其它部位可按墙肢组合弯矩计算值的1.2倍采用。偏心受压剪力墙大小偏压得判别式
大偏压(1-60)小偏压(1-61)(1-62)剪力墙底部加强区高度可取m和底部二层二者的较大者,且不大于15m,故取1~2层为底部加强区,现以首层剪力墙为例说明计算过程,取首层最不利的组合内力的绝对值进行计算。地震组合kN·mkNkN非地震组合kN·mkN比较两组内力可见,考虑地震组合的内力为最不利内力,故下面仅按这组内利进行计算。端部采用HRB400级钢筋,箍筋和分布钢筋采用HRB335级钢筋,端部钢筋对称配置。1)验算墙肢截面尺寸mm剪跨比此外,对剪力墙底部加强区范围内的剪力设计值上应进行调整,即kNkNkN,满足要求。2)偏心受压正截面承载力计算墙体竖向分布钢筋选取双排212@150,可求得竖向分布钢筋的配筋率为水平分布钢筋沿截面高度选取212@150。相对界限受压区高度为
假定,可得截面受压区高度为mmmm,属于大偏心受压,可得kN·mkN·mm则故按构造要求配筋,取0.010mm2和616的较大值,选取纵筋为620(mm2),箍筋为φ8@100。(3)斜截面受剪承载力计算因剪跨比,,故计算时取。又因为,故取计算,即
配筋率为,满足要求。(4)剪力墙水平施工缝处的抗滑移验算一级剪力墙(1-63)通过上式(5)剪力墙约束边缘构件与构造边缘构件设计一、二级剪力墙底部加强部位及其以上一层的墙肢端部应设置约束边缘构件,其它部位应设置构造边缘构件。边缘构件应符合相应的要求。十一、筏形基础设计1、地基承载力验算基础结构平面布置如图18所示图18基础结构平面布置图
无震时修正后地基承载力特征值(1-64)持力层为砾砂层,查规范得,则持力层承载力设计值为(设基础底板厚800mm,基础梁高800mm)有地震作用时基础承载力特征值地下一层外墙自重kN板底自重kNm2m2故底板按柱网布置。基底全反力必小于,不必验算。结构在无震时不偏心,下式仅验算有震时的情况(1-65)则满足要求尽可能使荷载合理中心与筏基底面形心相重合。当不能重合时,偏心矩宜符合下式要求(1-66)式中,——与偏心矩方向一致的基础底面的抵抗矩——基础底面积mm,满足要求,因偏心矩较小,可不考虑偏心。2、筏基底板厚度的确定
筏板厚度应根据抗冲切、抗剪切要求确定。基底净反力kN/m2mm,mmkNkN,满足要求。kNkN,满足要求。3、筏基底板配筋计算(1)各区格板均为双向板,查表得:,,,,,,(2)板中最大弯矩计算图19基础板区格划分
区格2:kN·mkN·m区格3:kN·mkN·m区格4:kN·mkN·m支座a:kN·m支座b:kN·m支座c:kN·m支座d:kN·m支座e:kN·m(3)支座弯矩调整kN·mkN·mkN·mkN·m(4)调整后的支座弯矩为kN·mkN·m
kN·mkN·mkN·m(5)板配筋计算配筋公式(1-67)通过上式,将结果列于表38中4、基础梁配筋计算(1)取JL2计算,受力形式为三角形荷载,跨数为7跨,工程上取5跨即满足精度要求,如图20所示,kN/m图20JL2计算简图位置M(kN·m)h0(mm)As(mm2)实配钢筋实配钢筋面积(mm2)区格2x方向312.567501543.5120@1601963y方向209.547501034.7720@1601963区格3x方向314.907501555.0620@1601963314.907501555.0620@1601963
y方向区格4x方向264.567501306.4720@1601963y方向231.787501144.5920@1601963支座a441.127502178.3718@1002545支座b734.587503627.5622@1003801支座c550.487502718.4220@1102856支座d224.907501110.6220@1001963支座e671.937503318.1722@1103456表38基础底板配筋注:表中配筋可根据施工需要进行等面积替代。最小配筋率为0.2%和,故取,则mm21)查表得其弯矩系数为:,,,,,,剪力系数为:,,,,,,,,,2)弯矩计算:支座弯矩kN·mkN·mkN·mkN·m跨中弯矩AB跨跨中弯矩等于EF跨跨中弯矩,其结果为kN·m用系数计算得kN·mBC跨跨中弯矩等于DE跨跨中弯矩,其结果为
kN·m用系数计算得kN·mCD跨跨中弯矩kN·m用系数计算得kN·m系数法计算结果较为精确,故采用系数法数值。3)剪力计算kNkNkNkNkN其弯矩及剪力如图21所示(a)弯矩图(单位:kN·m)图21JL2内力图(b)剪力图(单位:kN)
(2)取横向JL4,受力形式为三角形荷载,跨数3跨,如图22所示。kN/m图22JL4计算简图1)查表得其弯矩系数为:,,,剪力系数:,,,,,,2)弯矩计算支座弯矩kN·mkN·m跨中弯矩kN·mkN·m3)剪力计算kNkNkN其弯矩及剪力如图23所示(3)配筋计算N/mm2,,mm,mm,梁主筋选用HRB400,N/mm2,,mm。现以JL2梁AB跨为例计算其配筋,其余与此方法相同,列于表39中。
(a)弯矩图(单位:kN·m)(b)剪力图(单位:kN)图23JL4内力图mm2表39正截面承载力计算及配筋位置M(kN·m)αsγsAs(mm2)ξξb选配钢筋JL2跨中AB4839.360.1510.91894490.1640.5181232BC2374.030.0740.96244250.077632CD3119.390.0970.94958920.102832支座B6026.370.1880.895120650.2101632C4474.120.1390.92586720.1511132D4474.120.1390.92586720.1511132E6026.370.1880.895120650.2101632JL4跨中AB4930.670.1540.91696450.1681332BC1917.480.0600.96935460.062532支座B、C5752.450.1790.900114480.1991632注:其中,即
最小配筋率为0.2%和,故取,则mm2(4)斜截面承载力验算,则kN,根据前面的计算结果可知,截面满足要求。对于剪力kN时,按构造配置箍筋,选用HRB335级钢筋,六肢箍,最小配箍率为现以JL4梁支座Bl为例计算,(1-68)即则选用10六肢箍,即mm,则mm,故取mm,选用610@100.其它斜截面验算与上述方法相同,故将其余各截面计算列于表40中。表40基础梁斜截面验算及箍筋配置位置剪力V(kN)钢筋直径d(mm)(mm2)s(mm)选配箍筋JL2支座A、F2153.950.2271078.5346.0610@100Bl、Er3699.170.6701078.5117.2610@100Br、El3113.860.5021078.5156.3610@100Cl、Dr2739.260.3951078.5198.9610@100Cr、Dl2926.560.4481078.5175.1610@100JL4A、D2142.240.2241078.5351.2610@100
Bl、Cr3664.050.6601078.5119.0610@100Br、Cl2926.560.4481078.5175.4610@100'
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