钢管支撑强度及稳定性验算

钢支撑计算（斜撑）,,,,,,,,,,,注意全国规程JGJ120-2012与地方规程输入区别

钢支撑轴力标准值N标=,,1547,KN，,L=,13.7,m,,,25.848,,输入围护结构计算软件支撑计算轴力标准值

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一、计算参数,,,,,,,,,,,

分项系数=,,1.25,,,按,1.25,,,,,《全国规范》第4.2.3

"初始偏心矩e0=max(0.001*L,0.04)=",,0.04,m,,按,0.04,,,,,新版基坑规程要求

支撑面均布荷载q0=,,2,Kpa,,,,,,,,可取2Kpa，《上海规范》取4Kpa

支撑最大设计轴力N=,,1933.75,KN,,,,,,,,

质量密度ρ=,,7850,Kg/m3,,,78.5KN/m3,,,,,

初始弯矩M0=,,104.340487,KN·m,,由自重及支撑面均布荷,,,,,,

偏心弯矩Me=,,77.35,KN·m,,,,,,,,

最大弯矩M=Me+M0=,,181.690487,KN·m,,弯矩作用平面内的轴心受压构件稳定,,,,,,

稳定系数Ф=,,0.778155526,,,,,,,,,

截面塑性发展系数γ=,,1.15,,,钢管截面系数，b类构件,,,,,,《钢结构》5.2.1

钢管外径D=,,0.609,m,,,,,,,,

钢管内径d=,,0.577,m,,,,,,,,

截面惯性矩I=Л（D4-d4）/64=,,0.001311173,m4,,,,,,,,

截面模量W=2*I/D=,,0.004305987,m3,,在弯矩作用平面内对较大受压纤维,,,,,,

截面回转半径i=（D2+d2）0.5/4=,,0.209733462,m,,,,,,,,

截面积A=Л（D2-d2）/4=,,0.029807431,m2,,,,,,,,

弹性模量E=,,2.06E+05,Mpa,,Q235钢,,,,,,

构件计算长度修正系数μ=,,1,,,,,,,,,《全国规范》第4.5.2

构件长细比λ=μ*L/i=,,65.32100258,,<,150,,,,,,《建筑基坑支护技术规程》4.9.14-2

λ*SQRT（fy/235）,,65.32100258,,,,,,,,,

等效弯矩系数βmx=,,1,,,无端弯矩但有横向荷载作用,,,,,,《钢结构》5.2.2.1

参数Nex=Л2*EA/（1.1λ2）=,,12911.98828,KN,,,,,,,,《钢结构》5.2.2.1

二、钢支撑强度验算,,,,,,,,,,,

f=N/A+M/（γ*W）=,,101.565941,Mpa,<,[f]=215MPa,满足要求,,,,,

三、钢支撑整体稳定性验算,,,,,,,,,,,

1、钢支撑竖向平面内的稳定性验算,,,,,,,,,,,

f1=N/（Ф*A）=,,83.36991894,Mpa,,,,,,,,

f2=βmx*M/[γ*W*（1-0.8*N/Nex）]=,,41.68557388,MPa,,,,,,,,

f=f1+f2=,,125.0554928,MPa,<,[f]=215MPa,满足要求,,,,,

2、钢支撑竖向平面外的稳定性验算,,,,,,,,,,,《钢结构》5.2.2.2

构件长细比λ=μ*L/i=,,97.98150387,,<,150,,,,,,

λ*SQRT（fy/235）,,97.98150387,,,,,,,,,

平面外的轴心受压稳定系数Фy=,,0.568085581,,,,,,,,,

f1=N/（Фy*A）=,,114.198926,MPa,,,,,,,,

截面影响系数η=,,0.7,,,闭口截面取0.7,,,,,,

等效弯矩系数βtx=,,1,,,无端弯矩但有横向荷载作用,,,,,,

均匀弯曲的受弯构件整体稳定系数Фb=,,1,,,闭口截面取1.0,,,,,,

f2=η*βtx*Mx/(Фb*W1x)=,,12.57435344,MPa,,,,,,,,

f=f1+f2=,,126.7732794,MPa,<,[f]=215MPa,满足要求,,,,,

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圆管截面的受压构件，其外径与壁厚之比不应超过100(235/fy),,,,,,,,,,,

D/t=,38.0625,<=,100,,,,,,,,《钢结构》10.1.2

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b类轴心受压构件的稳定系数计算,,,,,,,,,,,

Q235钢fy=,,,235,Mpa,,,,,,,

弹性模量E=,,,206000,MPa,,,,,,,

λn=λ*(fy/E)0.5/Л=,,,0.702268676,,,,,,,,《钢结构》10.1.2附表C-4注1

Фx=,,,0.778155526,,,,,,,,《钢结构》10.1.2附表C-4注1

α1=,,,0.65,"b类构件

（焊接钢管）",,,,,,,《钢结构》10.1.2附表C-5

α2=,,,0.965,,,,,,,,

α3=,,,0.3,,,,,,,,

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注：,蓝色部分填入,,,,,,,,,,

,粉色部分需与规范确认,,,,,,,,,,

,红色部分为计算结果与[f]比较,,,,,,,,,,

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圆管截面的受压构件，其外径与壁厚之比不应超过100(235/fy),,,,,,,,,,,

D/t=,38.0625,<=,100,,,,,,,,

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b类轴心受压构件的稳定系数计算,,,,,,,,,,,

Q235钢fy=,,,235,Mpa,,,,,,,

弹性模量E=,,,206000,MPa,,,,,,,

λn=λ*(fy/E)0.5/Л=,,,1.053403014,,,,,,,,

Фx=,,,0.568085581,,,,,,,,

α1=,,,0.65,"b类构件

（焊接钢管）",,,,,,,

α2=,,,0.965,,,,,,,,

α3=,,,0.3,,,,,,,,