以Nmax为内力组合目标时或在对Ⅱ-Ⅱ截面以+Mmax为内力组合目标时,则常改用恒荷载+Dmax。
(5)评判Ⅱ-Ⅱ截面的内力组合时,对+Mmax=162.93kN2m及相应N=665.0kN,
e0=0.25m稍小于0.3h0=0.330.86=0.258m,但考虑到P-△二阶效应后弯矩会增
大,故估计是大偏压,因此取它的最不利内力组合;对Ⅲ-Ⅲ截面,Dmin=224.91kN及相应M=+234.6kN2m, e0=1.107m,偏心距很大,故也取为最不利内力组合。
(6)控制截面Ⅲ-Ⅲ的-Mmax及相应N、V的组合,是为基础设计用的。 (六)排架柱截面设计
采用就地预制柱,混凝土强度等级为C30,纵向受力钢筋为HRB400级钢筋,采用对称配筋。
1.上部柱配筋计算
由内力组合表1可知,控制截面Ⅰ-Ⅰ的内力设计值为 M=77.62kN2m N=204.4kN (1)考虑P-△二阶效应
e0?M/N=77.62/204.4=379mm,ea=20mm ei?e0?ea=379+20mm=399mm
A?bh=4003400=160000mm2
0.5fcA0.5?14.3?160?103?c??=5.60>1.0,取?c=1.0 3N204.4?10查表12-4可知,l0?2Hu=233.77=7.56m
1?l0??7.56? ?s?1????c?1????1=1.21
ei?h?399?0.4?15001500360h01(2)截面设计 假设为大偏压,则
22N204.4?103 x?=35.73mm<2?s?=80mm ???1fcbf1?14.3?400取x?2?s?=80mm e???sei?h=1.213399-200+40=322.79mm ?a?s2Ne?204.4?103?322.79?? As?As??573mm2
fy?h0?a?360?360?40?s???763mm2,故截面一侧钢筋截面面积763mm2﹥选用3C18,As?As?minbh=0.2%34003400=320mm2,同时柱截面纵配筋23763=1526mm2﹥0.55%34003400=880mm2。
(3)垂直于排架方向的截面承载力验算
由表12-4知,垂直于排架方向的上柱计算长度l0?1.25Ha=1.2533.77=4.71m
l04.71??11.78查上册表5-1得?=0.95 b0.4Nu?0.9??fcA?fy?As??=0.930.953(14.334003400+36031526) =2388.71kN﹥N=202.69kN,承载力满足。 2.下部柱配筋计算
按控制截面Ⅲ-Ⅲ进行计算。由内力组合表知,有二组不利内力: (a)M=513.99kN2m (b)M=346.03kN2m N=805.37kN
N=266.441kN
(1)按(a)组内力进行截面设计
e0?513.99=638mm ea?h/30=900/30=30mm 805.37ei?e0?ea=638+30=668mm
A?bh?2?bf?b?hf=100390032(400-100)(150-12.5)=1.875?105mm2
0.5fcA0.5?14.3?1.875?105?c??=1.66﹥1.0,取?c?1.0 3N805.37?101?l0??11.15??s?1????c?1????1.0=1.13
ei?h?668?0.9?15001500860h0122偏设为大偏心受压,且中和轴在翼缘内:
N805.37?103=141mm﹥2?s??80mm x???1fcb1?14.3?400 ﹤h??162.5mm f说明中和轴确实在翼缘内 e???sei?h=1.123668-450+40=318mm ?a?s2?x??141?3Ne???1fcb?fx??a?805.37?10?318?1?14.3?400?141??40???s22??????As?As?fy?h0?a?360?860?40?s? ?784mm2
mm2 采用4C18,As?A?s?1080(2)按(b)组内力组合进行截面设计
346.03?106e0??1299mmea?30mmei?1329mm 3266?100.5fcA0.5?14.3?1.875?105?c???5.03?1.0,取?c?1.0
N266.44?1031?11.15??s?1????1.0?1.071329?0.9?15008602
N266.44?103 x?=46.58mm﹤2?s??80mm ??1fcb?f1?14.3?400按计算
e???sei?h=1.0731329-450+40=1012mm ?a?s2Ne?266?103?1012??mm2 As?As??911mm2﹤As?A?s?1018fy?h0?a?360?860?40?s?(3)垂直于排架方向的承载力验算
由表12-4知,有柱间支撑时,垂直排架方向的下柱计算长度为0.8Hl=0.8311.15=8.92m
l07.96??22.3,可得??0.70 bf0.4Nu?0.9??fcA?fy?As??=0.930.703(14.33187500+3603231080)=3072.79kN﹥(a)组轴向力N=800.83kN。满足。
3.排架柱的裂缝宽度验算
裂缝宽度应按内力的准永久组合值进行验算。内力组合表中给出的是内力的设计值,因此要将其改为内力的准永久组合值,即把内力设计值乘以准永久组合值系数?q,再除以活荷载分项系数rQ?1.4。风荷载的?q=0,故不考了风荷载;不上人屋面的屋面活荷载,其?q=0,故把它改为雪荷载,即乘以系数30/50。
(1)上部柱裂缝宽度验算
按式(10-35)的荷载准永久组合,可得控制截面Ⅰ-Ⅰ的准永久组合内力值:
Mq??2.980.5300.60.6?0?(??(?1.45)??29.29??19.56) 1.21.4501.41.4=-24.30kN2m
Nq?129.618.0960.530??(??63)?161.20kN 1.21.21.450由上册式(8-38)知最大裂缝宽度
Wmaxdeq??? ??cr?1.9cs?0.08?Es??te???sq??te?AsAs603???0.0075?0.01,取?te=0.01 Ate0.5bh0.5?400?40024.03?106h=149mm,e0??y??as=200-40=160mm sNq161.20?10321?l0??2?3.77??s?1????1???=1.01
e0?h?149?0.4?40004000360h01e??se0?ys=1.013149+160=310.49mm
22Mqrf??0
22???h0???360??z??0.87?0.12?1?rf?????h0??0.87?0.12?1?????360=263mm
?310.49???e????????Nq?e?z?161.20?103??310.49?263??sq???49.27N/mm2
Asz603?263纵向受拉钢筋外边缘至手拉边的距离为28mm,近似取cs=20mm.
??1.1?0.65ftk?te?sq?1.1?0.65?2.01?负值,取?=0.2
0.01?48.270.018mm﹤0.3mm,满足。 (2)下部柱裂缝宽度验算
对Ⅲ-Ⅲ截面内力组合+Mmax及相应N的情况进行裂缝宽度验算。
Mq?7.4011.42?0.5300.6 ?????3.574??44.81?175.31???1.21.2?1.4501.4? =254.16kN2m
Nq?129.6136.84?0.5300.6??????63??535.51??509.58kN 1.21.21.4?1.450??te?ys?As1080??0.011
0.5bhf??bf?b?hf0.5?100?900??400?100??162.5h?as=450-40=410mm 2Mq254.16?106=498.76mm e0??3Nq509.58?10l011.15?=12.39﹤14,故取?s?1.0 h0.9e??se0?ys=13498.76+410=908.76mm
rf???b??b?h??400?100??162.5?=0.542
ffbh100?90022???h0???860??z??0.87?0.12?1?rf?????h0??0.87?0.12?1?0.542?????860=706mm
e908.76?????????????sq?Ng?e?z?Asz509.58?103??908.76?706???143.76N/mm2 1080?706