车站结构设计2

姓名：学号：班级：

车 站 结 构 设 计

李育昕 20120196

茅院(土木)2012-02班

目录

1 问题重述 ............................................................................................................................... 3 2.结构计算 ................................................................................................................................ 4 2.1垂直荷载 ......................................................................................................................... 4 2.2 侧向荷载 ........................................................................................................................ 4 2.3水浮力 ............................................................................................................................. 5 2.4弹簧取值 ......................................................................................................................... 5 2.5纵梁荷载 ......................................................................................................................... 5 3.计算说明 ................................................................................................................................ 5 3.1总体构想 ......................................................................................................................... 5 4. 标准截面配筋计算 ............................................................................................................ 16 4.1车站顶板上缘的配筋计算 ........................................................................................... 16 4.2对应配筋图： ............................................................................................................... 19 4.3中柱配筋计算 ............................................................................................................... 22 4.2纵梁上缘配筋计算 ....................................................................................................... 23 4.3纵梁下缘配筋计算 ....................................................................................................... 24

1 问题重述

某地铁隧道采用明挖法施工，结构为框架结构。车站埋深4m，地下水位距地面2m，纵向柱间距8m，隧道顶板覆土为砂性土，其天然重度为γ=17.5kN/m3,路面荷载为20kN/m3(超载系数1.1)。地层弹反力系数为300MPa/m，土的饱和重度为γsat=19.5kN/m3,(实际土层中采用多层土进行计算，可以采用加权平均的物理系数，本题拟定γ加=γsat)钢筋混凝土重度γ

3

co=25kN/m,不考虑人防荷载，土壤内摩擦角30，车站结构横断面尺寸如图所示(若考虑，则顶板人防荷载为147kN/m3，侧墙人防荷载为78.4kN/m3,超载系数为1.2)

表1.1 荷载组合表

组合1.002.003.004.005.00 本题采用组合1。

永久荷载1.351.001.001.351.35可变荷载1.401.000.001.401.40水土压力1.351.001.001.351.35水浮力1.351.001.000.000.50人防荷载0.000.001.000.000.00地震荷载0.000.000.000.000.00

表1.2 垂直土压力各物理指标 地层名称①中粗砂②粉质黏土③粉质黏土

重度γ/(kN/m3)18.819.219.6内摩擦角φ/°2616.320.8内聚力/kPa018202.结构计算

2.1垂直荷载

(1)顶板垂直荷载。顶板垂直压力由路面活载及垂直土压力组成。

路面均布荷载取：

q1201.122kPa

垂直土压力为：

q2rhii217.5219.574kPa

人防荷载：

q3

顶板垂直荷载设计值：

1471.218.41176.4kPa

18.41q顶板q11.4q21.35q30130.7kPa

(2)中板垂直荷载。其设计值为：

q中板=1.4(4+8)=16.8kPa

2.2 侧向荷载

侧土压力的大小与墙体的变形情况有关，在主动土压力和被动土压力之间变化，在使用阶段取静止土压力进行计算。

一般土压力的计算方法有两种：水土分算与水土合算。采用水土分算时是将地下水以下土的压力和水压力叠加，而水压一般取得都是全水头；水土合算时，采用地下水位以下的土的重度，只考虑土压的作用。实际情况下，砂土采用水土分算，而粘性土进行水土合算的办法。

本结构地下水位于结构上部，采用水土合算，为了简化，对各层土的重度以及内摩擦角进行加权，得：

γ加=γsat=19.5kN/m3

φ=30°

侧压力系数：

tan2(45)0.333

2侧墙顶板处侧压力：

e1(q1q2q3)90.7092kPa

侧墙底板处侧压力：

e2e1加h90.709219.5(12.50.50.4)0.333177.7221kPa

侧墙顶板处侧向压力：

90.70921.35122.45742kPa

侧墙底板处侧向压力：

177.72211.35239.924835kPa

2.3水浮力

q水10kN/m3(8.16.80.5)1.35207.9kPa

2.4弹簧取值

弹簧连杆刚度大小可按下式进行计算。地层反力系数为300MPa/m3。

DiKSib

式中：

K——地层弹性反力系数

Si——与弹簧链杆单元对应的围岩长度 b——计算宽度，在此题中取b=1m

本次结构设计中与弹簧链杆单元对应的围岩长度分别为0.92m(底)和0.46m(侧)，计算宽度取1m，由以上计算公式可得弹簧单元的刚度如下式：

D1KS1b3000.921276MPamD2KS2b3000.461138MPam

2.5纵梁荷载

纵梁计算位置考虑荷载最不利位置，取纵梁两侧相邻顶板半跨荷载之和，即纵梁荷载为两个半跨顶板上部荷载及顶板自重之和。

顶板垂直荷载设计值：

q顶板q11.4q21.35q30130.7kPa

顶板自重：

25kN/m30.8m1m9.2mq020kPa

9.2m1m纵梁承受的荷载：

q总q顶板+q0150.7kPa

3.计算说明

3.1总体构想

本次计算采取有限元方法，并借助SAP2000进行内力的分析，首先将整体结构假想为框架结构，并随后为其指定截面属性与弹性支座等。

涉及到的结构以及截面指定与支撑情况如下图：

考虑到结构以及荷载的对称性，故结构在水平方向上并没有位移，对应支座反力u=0。

车站离散单元以及对应变形情况：

车站轴力分析：

车站剪力分析：

车站弯矩分析：

纵梁弯矩图：

纵梁剪力图：

表3.1 内力计算表

Frame Station OutputCase CaseType Text M Text Text 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0.55 1.1 1.1 1.65 2.2 2.2 2.75 3.3 3.3 3.85 4.4 4.4 4.95 5.5 5.5 6.05 6.6 6.6 7.15 7.7 7.7 8.25 8.8 8.8 9.35 9.9 D D D D D D D D D D D D D D D D D D D D D D D D D D D P KN V2 KN M3 KN-m LinStatic -758.4088707 769.6695933 801.4637447 LinStatic -758.4088707 655.3245933 409.5903434 LinStatic -758.4088707 540.9795933 80.60669205 LinStatic -758.4088707 182.5346283 80.60669205 LinStatic -758.4088707 68.18962829 11.65752149 LinStatic -758.4088707 -46.15537171 5.598100929 LinStatic -758.4088707 104.0022351 5.598100929 LinStatic -758.4088707 -10.3427649 -20.15825338 LinStatic -758.4088707 -124.6877649 16.97514232 LinStatic -758.4088707 110.5943117 16.97514232 LinStatic -758.4088707 -3.750688319 -12.40685411 LinStatic -758.4088707 -118.0956883 21.10089947 LinStatic -758.4088707 114.3866818 21.10089947 LinStatic -758.4088707 4.17E-02 -10.3669005 LinStatic -758.4088707 -114.3033182 21.05504953 LinStatic -758.4088707 121.6912687 21.05504953 LinStatic -758.4088707 7.346268689 -14.43027325 LinStatic -758.4088707 -106.9987313 12.97415397 LinStatic -758.4088707 140.6107122 12.97415397 LinStatic -758.4088707 26.26571215 -32.91686272 LinStatic -758.4088707 -88.07928785 -15.9181294 LinStatic -758.4088707 -0.328974275 -15.9181294 LinStatic -758.4088707 -114.6739743 15.70768145 LinStatic -758.4088707 -229.0189743 110.2232423 LinStatic -758.4088707 229.0189743 110.2232423 LinStatic -758.4088707 114.6739743 15.70768145 LinStatic -758.4088707 0.328974275 -15.9181294 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9.9 10.45 11 11 11.55 12.1 12.1 12.65 13.2 13.2 13.75 14.3 14.3 14.85 15.4 15.4 15.95 16.5 16.5 17.05 17.6 0 0.55 1.1 1.1 1.65 2.2 2.2 2.75 3.3 3.3 3.85 4.4 4.4 4.95 5.5 5.5 6.05 6.6 6.6 D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D LinStatic -758.4088707 88.07928785 -15.9181294 LinStatic -758.4088707 -26.26571215 -32.91686272 LinStatic -758.4088707 -140.6107122 12.97415397 LinStatic -758.4088707 106.9987313 12.97415397 LinStatic -758.4088707 -7.346268689 -14.43027325 LinStatic -758.4088707 -121.6912687 21.05504953 LinStatic -758.4088707 114.3033182 21.05504953 LinStatic -758.4088707 -4.17E-02 -10.3669005 LinStatic -758.4088707 -114.3866818 21.10089947 LinStatic -758.4088707 118.0956883 21.10089947 LinStatic -758.4088707 3.750688319 -12.40685411 LinStatic -758.4088707 -110.5943117 16.97514232 LinStatic -758.4088707 124.6877649 16.97514232 LinStatic -758.4088707 10.3427649 -20.15825338 LinStatic -758.4088707 -104.0022351 5.598100929 LinStatic -758.4088707 46.15537171 5.598100929 LinStatic -758.4088707 -68.18962829 11.65752149 LinStatic -758.4088707 -182.5346283 80.60669205 LinStatic -758.4088707 -540.9795933 80.60669205 LinStatic -758.4088707 -655.3245933 409.5903434 LinStatic -758.4088707 -769.6695933 801.4637447 LinStatic -1028.012589 -88.10970654 -187.021253 LinStatic -1028.012589 -78.86970654 -141.1019144 LinStatic -1028.012589 -69.62970654 -100.2645758 LinStatic -1028.012589 -69.62970654 -100.2645758 LinStatic -1028.012589 -60.38970654 -64.50923724 LinStatic -1028.012589 -51.14970654 -33.83589865 LinStatic -1028.012589 -51.14970654 -33.83589865 LinStatic -1028.012589 -41.90970654 -8.244560049 LinStatic -1028.012589 -32.66970654 12.26477855 LinStatic -1028.012589 -32.66970654 12.26477855 LinStatic -1028.012589 -23.42970654 27.69211714 LinStatic -1028.012589 -14.18970654 38.03745574 LinStatic -1028.012589 -14.18970654 38.03745574 LinStatic -1028.012589 -4.949706539 43.30079434 LinStatic -1028.012589 4.290293461 43.48213293 LinStatic -1028.012589 4.290293461 43.48213293 LinStatic -1028.012589 13.53029346 38.58147153 LinStatic -1028.012589 22.77029346 28.59881013 LinStatic -1028.012589 22.77029346 28.59881013 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 7.15 7.7 7.7 8.25 8.8 8.8 9.35 9.9 9.9 10.45 11 11 11.55 12.1 12.1 12.65 13.2 13.2 13.75 14.3 14.3 14.85 15.4 15.4 15.95 16.5 16.5 17.05 17.6 0 0.55 1.1 1.1 1.65 2.2 2.2 2.75 3.3 3.3 3.85 D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D LinStatic -1028.012589 32.01029346 13.53414872 LinStatic -1028.012589 41.25029346 -6.612512681 LinStatic -1028.012589 41.25029346 -6.612512681 LinStatic -1028.012589 50.49029346 -31.84117408 LinStatic -1028.012589 59.73029346 -62.15183549 LinStatic -1028.012589 -59.73029346 -62.15183549 LinStatic -1028.012589 -50.49029346 -31.84117408 LinStatic -1028.012589 -41.25029346 -6.612512681 LinStatic -1028.012589 -41.25029346 -6.612512681 LinStatic -1028.012589 -32.01029346 13.53414872 LinStatic -1028.012589 -22.77029346 28.59881013 LinStatic -1028.012589 -22.77029346 28.59881013 LinStatic -1028.012589 -13.53029346 38.58147153 LinStatic -1028.012589 -4.290293461 43.48213293 LinStatic -1028.012589 -4.290293461 43.48213293 LinStatic -1028.012589 4.949706539 43.30079434 LinStatic -1028.012589 14.18970654 38.03745574 LinStatic -1028.012589 14.18970654 38.03745574 LinStatic -1028.012589 23.42970654 27.69211714 LinStatic -1028.012589 32.66970654 12.26477855 LinStatic -1028.012589 32.66970654 12.26477855 LinStatic -1028.012589 41.90970654 -8.244560049 LinStatic -1028.012589 51.14970654 -33.83589865 LinStatic -1028.012589 51.14970654 -33.83589865 LinStatic -1028.012589 60.38970654 -64.50923724 LinStatic -1028.012589 69.62970654 -100.2645758 LinStatic -1028.012589 69.62970654 -100.2645758 LinStatic -1028.012589 78.86970654 -141.1019144 LinStatic -1028.012589 88.10970654 -187.021253 LinStatic -478.4672907 -631.962163 -768.547548 LinStatic -478.4672907 -549.077163 -443.7617334 LinStatic -478.4672907 -466.192163 -164.5626687 LinStatic -478.4672907 -466.192163 -164.5626687 LinStatic -478.4672907 -383.307163 69.04964593 LinStatic -478.4672907 -300.422163 257.0752106 LinStatic -478.4672907 -300.422163 257.0752106 LinStatic -478.4672907 -217.537163 399.5140252 LinStatic -478.4672907 -134.652163 496.3660899 LinStatic -478.4672907 -134.652163 496.3660899 LinStatic -478.4672907 -51.767163 547.6314045 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4.4 4.4 4.95 5.5 5.5 6.05 6.6 6.6 7.15 7.7 7.7 8.25 8.8 8.8 9.35 9.9 9.9 10.45 11 11 11.55 12.1 12.1 12.65 13.2 13.2 13.75 14.3 14.3 14.85 15.4 15.4 15.95 16.5 16.5 17.05 17.6 0 1.25 1.25 D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D LinStatic -478.4672907 31.117837 LinStatic -478.4672907 31.117837 LinStatic -478.4672907 114.002837 LinStatic -478.4672907 196.887837 LinStatic -478.4672907 196.887837 LinStatic -478.4672907 279.772837 LinStatic -478.4672907 362.657837 LinStatic -478.4672907 362.657837 LinStatic -478.4672907 445.542837 LinStatic -478.4672907 528.427837 LinStatic -478.4672907 528.427837 LinStatic -478.4672907 611.312837 LinStatic -478.4672907 694.197837 553.3099692 553.3099692 513.4017838 427.9068485 427.9068485 296.8251631 120.1567278 120.1567278 -102.0984576 -369.9403929 -369.9403929 -683.3690782 -1042.384514 LinStatic -478.4672907 -694.197837 -1042.384514 LinStatic -478.4672907 -611.312837 -683.3690782 LinStatic -478.4672907 -528.427837 -369.9403929 LinStatic -478.4672907 -528.427837 -369.9403929 LinStatic -478.4672907 -445.542837 -102.0984576 LinStatic -478.4672907 -362.657837 120.1567278 LinStatic -478.4672907 -362.657837 120.1567278 LinStatic -478.4672907 -279.772837 296.8251631 LinStatic -478.4672907 -196.887837 427.9068485 LinStatic -478.4672907 -196.887837 427.9068485 LinStatic -478.4672907 -114.002837 513.4017838 LinStatic -478.4672907 -31.117837 LinStatic -478.4672907 -31.117837 LinStatic -478.4672907 51.767163 LinStatic -478.4672907 134.652163 LinStatic -478.4672907 134.652163 LinStatic -478.4672907 217.537163 LinStatic -478.4672907 300.422163 LinStatic -478.4672907 300.422163 LinStatic -478.4672907 383.307163 LinStatic -478.4672907 466.192163 LinStatic -478.4672907 466.192163 LinStatic -478.4672907 549.077163 LinStatic -478.4672907 631.962163 553.3099692 553.3099692 547.6314045 496.3660899 496.3660899 399.5140252 257.0752106 257.0752106 69.04964593 -164.5626687 -164.5626687 -443.7617334 -768.547548 LinStatic -631.962163 478.4672907 768.547548 LinStatic -631.962163 315.6065907 270.2120076 LinStatic -631.962163 315.6065907 270.2120076 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2.5 2.5 3.75 3.75 5 5 5.7 5.7 6.25 6.25 7.5 7.5 8.75 8.75 10 10 11.25 11.25 12.5 0 1.25 1.25 2.5 2.5 3.75 3.75 5 5 5.7 5.7 6.25 6.25 7.5 7.5 8.75 8.75 10 10 11.25 11.25 D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D LinStatic -631.962163 133.1679907 -12.31147039 LinStatic -631.962163 133.1679907 -12.31147039 LinStatic -631.962163 -67.62489055 -54.80543143 LinStatic -631.962163 -67.62489055 -54.80543143 LinStatic -631.962163 -279.4303405 161.0844057 LinStatic -631.962163 -279.4303405 161.0844057 LinStatic -631.962163 -402.3172059 399.5169745 LinStatic -720.0718695 625.6953827 586.5382275 LinStatic -720.0718695 526.987848 LinStatic -720.0718695 526.987848 LinStatic -720.0718695 295.604498 LinStatic -720.0718695 295.604498 269.4634784 269.4634784 -245.6764202 -245.6764202 LinStatic -720.0718695 54.43219803 -465.4690375 LinStatic -720.0718695 54.43219803 -465.4690375 LinStatic -720.0718695 -197.7526707 -377.4232655 LinStatic -720.0718695 -197.7526707 -377.4232655 LinStatic -720.0718695 -468.2918207 36.81517709 LinStatic -720.0718695 -468.2918207 36.81517709 LinStatic -720.0718695 -758.4088707 801.4637447 LinStatic -631.962163 -478.4672907 -768.547548 LinStatic -631.962163 -315.6065907 -270.2120076 LinStatic -631.962163 -315.6065907 -270.2120076 LinStatic -631.962163 -133.1679907 12.31147039 LinStatic -631.962163 -133.1679907 12.31147039 LinStatic -631.962163 67.62489055 54.80543143 LinStatic -631.962163 67.62489055 54.80543143 LinStatic -631.962163 279.4303405 -161.0844057 LinStatic -631.962163 279.4303405 -161.0844057 LinStatic -631.962163 402.3172059 -399.5169745 LinStatic -720.0718695 -625.6953827 -586.5382275 LinStatic -720.0718695 -526.987848 -269.4634784 LinStatic -720.0718695 -526.987848 -269.4634784 LinStatic -720.0718695 -295.604498 245.6764202 LinStatic -720.0718695 -295.604498 245.6764202 LinStatic -720.0718695 -54.43219803 465.4690375 LinStatic -720.0718695 -54.43219803 465.4690375 LinStatic -720.0718695 197.7526707 377.4232655 LinStatic -720.0718695 197.7526707 377.4232655 LinStatic -720.0718695 468.2918207 -36.81517709 LinStatic -720.0718695 468.2918207 -36.81517709 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6

12.5 0 1.25 1.25 2.5 2.5 3.75 3.75 5 5 5.7 5.7 6.25 6.25 7.5 7.5 8.75 8.75 10 10 11.25 11.25 12.5 D D D D D D D D D D D D D D D D D D D D D D D LinStatic -720.0718695 758.4088707 -801.4637447 LinStatic -1388.395674 -5.06E-12 LinStatic -1388.395674 -5.06E-12 LinStatic -1388.395674 -3.03E-12 LinStatic -1388.395674 -3.03E-12 LinStatic -1388.395674 -3.03E-12 LinStatic -1388.395674 -3.03E-12 LinStatic -1388.395674 -4.05E-12 LinStatic -1388.395674 -4.05E-12 LinStatic -1388.395674 0 LinStatic -1388.395674 0 LinStatic -1507.856261 4.05E-12 LinStatic -1507.856261 4.05E-12 LinStatic -1507.856261 6.07E-12 LinStatic -1507.856261 6.07E-12 LinStatic -1507.856261 8.09E-12 LinStatic -1507.856261 8.09E-12 LinStatic -1507.856261 1.01E-11 LinStatic -1507.856261 1.01E-11 LinStatic -1507.856261 8.09E-12 LinStatic -1507.856261 8.09E-12 LinStatic -1507.856261 7.08E-12 LinStatic -1507.856261 7.08E-12 -7.40E-12 -1.08E-12 -4.11E-12 -3.18E-13 8.22E-13 4.61E-12 4.93E-12 9.99E-12 1.15E-11 1.15E-11 2.47E-11 2.24E-11 2.14E-11 1.38E-11 1.15E-11 1.39E-12 3.29E-12 -9.35E-12 -9.04E-12 -1.92E-11 -1.97E-11 -2.86E-11 表3.2标准断面结构内力 构件 顶板上缘 顶板下缘 中板上缘 中板下缘 底板上缘 底板下缘 侧墙迎土面 侧墙背土弯矩/(kN·m) 1042.384514 553.3099692 187.021253 43.48213293 32.91686272 801.4637447 465.4690375 801.4637447 轴力/(kN) 478.4672907 478.4672907 1028.012589 1028.012589 758.4088707 758.4088707 631.962163 剪力/(kN) 694.197837 694.197837 88.10970654 88.10970654 769.6695933 769.6695933 758.4088707 尺寸b×h/mm×mm 1000×800 1000×800 1000×600 1000×600 1000×1000 1000×1000 1000×800 1000×800 720.0718695 625.6953827 面 上中柱 下中柱 纵梁上缘 纵梁下缘 0 0 916.8150044 515.2290796 1388.395674 0 1507.856261 0 657.3070187 ━ 657.3070187 ━

800×800 800×800 1000×800 1000×800 4.标准截面配筋计算

4.1车站顶板上缘的配筋计算

检算依据:

1.《公路桥涵设计通用规范》(JTG D60-2004)；

2.《公路钢筋混凝土及预应力混凝土桥涵设计规范》(JTG D62-2004) 已知条件:

钢筋混凝土偏心受压构件，截面尺寸b×h=1000mm×800mm,弯矩作用平面的计算长度11=4.5m垂直于弯矩作用平面的计算长度12=4.5m,轴向力设计值Nd=478.4672907KN，弯矩组合设计值Md=1042.384514KN·m，采用C40混凝土，纵向钢筋拉区采用HRB335级钢筋，纵向钢筋压区采用HRB335级钢筋，假设初始配筋拉压区混凝土均采用8φ25(As=As’=3928mm2) ’

fcd=18.4MPa, fsd=280MPa, f=280MPa, ξb= 0.56，重要性系数γ=1

sd

γMd1042.384514

初始偏心距e0===2178.6mm，

γNd478467.2907

’ ’

as=42mm，a=42mm，As=3928mm2，A=3928mm2，

ss

截面有效高度h0=h-a=758mm，弯矩增大系数η=1.008

s

h 800

轴向力到拉区钢筋重心的距离es=ηe0+-as=1.008×2178.6+-42=2554.029mm，

22h’ 800’

轴向力到压区钢筋重心的距离e=ηe0-+a=1.008×2178.6-+42=1838.029mm，

2s2s

（1）垂直于弯矩作用平面的截面复核

构件在垂直于弯矩作用平面上的长细比L2/b=4.5,查表或者直线内插得到φ=1，则可得到：

Nu=0.9φ[fbh+f(As+As’)]

cdsd

=0.9×1[18.4×1000×800+280(3928+3928)]=15227.712KN > γN=478.4672907KN

（2）弯矩作用平面的截面复核

先假定为大偏心受压，即取σ=f可以求出受压区高度x为：

ssd

2 x=(h0-es)+(h0-es) +2×K

’ ’ ’ fsdAses-fAe

280×3928×2554.029-280×3928×1838.029sdss

K===42798.122 18.4×1000fcdb

2(758-2554.029) +2×42798.122=24mm

x24

ξ===0.032< ξ，故：为大偏心受压构件

bh0758

’

2a=84mm， s

Mu’

则 x<2a则截面承载力为: Nu=

s’

es

’ ’ ’

其中： Mu=fA(h0-a)=280×3928×(758-42)=787485440N·mm，

sdss787485440

截面承载力Nu==428.44KN < γN=478.4672907KN， 承载力不满足要求！

1838.029

这时改换受拉区钢筋型号采用HRB400级钢筋，则已知变为：

钢筋混凝土偏心受压构件，截面尺寸b×h=1000mm×800mm,弯矩作用平面的计算长度11=4.5m垂直于弯矩作用平面的计算长度12=4.5m,轴向力设计值Nd=478.4672907KN，弯矩组合设计值Md=1042.384514KN·m，采用C40混凝土，纵向钢筋拉区采用HRB400级钢筋，纵向钢筋压区采用HRB335级钢筋， ’

f=18.4MPa, f=330MPa, f=280MPa, ξb= 0.56，重要性系数γ=1 cdsdsd

γMd1042.384514

初始偏心距e0===2178.6mm，

γNd478467.2907

’ ’

as=42mm，a=42mm，As=3928mm2，A=3928mm2，

ss

截面有效高度h0=h-a=758mm，弯矩增大系数η=1.008

s

h 800

轴向力到拉区钢筋重心的距离es=ηe0+-as=1.008×2178.6+-42=2554.029mm，

22h’ 800’

轴向力到压区钢筋重心的距离e=ηe0-+a=1.008×2178.6-+42=1838.029mm，

2s2s

（1）垂直于弯矩作用平面的截面复核

构件在垂直于弯矩作用平面上的长细比L2/b=4.5,查表或者直线内插得到φ=1，则可得到：

Nu=0.9φ[fcdbh+fsd(As+As’)]

=0.9×1[18.4×1000×800+280(3928+3928)]=15227.712KN > γN=478.4672907KN

（2）弯矩作用平面的截面复核

先假定为大偏心受压，即取σs=fsd可以求出受压区高度x为：

2 x=(h-e)+(h0-e)+2×K

0ss ’ ’ ’ fsdAses-fAe

330×3928×2554.029-280×3928×1838.029sdss

K===70059.605 18.4×1000fcdb

2x=(758-2554.029)+(758-2554.029) +2×70059.605=39mm

x39

ξ===0.051< ξb，故：为大偏心受压构件

h0758’

2a=84mm， sx=(758-2554.029)+

Mu’

则 x<2a则截面承载力为: Nu=

s’

es

’ ’ ’

其中： Mu=fA(h0-a)=330×3928×(758-42)=928107840N·mm，

sdss928107840

截面承载力Nu==504.947KN > γN=478.4672907KN ， 承载力满足要求！

1838.029

同理，其他截面可得： 截面位置 配筋过程 尺寸b×h 弯矩设计值/(kN·m） 轴力设计值/kN 偏心距e0/mm 偏心距增大系数η 判断大小偏心 受压钢筋面积As'/mm2 受压区钢筋型号 数量及截面直径/mm 受拉钢筋面积As/mm2 受拉区钢筋型号 数量及截面直径/mm 裂缝宽度验算wmax/mm 顶板上缘 1000×800 顶板下缘 1000×800 中板上缘 1000×600 187.021253 中板下缘 1000×600 43.48213293 1042.384514 553.3099692 478.4672907 478.4672907 2178.6 1.008 大偏心 3982 HRB335 8φ25 3982 HRB400 8φ25 0.0966 1156.4 1.015 大偏心 1520 HRB335 4φ22 2280 HRB335 6φ22 0.1673 1028.012589 1028.012589 181.9 1.124 大偏心 1016 HRB335 4φ18 1016 HRB335 4φ18 0.0753 42.3 1.215 小偏心 1256 HRB335 4φ20 1256 HRB335 4φ20 0.009 截面位置 配筋过程 尺寸b×h 弯矩设计值/(kN·m） 轴力设计值/kN 偏心距e0/mm 偏心距增大系数η 判断大小偏心 受压钢筋面积底板上缘 1000×1000 底板下缘 1000×1000 侧墙迎土面 1000×800 侧墙背土面 1000×800 32.91686272 801.4637447 758.4088707 758.4088707 43.4 1.103 小偏心 1018 1056.8 1.013 大偏心 3928 465.4690375 801.4637447 631.962163 736.5 1.03 大偏心 3928 720.0718695 1113 1.015 大偏心 4910 As'/mm2 受压区钢筋型号 数量及截面直径/mm 受拉钢筋面积As/mm2 受拉区钢筋型号 数量及截面直径/mm 裂缝宽度验算wmax/mm

HRB335 4φ18 1018 HRB335 4φ18 0.0787 HRB335 8φ25 2660 HRB335 8φ22 0.1997 HRB335 8φ25 3928 HRB335 8φ25 0.1784 HRB335 8φ28 4928 HRB335 10φ25 0.1874 4.2对应配筋图：

顶板上缘：

顶板下缘：

中板上缘：中板下缘：底板上缘：

底板下缘： 侧墙迎土面：

侧墙背土面：

4.3中柱配筋计算

中柱尺寸800×800，轴力设计值1507.856261kN，混凝土等级C40，

fc19.1N/mm2,ftk2.39N/mm2，采用Ⅱ级钢筋

(fyfy'300N/mm2,Es2105N/mm2)

N0.9(fcAfy'As')

l0/b6800/8008.5

故取φ=0.995(线性插值) 因此柱的配筋：

As'N/0.9fcA1507.856261/(0.90.995)-19.18008000

f'y300As'minbh0.0028008001280mm2

故采用构造配筋：

纵筋采用6φ18(As'1526mm2)。箍筋采用φ8@250. 中柱配筋图：

4.2纵梁上缘配筋计算

纵梁上缘b×h=1000×800，弯矩设计值M=916.8150044kN·m，混凝土等级C40

asM0.117 21fcbh0112as0.1248b0.55

故可按单筋矩形梁配筋：

则： s=0.5(112as)0.9376

As选用9φ25，As=4418mm

2Mfysh04404.6mm2

所以非超筋

Asfy44183000.116b bhfc100080014.3所以非少筋

纵梁上缘配筋图：

As0.552%min0.2% bh

4.3纵梁下缘配筋计算

纵梁下缘b×h=1000×800，弯矩设计值M=515.2290796kN·m，混凝土等级C40，采用二级钢筋，as=60mm

2

同理可得选用5φ25，As=2455mm,验算符合要求。 纵梁下缘配筋图: