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某六層教學(xué)樓的建筑結(jié)構(gòu)框架內(nèi)力組合計(jì)算案例目錄TOC\o"1-3"\h\u18428某六層教學(xué)樓的建筑結(jié)構(gòu)框架內(nèi)力組合計(jì)算案例 1173321.1彎矩調(diào)幅(Bendingmomentamplitudemodulation) 1130521.2內(nèi)力組合(Internalforcecombination) 31.1彎矩調(diào)幅(Bendingmomentamplitudemodulation)在豎向荷載作用下,可考慮框架梁端塑性變形產(chǎn)生的內(nèi)力重分布,對(duì)梁端負(fù)彎矩乘以調(diào)幅系數(shù)進(jìn)行調(diào)幅,并應(yīng)符合下列規(guī)定:(1)現(xiàn)澆框架梁端負(fù)彎矩調(diào)幅系數(shù)β可取為0.8-0.9QUOTE0.8~0.9,調(diào)幅后彎矩;MM式中Ml0、M(2)框架梁端負(fù)彎矩調(diào)幅后,梁跨中彎矩應(yīng)按平衡條件相應(yīng)增大調(diào)幅后跨中彎矩可按下列公式計(jì)算:M=式中M0Ml0、MM彎矩調(diào)幅后梁跨中彎矩標(biāo)準(zhǔn)值。(3)對(duì)豎向荷載作用下框架梁的彎矩調(diào)幅后,再與水平作用產(chǎn)生的框架梁彎矩進(jìn)行組合;(4)截面設(shè)計(jì)時(shí),框架梁跨中截面正彎矩設(shè)計(jì)值不應(yīng)小于豎向荷載作用下按簡支梁計(jì)算的跨中彎矩設(shè)計(jì)值的50%?!痘炷两Y(jié)構(gòu)設(shè)計(jì)規(guī)范》(GB50010-2010,2015版)中第5.4.3條規(guī)定,按考慮塑性內(nèi)力重分布分析方法設(shè)計(jì)的結(jié)構(gòu)和構(gòu)件,鋼筋混凝土梁支座或節(jié)點(diǎn)邊緣截面的負(fù)彎矩調(diào)幅幅度不應(yīng)大于25%;彎矩調(diào)整后的梁端截面相對(duì)受壓區(qū)高度不應(yīng)超過0.35,且不宜小于0.10。鋼筋混凝土板的負(fù)彎矩調(diào)幅幅度不宜大于20%。取β=0.85對(duì)梁進(jìn)行調(diào)幅,調(diào)幅計(jì)算過程見表6-1、6-2、6-3。表6-1恒載作用下框架梁彎矩調(diào)幅計(jì)算Table6-1CalculationofAmplitudeModulationofFrameBeamBendingMomentunderDeadLoad桿件跨向彎矩標(biāo)準(zhǔn)值(kN?m)調(diào)幅系數(shù)調(diào)幅后彎矩標(biāo)準(zhǔn)值(kN?m)MMMβMMM頂層AB-62.07-73.3391.850.85-52.76-62.33102.01BC-18.27-18.27-3.110.85-15.53-15.53-0.37五層AB-64.69-67.4467.530.85-54.99-57.3277.44BC-10.37-10.372.420.85-8.81-8.813.98四層AB-61.24-66.2669.830.85-52.05-56.3279.39BC-11.53-11.531.260.85-9.80-9.802.99三層AB-62.12-66.0969.490.85-52.80-56.1879.11BC-11.29-11.291.500.85-9.60-9.603.19二層AB-62.06-66.5969.260.85-52.75-56.6078.91BC-11.26-11.261.530.85-9.57-9.573.22一層AB-60.94-65.8470.20.85-51.80-55.9679.71BC-11.72-11.721.060.85-9.96-9.962.82表6-2活載作用下框架梁彎矩調(diào)幅計(jì)算Table6-2CalculationofAmplitudeModulationofFrameBeamBendingMomentunderLiveLoad桿件跨向彎矩標(biāo)準(zhǔn)值(kN?m)調(diào)幅系數(shù)調(diào)幅后彎矩標(biāo)準(zhǔn)值(kN?m)MMMβMMM頂層AB-5.71-5.786.620.85-4.85-4.917.48BC-0.89-0.89-0.230.85-0.76-0.76-0.10五層AB-25.63-28.1234.870.85-21.79-23.9038.90BC-6.45-6.451.420.85-5.48-5.482.39四層AB-26.17-28.9934.180.85-22.24-24.6438.32BC-6.26-6.261.160.85-5.32-5.322.10三層AB-26.3-28.2834.450.85-22.35-24.0438.54BC-6.24-6.241.630.85-5.30-5.302.57二層AB-26.18-28.9934.170.85-22.25-24.6438.31BC-6.25-6.251.620.85-5.31-5.312.56一層AB-25.6-28.6934.610.85-21.76-24.3938.68BC-6.44-6.441.430.85-5.47-5.472.40表6-30.5(雪+活)作用下框架梁彎矩調(diào)幅計(jì)算桿件跨向彎矩標(biāo)準(zhǔn)值(kN?m)調(diào)幅系數(shù)調(diào)幅后彎矩標(biāo)準(zhǔn)值(kN?m)MMMβMMM頂層AB-2.23-2.112.210.85-1.90-1.792.54BC-0.24-0.240.160.85-0.20-0.200.20五層AB-12.66-14.2817.410.85-10.76-12.1419.43BC-3.24-3.240.700.85-2.75-2.751.19四層AB-13.08-14.5117.090.85-11.12-12.3319.16BC-3.12-3.120.820.85-2.65-2.651.29三層AB-13.06-14.3817.190.85-11.10-12.2219.24BC-3.12-3.120.820.85-2.65-2.651.29二層AB-13.09-14.517.080.85-11.13-12.3319.15BC-3.12-3.120.820.85-2.65-2.651.29一層AB-12.8-14.3417.340.85-10.88-12.1919.38BC-3.22-3.220.720.85-2.74-2.741.20Table6-30.5(snowload+liveload)framebeambendingmomentamplitudemodulationcalculation1.2內(nèi)力組合(Internalforcecombination)1.無地震作用效應(yīng)組合(一般荷載組合)對(duì)于一般的框架結(jié)構(gòu),基本組合可采用簡化規(guī)則,取下列組合值中的最不利值:(1)由可變荷載效應(yīng)控制的組合:S(2)由永久荷載效應(yīng)控制的組合:S式中γG1)當(dāng)永久荷載效應(yīng)對(duì)結(jié)構(gòu)不利時(shí),對(duì)由可變荷載效應(yīng)控制的組合應(yīng)取1.3;2)當(dāng)永久荷載效應(yīng)對(duì)結(jié)構(gòu)有利時(shí),不應(yīng)大于1.0。γQ1第i個(gè)可變荷載的分項(xiàng)系數(shù),其中γQSkGjSQikφcj按第i個(gè)可變荷載m參與組合的永久荷載數(shù);n參與組合的可變荷載數(shù);γL2.有地震作用效應(yīng)組合有地震作用效應(yīng)組合時(shí),應(yīng)按下式計(jì)算:S=式中S結(jié)構(gòu)構(gòu)件內(nèi)力組合的設(shè)計(jì)值;γGγEh、γγWSGESEhkSEvkSWkφW表6-4地震作用分項(xiàng)系數(shù)Table6-4Partialcoefficientofearthquakeaction地震作用γγ僅計(jì)算水平地震作用1.30僅計(jì)算豎向地震作用01.3同時(shí)計(jì)算水平與豎向地震作用(水平地震為主)1.30.5同時(shí)計(jì)算水平與豎向地震作用(豎向地震為主)0.51.3根據(jù)上述規(guī)定,確定如下基本組合公式:(1)當(dāng)只考慮重力荷載作用時(shí)由可變荷載效應(yīng)控制的組合:S(2)當(dāng)考慮重力荷載和風(fēng)荷載共同作用時(shí):SS(3)僅計(jì)算水平地震作用當(dāng)重力荷載效應(yīng)對(duì)構(gòu)件承載能力不利時(shí):S=1.2[當(dāng)重力荷載效應(yīng)對(duì)構(gòu)件承載能力有利時(shí):S=1.0[上述公式中,SK由可變荷載效應(yīng)控制的組合:3.內(nèi)力組合計(jì)算表見78頁到89頁,為框架梁、柱內(nèi)力組合表。層次跨向截面內(nèi)力荷載種類1.3×1.3×1.3×1.2[1.0[SS0.5(SK+SSS左風(fēng)右風(fēng)左風(fēng)右風(fēng)左震右震左震右震左風(fēng)右風(fēng)左震右震6AB跨梁左端M-52.76-4.85-1.902.79-2.7941.16-41.16-75.86-69.50-77.87-73.35-78.37-12.08-119.10-1.15-108.17V59.174.271.53-0.700.70-10.3410.3483.3380.3582.4582.7083.9659.4086.2847.2674.14跨中M102.017.482.540.26-0.263.91-3.91143.83140.86140.08144.07143.60130.54120.38109.6399.47梁右端M-62.33-4.91-1.79-2.272.27-33.3433.34-88.39-89.59-82.78-90.44-86.35-120.29-33.60-107.46-20.78V-62.29-4.29-1.49-0.700.70-10.3410.34-87.41-86.53-84.43-88.04-86.78-89.98-63.09-77.22-50.34BC跨梁左端M-15.53-0.76-0.201.16-1.1623.65-23.65-21.33-19.25-22.73-20.29-22.3711.87-49.6215.02-46.48V16.171.120.40-1.071.07-15.7715.7722.7020.5923.8021.7423.66-0.6240.39-3.9337.07跨中M-0.37-0.100.200.000.000.000.00-0.63-0.59-0.59-0.63-0.63-0.20-0.20-0.17-0.17梁右端M-15.53-0.76-0.20-1.161.16-23.6523.65-21.33-22.73-19.25-22.37-20.29-49.6211.87-46.4815.02V-16.17-1.12-0.40-1.071.07-15.7715.77-22.70-23.80-20.59-23.66-21.74-40.390.62-37.073.93表6-5框架梁、柱內(nèi)力組合表Table6-5Framebeamandcolumninternalforcecombinationtable層次跨向截面內(nèi)力荷載種類1.3×1.3×1.3×1.2[1.0[SS0.5(SK+SSS左風(fēng)右風(fēng)左風(fēng)右風(fēng)左震右震左震右震左風(fēng)右風(fēng)左震右震5AB跨梁左端M-54.99-21.79-10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