某地上5層公寓樓的框架內(nèi)力組合計(jì)算目錄TOC\o"1-3"\h\u17949某地上5層公寓樓的框架內(nèi)力組合計(jì)算 1205971.1梁控制截面內(nèi)力標(biāo)準(zhǔn)值 138701.2梁控制截面內(nèi)力不利組合 1319371.2.1梁端彎矩、剪力組合 1120181.2.2梁跨中彎矩組合 2325821.3柱控制截面內(nèi)力不利組合 743561.3.1柱端彎矩不利組合 7279781.3.2柱剪力不利組合 758641.3.3柱軸力不利組合 71.1梁控制截面內(nèi)力標(biāo)準(zhǔn)值在均布荷載作用下，梁支座邊緣處的彎矩值和剪力近似按下式進(jìn)行計(jì)算：，；在風(fēng)荷載作用下，按式,進(jìn)行計(jì)算?，F(xiàn)以第五層A截面彎矩為例計(jì)算：自重荷載：=-52.93×0.8+69.93×0.45/2=-26.61可變荷載：=-4.41×0.8-3.25×0.45/2=-4.26風(fēng)荷載：=7.33-1.91×0.45/2=6.90其余各截面計(jì)算過程與上面方法一樣。1.2梁控制截面內(nèi)力不利組合不考慮地震作用，則只進(jìn)行一般荷載組合。下面分別從梁端彎矩、剪力組合及梁跨中彎矩組合進(jìn)行計(jì)算。1.2.1梁端彎矩、剪力組合以第五層A截面梁端彎矩計(jì)算為例，計(jì)算如下：風(fēng)荷載控制：1.3×（-26.61）+1.5×0.7×（-4.26）+3.7×1.5=-30.931.3×（-26.61）+1.5×0.7×（-4.26）-3.7×1.5=-41.29活荷載控制：1.3×（-26.61）+1.5×（-4.26）+1.5×0.6×3.7=-34.791.3×（-26.61）+1.5×（-4.26）-1.5×0.6×3.7=-41.01.2.2梁跨中彎矩組合有風(fēng)荷載作用下梁跨中點(diǎn)的彎矩應(yīng)根據(jù)梁兩端彎矩計(jì)算，計(jì)算公式為：。此外由于梁跨中截面的剪力一般對(duì)配筋不起控制作用，未將其列出。現(xiàn)以第五層AB跨梁跨中彎矩計(jì)算為例，計(jì)算如下：風(fēng)荷載控制：1.3×76.38+1.5×0.7×2.328+1.05×1.5=95.411.3×76.38+1.5×0.7×2.328-1.05×1.5=92.47活荷載控制：1.3×76.38+1.5×2.328+1.5×0.6×1.05=95.801.3×76.38+1.5×2.328-1.5×0.6×1.05=94.03表6.1內(nèi)力轉(zhuǎn)換計(jì)算表樓層截面自重荷載標(biāo)準(zhǔn)值可變荷載標(biāo)準(zhǔn)值風(fēng)荷載標(biāo)準(zhǔn)值軸線處支座邊緣軸線處支座邊緣軸線處支座邊緣支座MVMVMVMVMMV5A-42.3469.93-26.6165.31-3.533.25-4.263.057.336.901.91B左-70.9677.88-53.4473.26-3.483.23-2.753.036.395.961.91B右-46.0127.38-39.8522.76-0.652.03-0.191.8310.048.785.584A-70.3687.55-50.6681.96-17.3122.78-14.2017.7819.0817.89-5.3B左-83.5691.22-63.0485.63-19.4623.37-14.2017.7819.0817.89-5.3B右-40.4423.06-35.2517.47-6.3410.13-4.064.543026.25-16.673A-69.0487.34-49.3981.75-17.3122.69-12.217.1030.9729.03-8.62B左-83.7691.43-63.1985.84-20.0623.46-14.7817.8731.0829.14-8.62B右-40.1323.06-34.9217.47-5.8910.13-3.614.5448.8542.74-27.142A-69.0487.34-49.3981.75-18.4122.84-13.2717.2543.0440.29-12.23B左-83.7691.43-63.1985.84-20.0923.31-14.8517.7244.9842.23-12.23B右-40.1323.06-34.9417.47-5.8910.13-3.594.5470.7261.88-39.211A-69.0487.34-49.3981.75-18.4122.84-13.2717.2548.4445.22-14.32B左-83.7691.43-63.1985.84-20.0923.31-14.8517.7254.6551.43-14.32B右-40.1323.06-34.9417.47-5.8910.13-3.594.5485.7174.97-47.730A-54.4485.27-35.2579.68-16.6222.68-11.5217.09B左-84.1193.51-63.0887.92-19.4723.47-14.1917.88B右-43.1723.06-37.9817.47-6.7310.13-4.454.54注：表中彎矩單位：；剪力單位：。表6.2梁端控制截面內(nèi)力組合表樓層截面恒荷載內(nèi)力可變荷載內(nèi)力風(fēng)荷載內(nèi)力1.3SGK±1.5SWK+1.5*0.7SQK1.3SGK±1.5SQK+1.5*0.6Swk左風(fēng)右風(fēng)左風(fēng)右風(fēng)MVMVMVMVMVMVMV5A-26.6165.31-4.263.056.901.91-28.7290.97-49.4285.24-34.7791.20-47.1987.76B左-53.4473.26-2.753.035.961.91-63.42101.28-81.3095.55-68.23101.50-78.9698.06B右-39.8522.76-0.191.838.785.58-38.8339.88-65.1723.14-44.1937.36-59.9927.314A-50.6681.96-12.1817.1917.89-5.30-51.81116.65-105.48132.55-68.03127.56-100.23137.10B左-63.0485.63-14.2017.7817.89-5.30-70.03122.04-123.70137.94-87.15133.22-119.35142.76B右-35.2517.47-4.064.5426.25-16.67-10.712.47-89.4652.48-28.2914.52-75.5444.523A-49.3981.75-12.2017.1029.03-8.62-33.47111.30-120.56137.16-56.38124.17-108.63139.68B左-63.1985.84-14.7817.8729.14-8.62-53.96117.43-141.38143.29-78.09130.64-130.54146.16B右-34.9217.47-3.614.5442.74-27.1414.92-13.23-113.3068.19-12.355.10-89.2853.952A-49.3981.75-13.2717.2540.29-12.23-17.71106.04-138.58142.73-47.85121.14-120.37143.16B左-63.1985.84-14.8517.7242.23-12.23-34.39111.85-161.08148.54-66.42127.17-142.43149.18B右-34.9217.47-3.594.5461.88-39.2143.65-31.34-141.9986.294.91-5.77-106.4764.811A-49.3981.75-13.2717.2545.22-14.32-10.31102.91-145.97145.87-43.41119.26-124.81145.04B左-63.1985.84-14.8517.7251.43-14.32-20.59108.72-174.88151.68-58.14125.28-150.71151.06B右-34.9217.47-3.594.5474.97-47.7363.29-44.12-161.6299.0716.69-20.60-118.2572.480A-35.2579.68-11.5217.09-57.92121.53-57.92121.53-63.11129.22-63.11129.22B左-63.0887.92-14.1917.88-96.90133.07-96.90133.07-103.29141.12-103.29141.12B右-37.9817.47-4.454.54-54.0527.48-54.0527.48-56.0529.52-56.0529.52注：表中彎矩單位：；剪力單位：。表6.3梁跨中彎矩內(nèi)力組合表樓層跨MW跨中彎矩計(jì)算MGKMQK1.3*MGK±1.5*Mwk+1.5*0.7+MQK1.3*MGK+1.5*MQK+1.5*0.7±MWKMW左MW右MW中左風(fēng)右風(fēng)左風(fēng)右風(fēng)5AB、CD跨7.336.390.4776.382.328102.4434101.0334103.209102.363BC跨10.0410.040.0021.371.1729.009529.009529.53629.5364AB、CD跨19.0819.080.0083.9423.15133.4295133.4295143.847143.847BC跨30300.0019.692.7728.505528.505529.75229.7523AB、CD跨30.9731.080.0684.522.85133.9325133.7525144.179144.071BC跨48.8548.850.0019.383.2228.57528.57530.02430.0242AB、CD跨43.0444.981.9484.5122.29136.1775130.3575145.044141.552BC跨70.7270.720.0019.383.2428.59628.59630.05430.0541AB、CD跨48.4454.653.1184.5122.29137.9325128.6025146.097140.499BC跨85.7185.910.1019.383.2428.74628.44630.14429.964-1AB、CD跨000.0091.6223.49143.7705143.7705154.341154.341BC跨000.0022.422.3831.64531.64532.71632.716注：表中彎矩單位：。1.3柱控制截面內(nèi)力不利組合每一柱框架柱的控制截面為柱頂截面和柱底截面。不同內(nèi)力組合時(shí)，采用對(duì)稱配筋進(jìn)行計(jì)算并選取絕對(duì)值較大的彎矩。按式計(jì)算截面處彎矩，現(xiàn)以第五層1-1截面為例計(jì)算：恒荷載：=52.93-29.67×0.6/2=44.03可變荷載：=4.41-4.09×0.6/2=3.18風(fēng)荷載：=4.16-3.48×0.6/2=3.12其余各截面計(jì)算過程同上。1.3.1柱端彎矩不利組合柱端彎矩的不利組合考慮下列三種情況，以第五層1-1截面為例，計(jì)算如下：風(fēng)荷載控制：1.3×44.03+1.5×0.7×3.18+（-3.12）×1.5=51.58441.3×44.03+1.5×0.7×3.18-（-3.12）×1.5=60.3204活荷載控制：1.3×44.03+1.5×3.18+1.5×0.6×（-3.12）=54.66721.3×44.03+1.5×3.18-1.5×0.6×（-3.12）=59.9088其余各柱柱端彎矩計(jì)算方法與上面一樣。1.3.2柱剪力不利組合柱剪力的不利組合考慮下列三種情況計(jì)算如下：風(fēng)荷載控制：1.3V±1.5V+1.5×0.7V活荷載控制：1.3V+1.5V±1.5×0.6V1.3.3柱軸力不利組合柱軸力的不利組合考慮下列三種情況計(jì)算如下：風(fēng)荷載控制：1.3N±1.5N+1.5×0.7N活荷載控制：1.3N+1.5N±1.5×0.6N表6.4柱內(nèi)力轉(zhuǎn)換計(jì)算表樓層截面自重荷載可變荷載風(fēng)荷載M()V()M()M()V()M()M()V()M()51-131-3152.9329.6744.034.414.093.184.163.483.122-232-3244.9729.6736.079.14.097.877.333.486.2943-333-3342.0325.7234.3112.536.5510.5710.467.698.154-434-3442.8525.7235.139.16.557.1414.927.6912.6135-535-3543.4226.1435.5812.537.2610.3517.6111.5514.156-636-3642.8526.1435.0111.427.269.2420.5111.5517.0527-737-3743.4220.1435.5812.537.2610.3525.4315.4120.818-838-3842.8526.1435.5812.537.2610.3525.4315.4120.8119-939-3943.4228.1734.9711.427.429.1940.5519.2634.7710-1040-4049.5428.1741.0913.087.4210.8523.0119.2617.29041-4147-4728.811.0825.487.692.966.842-4248-4814.411.0811.083.852.962.96511-1121-2131.217.5425.943.523.182.5713.445.5711.7712-1222-2226.6717.5421.416.973.186.0216.435.5714.76413-1323-2327.2416.4522.319.425.547.7630.3612.3126.6714-1424-2427.0416.4522.118.855.547.1935.6412.3131.95315-1525-2527.5196.5322.558.855.367.2449.5718.4944.0216-1626-2627.0416.5322.088.835.367.2249.5718.4944.02217-1727-2727.5116.5322.558.855.367.2449.5718.4944.0218-1828-2827.0416.5322.088.835.367.2266.1324.6758.73119-1929-2927.5117.7822.188.835.687.1390.9730.8681.7120-2030-3031.1617.7825.839.95.688.2074.4330.8665.17043-4345-4520.057.7117.746.032.325.3344-4446-4610.037.717.723.022.322.324表6.5柱端彎矩組合表（單位：）柱名樓層截面MGKMQKMWK1.3*MG±1.5*Mwk+1.5*0.7+MQK1.3*MGK+1.5*MQK+1.5*0.7±MWK左風(fēng)右風(fēng)左風(fēng)右風(fēng)AB、CD柱51—144.033.183.1265.2655.9064.8258.732—236.077.876.2964.5945.7264.3652.0943—334.3110.578.1567.9343.4867.7951.904—435.137.1412.6172.0834.2567.7343.1435—535.5810.3514.1578.3535.9074.5146.926—635.019.2417.0580.7929.6474.7241.4727—735.5810.3520.8188.3425.9180.5139.938—835.019.2420.8186.4324.0078.1037.5219—934.979.1934.77107.272.9690.5422.7410—1041.0910.8517.2990.7438.8785.2551.54-141—4125.486.8040.2640.2643.3243.3242—4211.082.9617.5117.5118.8418.84BC柱511—1125.942.5711.7754.0818.7748.1725.2212—1221.416.0214.7656.2912.0150.1521.37413—1322.317.7626.6777.16-2.8564.6512.6414—1422.117.1931.9584.22-11.6368.285.98315—1522.557.2444.02102.95-29.1179.79-6.0516—1622.087.2244.02102.32-29.7579.15-6.69217—1722.557.2458.73125.01-51.1893.03-21.4918—1822.087.2258.73124.38-51.8192.39-22.13119—1922.187.1381.71158.89-86.24113.07-46.2720—2025.838.2065.17139.94-55.57104.53-22.55-143—4317.745.3328.6628.6631.0631.0644—447.722.3212.4712.4713.5213.52表6.6柱剪力組合表（單位：）柱名樓層VGKVQKVWK風(fēng)荷載控制活荷載控制左風(fēng)右風(fēng)左風(fēng)右風(fēng)AD柱529.674.093.0847.485538.245547.47841.934425.726.557.6951.848528.778550.18236.34326.147.2611.5558.9324.2855.26734.477226.1412.5315.4170.253524.023566.64638.908128.177.4219.2673.30215.52265.08530.417-111.082.9617.51217.51218.84418.844BC柱517.543.185.5734.49617.78632.58522.559416.455.5412.3145.6678.73740.77418.616316.535.3618.4954.852-0.61846.1712.888216.535.3624.6764.122-9.88851.7327.326117.785.6830.8675.368-17.21259.4083.86-17.712.3212.45912.45913.50313.503表6.7柱軸力組合表（單位：）柱名樓層NGKNQKNWK風(fēng)荷載控制活荷載控制左風(fēng)右風(fēng)左風(fēng)右風(fēng)NAD柱上端5136.135.05-1.91179.41192.16182.83186.26189.084287.5335.03-7.21399.76771.58419.85432.82424.953438.7264.87-15.83614.702187.69653.39681.89660.392589.9194.91-28.06824.454961.38883.99934.50896.031741.1124.95-42.381031.069303.661112.711189.001131.68-1861.03154.831281.911119.341351.581351.581324.96BC柱上端5149.768.5-3.67198.11243.82204.14210.74211.104344.6856.5