某教學(xué)樓建筑結(jié)構(gòu)中的內(nèi)力組合計(jì)算案例目錄TOC\o"1-3"\h\u2547某教學(xué)樓建筑結(jié)構(gòu)中的內(nèi)力組合計(jì)算案例 1253401.1.彎矩調(diào)幅 1299531.2.內(nèi)力轉(zhuǎn)換 230801.3.內(nèi)力組合 5128991.3.1.荷載基本組合 5176461.3.2.控制截面及最不利布置 5257691.3.3.橫向框架梁內(nèi)力組合 717491.3.4.橫向框架柱內(nèi)力組合 11框架結(jié)構(gòu)在恒荷載、屋面活荷載、樓面活荷載、風(fēng)荷載、地震作用下的內(nèi)力求出以后，要計(jì)算出框架梁柱各控制截面上可能發(fā)生的最不利內(nèi)力，并以此作為計(jì)算梁柱配筋的依據(jù)。彎矩調(diào)幅為了減小支座處負(fù)鋼筋的數(shù)量，方便鋼筋的綁扎與混凝土的澆搗；同時(shí)為了充分利用鋼筋，已達(dá)到節(jié)約鋼筋的目的。在內(nèi)力組合前將豎向荷載作用下支座處梁端負(fù)彎矩調(diào)幅，調(diào)幅系數(shù)可取0.8-0.9，本工程取0.85.恒載作用下梁端彎矩調(diào)幅層號(hào)梁類型軸線處梁端彎矩跨中彎矩調(diào)幅后梁端彎矩M0'調(diào)幅后跨中彎矩左右左右5AB-68.97-84.7867.92-58.62-72.0682.3582.35BC-22.460.84-9.15-19.090.71-7.35-7.354AB-57.39-58.1528.29-48.78-49.4338.6838.68BC-3.59-2.230.07-3.05-1.900.560.563AB-52.89-55.7731.73-44.96-47.4041.6041.60BC-5.48-2.40-0.96-4.66-2.04-0.31-0.312AB-53.05-55.8431.61-45.09-47.4641.5041.50BC-5.43-2.33-0.90-4.62-1.98-0.26-0.261AB-50.37-54.5533.60-42.81-46.3743.1943.19BC-6.61-3.34-1.99-5.62-2.84-1.19-1.19活載作用下梁端彎矩調(diào)幅層號(hào)梁類型軸線處梁端彎矩跨中彎矩調(diào)幅后梁端彎矩M0'調(diào)幅后跨中彎矩左右左右5AB-19.01-22.8716.85-16.16-19.4420.7520.75BC-5.320.85-2.24-4.520.72-1.76-1.764AB-28.31-30.5017.79-24.06-25.9323.1423.14BC-3.480.95-1.27-2.960.81-0.92-0.923AB-28.00-30.3718.01-23.80-25.8123.3323.33BC-3.580.97-1.31-3.040.82-0.95-0.952AB-28.12-30.4217.92-23.90-25.8623.2523.25BC-3.540.98-1.28-3.010.83-0.92-0.921AB-26.04-29.4419.45-22.13-25.0224.5624.56BC-4.540.73-1.91-3.860.62-1.50-1.50內(nèi)力轉(zhuǎn)換結(jié)構(gòu)受力分析所得內(nèi)力是構(gòu)件軸線處的內(nèi)力，而梁支座截面是指柱邊緣處梁端截面，柱上端控制截面在上層的梁底，柱下端控制截面在下層的梁頂。內(nèi)力組合時(shí)應(yīng)將各種荷載作用下梁柱軸線的彎矩值和剪力值換算到梁柱邊緣處，再進(jìn)行內(nèi)力組合。梁支座邊緣處的彎矩為：M式中：MkVkb-支座寬度。剪力計(jì)算值也應(yīng)按支座邊緣處計(jì)算（均布荷載）:V式中：Vkqkb-支座寬度。柱上端控制截面在上層的梁底，柱下端控制截面在下層的梁頂，為簡(jiǎn)化計(jì)算，也可采用軸線處的內(nèi)力值，故不再調(diào)整。符號(hào)規(guī)定：柱彎矩以順時(shí)針為正，逆時(shí)針為負(fù)；梁、柱軸力以受壓為正，受拉為負(fù)；梁、柱剪力以順時(shí)針方向?yàn)檎鏁r(shí)針方向?yàn)樨?fù)；梁彎矩以下部受拉為正，上部受拉為負(fù)。內(nèi)力轉(zhuǎn)換層數(shù)跨截面內(nèi)力恒荷載標(biāo)準(zhǔn)值活載標(biāo)準(zhǔn)值左風(fēng)荷載標(biāo)準(zhǔn)值右風(fēng)荷載標(biāo)準(zhǔn)值左向地震作用標(biāo)準(zhǔn)值右向地震作用標(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軸線處支座邊緣軸線處支座邊緣軸線處支座邊緣5AB梁左M-58.62-38.21-16.16-10.824.594.30-4.59-4.3044.0241.20-44.02-41.20V81.6575.5721.3519.76-1.18-1.181.181.18-11.27-11.2711.2711.27梁右M-72.06-50.50-19.44-13.82-3.53-3.243.533.24-33.72-30.9033.7230.90V-86.23-80.15-22.47-20.88-1.18-1.181.181.18-11.27-11.2711.2711.27BC梁左M-19.09-16.21-4.52-3.932.772.10-2.77-2.1026.4720.37-26.47-20.37V11.5211.032.372.37-2.67-2.672.672.67-24.39-24.3924.3924.39梁右M0.712.310.721.31-4.16-3.494.163.49-36.95-30.8536.9530.85V6.406.892.372.37-2.67-2.672.672.67-24.39-24.3924.3924.394AB梁左M-48.78-36.34-24.06-17.3012.6411.83-12.64-11.8392.6386.71-92.63-86.71V49.7846.1727.0425.06-3.26-3.263.263.26-23.70-23.7023.7023.70梁右M-49.43-36.93-25.93-19.01-9.83-9.029.839.02-70.91-64.9970.9164.99V-50.00-46.39-27.68-25.70-3.26-3.263.263.26-23.70-23.7023.7023.70BC梁左M-3.05-1.77-2.96-2.547.736.00-7.73-6.0055.7242.89-55.72-42.89V5.114.231.701.70-6.94-6.946.946.94-51.32-51.3251.3251.32梁右M-1.90-0.880.811.24-10.31-8.5810.318.58-77.70-64.8777.7064.87V-4.07-3.191.701.70-6.94-6.946.946.94-51.32-51.3251.3251.323AB梁左M-44.96-32.59-23.80-17.0521.4720.08-21.47-20.08128.62120.22-128.62-120.22V49.4745.8627.0225.04-5.55-5.555.555.55-33.59-33.5933.5933.59梁右M-47.40-34.82-25.81-18.89-16.82-15.4316.8215.43-103.14-94.74103.1494.74V-50.31-46.70-27.70-25.72-5.55-5.555.555.55-33.59-33.5933.5933.59BC梁左M-4.66-3.22-3.04-2.6013.2210.22-13.22-10.2281.0462.88-81.04-62.88V5.774.891.751.75-12.01-12.0112.0112.01-72.65-72.6572.6572.65梁右M-2.04-1.190.821.26-18.01-15.0118.0115.01-107.85-89.69107.8589.69V-3.41-2.531.751.75-12.01-12.0112.0112.01-72.65-72.6572.6572.652AB梁左M-45.09-32.72-23.90-17.1431.2929.25-31.29-29.25155.14144.92-155.14-144.92V49.4945.8827.0325.05-8.16-8.168.168.16-40.88-40.8840.8840.88梁右M-47.46-34.89-25.86-18.94-25.02-22.9825.0222.98-126.95-116.73126.95116.73V-50.29-46.68-27.69-25.71-8.16-8.168.168.16-40.88-40.8840.8840.88BC梁左M-4.62-3.18-3.01-2.5819.6615.25-19.66-15.2599.7477.64-99.74-77.64V5.784.901.741.74-17.65-17.6517.6517.65-88.40-88.4088.4088.40梁右M-1.98-1.130.831.27-26.24-21.8326.2421.83-130.11-108.01130.11108.01V-3.40-2.521.741.74-17.65-17.6517.6517.65-88.40-88.4088.4088.401AB梁左M-42.81-30.49-22.13-15.4140.9638.28-40.96-38.28177.38166.21-177.38-166.21V49.2845.6726.8724.89-10.74-10.7410.7410.74-44.70-44.7044.7044.70梁右M-46.37-33.75-25.02-18.06-33.17-30.4933.1730.49-131.03-119.86131.03119.86V-50.50-46.89-27.85-25.87-10.74-10.7410.7410.74-44.70-44.7044.7044.70BC梁左M-5.62-4.16-3.86-3.3526.0620.12-26.06-20.12102.9677.90-102.96-77.90V5.854.972.032.03-23.75-23.7523.7523.75-100.24-100.24100.24100.24梁右M-2.84-2.010.621.13-35.68-29.7435.6829.74-157.66-132.60157.66132.60V-3.33-2.452.032.03-23.75-23.7523.7523.75-100.24-100.24100.24100.24內(nèi)力組合荷載基本組合一般荷載組合對(duì)于一般框架結(jié)構(gòu)，基本組合可采用簡(jiǎn)化規(guī)則，取下列組合的最不利值。1.3恒+1.5活1.3恒+1.5活+0.6×1.5左風(fēng)1.3恒+1.5活+0.6×1.5右風(fēng)1.3恒+0.7×1.5活+1.5左風(fēng)1.3恒+0.7×1.5活+1.5右風(fēng)考慮地震作用效應(yīng)組合⑥1.0重力荷載+1.3左震⑦1.0重力荷載+1.3右震⑧1.2重力荷載+1.3左震⑨1.2重力荷載+1.3右震控制截面及最不利布置通常情況下，并不是所有荷載同時(shí)作用時(shí)控制截面有最大內(nèi)力，而是在其中一些荷載作用下才能達(dá)到最大內(nèi)力，因此，必須對(duì)框架梁柱的各個(gè)控制截面進(jìn)行最不利內(nèi)力組合?？蚣芰嚎刂平孛孀畈焕麅?nèi)力組合每一根框架梁的控制截面有三個(gè)：左端支座截面、跨中截面和右端支座截面。框架梁的控制截面最不利內(nèi)力組合有以下幾種：MmaxMminVmax框架柱控制截面最不利內(nèi)力組合每一根框架柱的控制截面為柱頂截面和柱底截面。同一柱端截面在不同內(nèi)力組合時(shí)，有可能出現(xiàn)正彎矩或負(fù)彎矩，考慮到框架柱一般采用對(duì)稱配筋，組合時(shí)選取絕對(duì)值最大的彎矩?？蚣苤目刂平孛孀畈焕麅?nèi)力組合有以下幾種：MmaxNmaxNmin框架柱的最不利內(nèi)力類型較為復(fù)雜。當(dāng)框架柱為大偏心受壓，彎矩相等或相近時(shí)，軸力越小其所需配筋越多；當(dāng)框架柱為小偏心受壓，彎矩相等或相近時(shí)，軸力越大則所需配筋越多。不論是大偏心受壓破壞還是小偏心受壓破壞，當(dāng)軸力相等或相近時(shí)，彎矩越大則所需配筋越多。MmaxMmin橫向框架梁內(nèi)力組合MM層數(shù)跨截面內(nèi)力恒荷載活荷載風(fēng)荷載內(nèi)力組合（一般組合）及相應(yīng)的V及相應(yīng)的VVV及相應(yīng)的M左風(fēng)右風(fēng)①②③④⑤5層AB梁左M-38.21-10.824.30-4.30-65.90-62.03-69.77-54.58-67.48-69.77-69.77V75.5719.76-1.181.18127.88126.82128.94117.22120.76128.94128.94跨中M82.3520.750.53-0.53138.18138.66137.70129.64128.05138.66梁右M-50.50-13.82-3.243.24-86.38-89.30-83.46-85.02-75.30-89.30-89.30V-80.15-20.88-1.181.18-135.52-136.58-134.45-127.89-124.35-136.58-136.58BC梁左M-16.21-3.932.10-2.10-26.97-25.08-28.86-22.05-28.35-28.86-28.35V11.032.37-2.672.6717.8915.4920.3012.8220.8320.3020.83跨中M-7.35-1.76-0.700.70-12.20-12.83-11.57-12.45-10.35-12.83梁右M2.311.31-3.493.494.971.838.11-0.869.61-0.869.61V6.892.37-2.672.6712.5110.1114.927.4415.457.4415.454層AB梁左M-36.34-17.3011.83-11.83-73.19-62.55-83.84-47.66-83.15-83.84-83.84V46.1725.06-3.263.2697.6194.68100.5581.4491.22100.55100.55跨中M38.6823.141.41-1.4184.9986.2683.7376.7072.4786.26梁右M-36.93-19.01-9.029.02-76.52-84.64-68.41-81.50-54.44-84.64-84.64V-46.39-25.70-3.263.26-98.86-101.79-95.92-92.18-82.40-101.79-101.79BC梁左M-1.77-2.546.00-6.00-6.11-0.71-11.514.03-13.97-13.97-13.97V4.231.70-6.946.948.051.8014.30-3.1317.6917.6917.69跨中M0.56-0.92-1.291.29-0.65-1.810.51-2.171.70-2.17梁右M-0.881.24-8.588.580.72-7.018.44-12.7113.03-12.71-12.71V-3.191.70-6.946.94-1.60-7.844.65-12.778.05-12.77-12.773層AB梁左M-32.59-17.0520.08-20.08-67.94-49.87-86.01-30.15-90.39-90.39-86.01V45.8625.04-5.555.5597.1892.18102.1777.5994.2494.24102.17跨中M41.6023.332.33-2.3389.0891.1786.9882.0775.0891.17梁右M-34.82-18.89-15.4315.43-73.60-87.49-59.71-88.25-41.96-88.25-87.49V-46.70-25.72-5.555.55-99.29-104.29-94.30-96.04-79.39-96.04-104.29BC梁左M-3.22-2.6010.22-10.22-8.091.11-17.288.41-22.25-22.25-22.25V4.891.75-12.0112.018.98-1.8319.79-9.8226.2126.2126.21跨中M-0.31-0.95-2.402.40-1.83-3.990.33-5.002.20-5.00梁右M-1.191.26-15.0115.010.34-13.1713.85-22.7422.29-22.74-22.74V-2.531.75-12.0112.01-0.66-11.4710.15-19.4716.56-19.47-19.472層AB梁左M-32.72-17.1429.25-29.25-68.25-41.92-94.57-16.66-104.41-104.41-94.57V45.8825.05-8.168.1697.2289.88104.5673.7198.1998.19104.56跨中M41.5023.253.14-3.1488.8391.6586.0083.0773.6591.65梁右M-34.89-18.94-22.9822.98-73.77-94.45-53.09-99.71-30.77-99.71-94.45V-46.68-25.71-8.168.16-99.25-106.59-91.91-99.92-75.44-99.92-106.59BC梁左M-3.18-2.5815.25-15.25-8.005.72-21.7316.03-29.72-29.72-29.72V4.901.74-17.6517.658.98-6.9124.87-18.2834.6734.6734.67跨中M-0.26-0.92-3.293.29-1.72-4.681.24-6.243.63-6.24梁右M-1.131.27-21.8321.830.44-19.2120.08-32.8832.61-32.88-32.88V-2.521.74-17.6517.65-0.67-16.5515.22-27.9225.03-27.92-27.921層AB梁左M-30.49-15.4138.28-38.28-62.75-28.30-97.201.60-113.24-113.24-97.20V45.6724.89-10.7410.7496.7187.04106.3769.40101.62101.62106.37跨中M43.1924.563.90-3.9092.9996.5089.4887.7976.0996.50梁右M-33.75-18.06-30.4930.49-70.97-98.41-43.52-108.57-17.10-108.57-98.41V-46.89-25.87-10.7410.74-99.76-109.43-90.10-104.23-72.01-104.23-109.43BC梁左M-4.16-3.3520.12-20.12-10.437.68-28.5421.25-39.11-39.11-39.11V4.972.03-23.7523.759.51-11.8730.88-27.0344.2244.2244.22跨中M-1.19-1.50-4.814.81-3.80-8.130.53-10.344.09-10.34梁右M-2.011.13-29.7429.74-0.92-27.6825.85-46.0443.18-46.04-46.04V-2.452.03-23.7523.75-0.14-21.5221.24-36.6834.57-36.68-36.68層數(shù)跨截面內(nèi)力恒荷載活荷載震荷載內(nèi)力組合（抗震組合）MM及相應(yīng)的VMM及相應(yīng)的VVV及相應(yīng)的M左震右震⑥⑦⑧⑨5層AB梁左M-38.21-10.8241.20-41.209.94-97.181.22-105.90-105.90-105.90V75.5719.76-11.2711.2770.80100.1087.89117.19117.19117.19跨中M82.3520.755.15-5.1599.4286.03117.97104.58117.97梁右M-50.50-13.82-30.9030.90-97.58-17.24-109.06-28.72-109.06-109.06V-80.15-20.88-11.2711.27-105.24-75.94-123.36-94.06-123.36-123.36BC梁左M-16.21-3.9320.37-20.378.31-44.664.67-48.29-48.29-48.29V11.032.37-24.3924.39-19.4943.92-17.0546.3746.3746.37跨中M-7.35-1.76-5.245.24-15.04-1.42-16.69-3.06-16.69梁右M2.311.31-30.8530.85-37.1443.07-36.5543.66-37.1443.66V6.892.37-24.3924.39-23.6339.78-22.0241.40-23.6341.404層AB梁左M-36.34-17.3086.71-86.7167.73-157.7158.74-166.71-166.71-166.71V46.1725.06-23.7023.7027.8989.5139.63101.25101.25101.25跨中M38.6823.1410.86-10.8664.3736.1374.4246.1874.42梁右M-36.93-19.01-64.9964.99-130.9238.05-140.2128.77-140.21-140.21V-46.39-25.70-23.7023.70-90.05-28.43-101.90-40.28-101.90-101.90BC梁左M-1.77-2.5442.89-42.8952.72-58.8052.11-59.41-59.41-59.41V4.231.70-51.3251.32-61.6471.80-60.6272.8172.8172.81跨中M0.56-0.92-10.9910.99-14.1914.39-14.1714.4114.41梁右M-0.881.24-64.8764.87-84.5984.07-84.6484.02-84.64-84.64V-3.191.70-51.3251.32-69.0664.38-69.5263.91-69.52-69.523層AB梁左M-32.59-17.05120.22-120.22115.17-197.40106.95-205.62-205.62-205.62V45.8625.04-33.5933.5914.71102.0526.39113.72113.72113.72跨中M41.6023.3312.74-12.7469.8336.7080.4847.3680.48梁右M-34.82-18.89-94.7494.74-167.4378.90-176.2870.04-176.28-176.28V-46.70-25.72-33.5933.59-103.23-15.89-115.14-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