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弹性地基上的框架计算书项目名称_日 期_设 计 者_校 对 者_一、示意图:二、内力图:三、基本设计资料1国家规范:水工混凝土结构设计规范(SL 191-2008),以下简称规范建筑地基基础设计规范(GB 500072002)2参考书目:中国建筑工业出版社高层建筑基础分析与设计(宰金珉、宰金璋)3框架的几何参数:框架的跨数n 3;框架的层数m 1第1跨的跨度L 5.9 m;左侧约束情况:自由第2跨的跨度L 5.9 m;左侧约束情况:自由第3跨的跨度L 5.9 m;左侧约束情况:自由第3跨右侧约束情况:自由单元号 单元所在位置 长度(m)截面高(m)1第1跨第1层左侧墙7.00.92第1跨第0层横梁5.90.93第1跨第1层横梁5.90.44第2跨第1层左侧墙7.00.95第2跨第0层横梁5.90.96第2跨第1层横梁5.90.47第3跨第1层左侧墙7.00.98第3跨第0层横梁5.90.99第3跨第1层横梁5.90.410第3跨第1层右侧墙7.00.94地基土参数:地基模型:有限压缩层地基模型地基土计算深度h按建筑地基基础设计规范式(5.3.6)确定:sn 0.025ni1si式中:si - 在计算深度范围内,第i层土的计算沉降值sn - 在由计算深度向上取厚度为z的土层计算沉降值,z取0.3m经程序试算得到地基土压缩层计算深度h 2.82 m土层编号土层名称厚度Hk(m)Esk(MPa)1第一层土2.44.02第二层土4.08.83第三层土5.07.25荷载参数:位 置工况型式p(kN)a(m)c(m)右边载恒载倒三角分布-50.00.07.0第1单元恒载倒三角分布50.00.07.0第3单元恒载均布荷载10.5-第3单元恒载集中荷载195.80.0-第6单元恒载均布荷载10.5-第6单元恒载集中荷载241.50.0-第9单元恒载均布荷载10.5-第9单元恒载集中荷载241.50.0-第9单元恒载集中荷载195.85.9-第10单元恒载倒三角分布-50.00.07.06材料信息:混凝土强度等级: C25轴心抗压强度标准值fck 16.70 N/mm2;轴心抗拉强度标准值ftk 1.78 N/mm2轴心抗压强度设计值fc 11.90 N/mm2;轴心抗拉强度设计值ft 1.27 N/mm2混凝土弹性模量Ec 2.80104 N/mm2纵向受力钢筋种类: HRB335钢筋强度设计值fy 300 N/mm2;弹性模量Es 2.00105 N/mm2钢筋合力点到地基梁内、外边缘的距离as 50.0 mm7分项系数:钢筋混凝土构件的承载力安全系数K 1.35恒载分项系数G 1.05;活载分项系数Q 1.20四、内力计算1计算原理:采用梁和地基刚度分开计算的有限元方法,计算弹性地基上框架的内力与位移;考虑相邻影响的共同作用方程: K Ks U P Ks W 上式中: K - 框架单元刚度矩阵 Ks - 地基单元刚度矩阵 W - 边荷载作用下的附加挠度地基的计算模型:有限压缩层地基模型的柔度矩阵各元素按下式计算:ij p / Esi(zi ai zi1 ai1)上式中ai、ai1为平均附加应力系数,用角点法计算得到2荷载设计值作用下截面内力、位移计算结果:位置 - 截面距单元起点的距离,单位为mm,横梁起点为最左侧点,侧墙为最下侧点M - 截面弯矩,单位为kNmQ - 截面剪力,单位为kNp - 截面位置地基反力,单位为kN/mx - 截面x向位移,单位为mmy - 截面y向位移,单位为mm弯矩、剪力列中括号中数值为截面右侧弯矩、剪力值编号位置弯矩M剪力Q反力pxy0-10-243.48155.240.000.000-21.1480-2583-161.61125.890.00-0.040-21.1530-31167-96.1299.090.00-0.048-21.1580-41750-45.5174.850.00-0.036-21.1640-52333-8.2953.160.00-0.015-21.1690-6291717.0134.020.000.008-21.1750-7350031.8917.430.000.028-21.1800-8408337.843.390.000.042-21.1850-9466736.34-8.090.000.048-21.1910-10525028.89-17.030.000.047-21.1960-11583316.97-23.410.000.040-21.2010-1264172.08-27.230.000.030-21.2070-137000-14.30-28.510.000.020-21.2121-10243.48-231.89137.230.000-21.1481-2492146.06-180.1473.280.000-21.0811-398366.35-146.6163.110.000-20.9931-414751.90-115.8761.930.000-20.8951-51967-47.59-85.6161.140.000-20.7961-62458-82.29-55.6760.640.000-20.7041-72950-102.33-25.9460.290.000-20.6231-83442-107.803.6360.030.000-20.5571-93933-98.7633.1059.840.000-20.5051-104425-75.2562.4959.720.000-20.4671-114917-37.3191.8359.640.000-20.4391-12540815.05121.1459.580.000-20.4171-13590081.82150.4359.530.000-20.3922-10-14.3026.30-0.000.020-21.2122-2492-2.7120.88-0.000.019-21.2122-39836.2315.46-0.000.017-21.2172-4147512.4910.04-0.000.016-21.2132-5196716.104.62-0.000.015-21.1882-6245817.03-0.80-0.000.014-21.1382-7295015.30-6.23-0.000.012-2191-11.65-0.000.011-20.9582-939333.85-17.07-0.000.010-20.8392-104425-5.87-22.49-0.000.009-20.7142-114917-18.26-27.91-0.000.007-20.5982-125408-33.31-33.33-0.000.006-20.5132-135900-51.03-38.75-0.000.005-20.4823-10-53.8010.480.000.000-20.3923-2583-47.6810.480.00-0.030-20.3993-31167-41.5710.480.00-0.050-20.4073-41750-35.4510.480.00-0.062-20.4143-52333-29.3310.480.00-0.066-20.4223-62917-23.2210.480.00-0.065-20.4293-73500-17.1010.480.00-0.059-20.4373-84083-10.9910.480.00-0.050-20.4443-94667-4.8710.480.00-0.039-20.4523-1052501.2510.480.00-0.026-20.4593-1158337.3610.480.00-0.014-20.4673-12641713.4810.480.00-0.003-20.4743-13700019.5910.480.000.005-20.4824-10135.61-174.4259.530.000-20.3924-249257.05-145.1859.400.000-20.3544-3983-7.15-116.0259.240.000-20.3094-41475-57.03-86.9359.090.000-20.2644-51967-92.63-57.9158.960.000-20.2274-62458-113.97-28.9458.880.000-20.2034-72950-121.09-0.0058.850.000-20.1944-83442-113.9728.9458.880.000-20.2034-93933-92.6357.9158.960.000-20.2274-104425-57.0386.9359.090.000-20.2644-114917-7.15116.0259.240.000-20.3094-12540857.05145.1859.400.000-20.3544-135900135.61174.4259.530.000-20.3925-10-31.4432.52-0.000.005-20.4825-2492-16.7827.10-0.000.004-20.5085-3983-4.7921.68-0.000.003-20.5635-414754.5416.26-0.000.002-20.6255-5196711.2010.84-0.000.002-20.6805-6245815.205.42-0.000.001-20.7175-7295016.53-0.00-0.00-0.000-20.7315-8344215.20-5.42-0.00-0.001-20.7175-9393311.20-10.84-0.00-0.002-20.6805-1044254.54-16.26-0.00-0.002-20.6255-114917-4.79-21.68-0.00-0.003-20.5635-125408-16.78-27.10-0.00-0.004-20.5085-135900-31.44-32.52-0.00-0.005-20.4826-1053.80-10.480.000.000-20.3926-258347.68-10.480.000.030-20.3996-3116741.57-10.480.000.050-20.4076-4175035.45-10.480.000.062-20.4146-5233329.33-10.480.000.066-20.4226-6291723.22-10.480.000.065-20.4296-7350017.10-10.480.000.059-20.4376-8408310.99-10.480.000.050-20.4446-946674.87-10.480.000.039-20.4526-105250-1.25-10.480.000.026-20.4596-115833-7.36-10.480.000.014-20.4676-126417-13.48-10.480.000.003-20.4746-137000-19.59-10.480.00-0.005-20.4827-1081.82-150.4359.530.000-20.3927-249215.05-121.1459.580.000-20.4177-3983-37.31-91.8359.640.000-20.4397-41475-75.25-62.4959.720.000-20.4677-51967-98.76-33.1059.840.000-20.5057-62458-107.80-3.6360.030.000-20.5577-72950-102.3325.9460.290.000-20.6237-83442-82.2955.6760.640.000-20.7047-93933-47.5985.6161.140.000-20.7967-1044251.90115.8761.930.000-20.8957-11491766.35146.6163.110.000-20.9937-125408146.06180.1473.280.000-21.0817-135900243.48231.89137.230.000-21.1488-10-51.0338.75-0.00-0.005-20.4828-2492-33.3133.33-0.00-0.006-20.5138-3983-18.2627.91-0.00-0.007-20.5988-41475-5.8722.49-0.00-0.009-20.7148-519673.8517.07-0.00-0.010-20.8398-6245810.9111.65-0.00-0.011-20.9588-7295015.306.23-0.00-0.012-21030.80-0.00-0.014-21.1388-9393316.10-4.62-0.00-0.015-21.1888-10442512.49-10.04-0.00-0.016-21.2138-1149176.23-15.46-0.00-0.017-21.2178-125408-2.71-20.88-0.00-0.019-21.2128-135900-14.30-26.30-0.00-0.020-21.2129-10243.48-155.240.000.000-21.1489-2583161.61-125.890.000.040-21.1539-3116796.12-99.090.000.048-21.1589-4175045.51-74.850.000.036-21.1649-523338.29-53.160.000.015-21.1699-62917-17.01-34.020.00-0.008-21.1759-73500-31.89-17.430.00-0.028-21.1809-84083-37.84-3.390.00-0.042-21.1859-94667-36.348.090.00-0.048-21.1919-105250-28.8917.030.00-0.047-21.1969-115833-16.9723.410.00-0.040-21.2019-126417-2.0827.230.00-0.030-21.2079-13700014.3028.510.00-0.020-21.2123荷载标准值作用下截面内力、位移计算结果:0-10-231.89147.850.000.000-20.1410-2700-140.24114.600.00-0.042-20.1470-31400-70.6484.850.00-0.043-20.1530-42100-20.6358.600.00-0.023-20.1590-5280012.2235.850.000.004-20.1650-6350030.3716.600.000.027-20.1710-7420036.270.850.000.042-20.1780-8490032.37-11.400.000.046-20.1840-9560021.12-20.150.000.041-20.1900-1063004.98-25.400.000.031-20.1960-117000-13.62-27.150.000.019-20.2021-10231.89-220.85130.700.000-20.1411-2492139.10-171.5669.790.000-20.0771-398363.19-139.6360.110.000-19.9931-414751.81-110.3558.980.000-19.9001-51967-45.32-81.5458.230.000-19.8061-62458-78.37-53.0257.760.000-19.7181-72950-97.46-24.7157.420.000-19.6411-83442-102.673.4657.170.000-19.5781-93933-94.0631.5256.990.000-19.5281-104425-71.6759.5256.870.000-19.4921-114917-35.5387.4656.800.000-19.4661-12540814.34115.3856.750.000-19.4441-13590077.92143.2656.690.000-19.4212-10-13.6225.05-0.000.019-20.2022-2590-0.6718.85-0.000.017-20.2032-311808.6212.66-0.000.016-20.2072-4177014.266.46-0.000.015-20.1912-5236016.250.27-0.000.013-20.1432-6295014.58-5.93-0.000.012-20.0572-735409.25-12.12-0.000.010-19.9382-841300.27-18.32-0.000.009-19.7992-94720-12.37-24.51-0.000.007-19.6592-105310-28.66-30.71-0.000.006-19.5492-115900-48.60-36.90-0.000.005-19.5073-10-51.249.990.000.000-19.4213-2700-44.259.990.00-0.033-19.4293-31400-37.269.990.00-0.053-19.4383-42100-30.279.990.00-0.062-19.4463-52800-23.289.990.00-0.063-19.4553-63500-16.299.990.00-0.056-19.4643-74200-9.309.990.00-0.046-19.4723-84900-2.319.990.00-0.032-19.4813-956004.689.990.00-0.018-19.4893-10630011.679.990.00-0.005-19.4983-11700018.669.990.000.005-19.5074-10129.16-166.1256.690.000-19.4214-249254.33-138.2756.580.000-19.3854-3983-6.81-110.4956.420.000-19.3424-41475-54.32-82.7956.270.000-19.2994-51967-88.22-55.1556.150.000-19.2644-62458-108.55-27.5656.070.000-19.2414-72950-115.32-0.0056.050.000-19.2334-83442-108.5527.5656.070.000-19.2414-93933-88.2255.1556.150.000-19.2644-104425-54.3282.7956.270.000-19.2994-114917-6.81110.4956.420.000-19.3424-12540854.33138.2756.580.000-19.3854-135900129.16166.1256.690.000-19.4215-10-29.9430.97-0.000.005-19.5075-2590-13.5024.78-0.000.004-19.5415-31180-0.7018.58-0.000.003-19.6075-417708.4412.39-0.000.002-19.6765-5236013.926.19-0.000.001-19.7255-6295015.75-0.00-0.00-0.000-19.7435-7354013.92-6.20-0.00-0.001-19.7255-841308.44-12.39-0.00-0.002-19.6765-94720-0.70-18.59-0.00-0.003-19.6075-105310-13.50-24.78-0.00-0.004-19.5415-115900-29.94-30.98-0.00-0.005-19.5076-1051.24-9.990.000.000-19.4216-270044.25-9.990.000.033-19.4296-3140037.26-9.990.000.053-19.4386-4210030.27-9.990.000.062-19.4466-5280023.28-9.990.000.063-19.4556-6350016.29-9.990.000.056-19.4646-742009.30-9.990.000.046-19.4726-849002.31-9.990.000.032-19.4816-95600-4.68-9.990.000.018-19.4896-106300-11.67-9.990.000.005-19.4986-117000-18.66-9.990.00-0.005-19.5077-1077.92-143.2656.690.000-19.4217-249214.34-115.3856.750.000-19.4447-3983-35.53-87.4656.800.000-19.4667-41475-71.67-59.5256.870.000-19.4927-51967-94.06-31.5256.990.000-19.5287-62458-102.67-3.4657.170.000-19.5787-72950-97.4624.7157.420.000-19.6417-83442-78.3753.0257.760.000-19.7187-93933-45.3281.5458.230.000-19.8067-1044251.81110.3558.980.000-19.9007-11491763.19139.6360.110.000-19.9937-125408139.10171.5669.790.000-20.0777-135900231.89220.85130.700.000-20.1418-10-48.6036.90-0.00-0.005-19.5078-2590-28.6630.71-0.00-0.006-19.5498-31180-12.3724.51-0.00-0.007-19.6598-417700.2718.32-0.00-0.009-19.7998-523609.2512.12-0.00-0.010-19.9388-6295014.585.93-0.00-0.012-2025-0.27-0.00-0.013-20.1438-8413014.26-6.46-0.00-0.015-20.1918-947208.62-12.66-0.00-0.016-20.2078-105310-0.67-18.85-0.00-0.017-20.2038-115900-13.62-25.05-0.00-0.019-20.2029-10231.89-147.850.000.000-20.1419-2700140.24-114.600.000.042-20.1479-3140070.64-84.850.000.043-20.1539-4210020.63-58.600.000.023-20.1599-52800-12.22-35.850.00-0.004-20.1659-63500-30.37-16.600.00-0.027-20.1719-74200-36.27-0.850.00-0.042-20.1789-84900-32.3711.400.00-0.046-20.1849-95600-21.1220.150.00-0.041-20.1909-106300-4.9825.400.00-0.031-20.1969-11700013.6227.150.00-0.019-20.202五、配筋及裂缝宽度计算地基梁截面按受弯构件进行承载力和配筋计算:1受弯构件正截面承载力计算依据:KM fcb(ho-/2)+fyAs(ho-as) 砼规式6.2.1-1fcb fyAs - fyAs 砼规式6.2.1-22受弯构件斜截面承载力计算依据:KV Vc + Vsv + Vsb (规范式6.5.3-1)上式中:Vc 0.7ftbho (规范式6.5.3-2)Vsv 1.25fyvAsv/sho (规范式6.5.3-3)Vsb fyAsbsin (规范式6.5.3-5)当满足下述条件时,可不配置抗剪钢筋:KV 0.7hftbho 砼规式6.5.4-1h (800 / ho)1/4 砼规式6.5.4-2上式中当ho 2000时,取ho 20003跨内力设计值和标准值:M - 梁截面下侧受拉弯矩设计值M - 梁截面上侧受拉弯矩设计值Q - 梁截面剪力设计值M - 梁截面下侧受拉弯矩标准值M - 梁截面上侧受拉弯矩标准值Q - 梁截面剪力标准值截面位置M(kNm)M(kNm)Q(kN)M(kNm)M(kNm)Q(kN)第1跨左支座0.00-243.48155.240.00-231.89147.85第1跨跨中37.84-161.61125.8936.27-140.24114.60第1跨右支座0.00-14.3028.510.00-13.6227.15第2跨左支座243.480.00231.89231.890.00220.85第2跨跨中146.06-107.80180.14139.10-102.67171.56第2跨右支座81.820.00150.4377.920.00143.26第3跨左支座0.00-14.3026.300.00-13.6225.05第3跨跨中17.03-33.3133.3316.25-28.6630.71第3跨右支座0.00-51.0338.750.00-48.6036.90第4跨左支座0.00-53.8010.480.00-51.249.99第4跨跨中13.48-47.6810.4811.67-44.259.99第4跨右支座19.590.0010.4818.660.009.99第5跨左支座135.610.00174.42129.160.00166.12第5跨跨中57.05-121.09145.1854.33-115.32138.27第5跨右支座135.610.00174.42129.160.00166.12第6跨左支座0.00-31.4432.520.00-29.9430.97第6跨跨中16.53-16.7827.1015.75-13.5024.78第6跨右支座0.00-31.4432.520.00-29.9430.98第7跨左支座53.800.0010.4851.240.009.99第7跨跨中47.68-13.4810.4844.25-11.679.99第7跨右支座0.00-19.5910.480.00-18.669.99第8跨左支座81.820.00150.4377.920.00143.26第8跨跨中146.06-107.80180.14139.10-102.67171.56第8跨右支座243.480.00231.89231.890.00220.85第9跨左支座0.00-51.0338.750.00-48.6036.90第9跨跨中17.03-33.3133.3316.25-28.6630.71第9跨右支座0.00-14.3026.300.00-13.6225.05第10跨左支座243.480.00155.24231.890.00147.85第10跨跨中161.61-37.84125.89140.24-36.27114.60第10跨右支座14.300.0028.5113.620.0027.154截面配筋计算结果:截面位置As(mm2)下侧实配As(mm2)上侧实配Asv(mm)箍筋实配1跨左支座00(没配)13151436(D16140)0.0000.503(2d8200)第1跨跨中12751340(D16150)12751340(D16150)0.0000.503(2d8200)1跨右支座00(没配)12751340(D16150)0.0000.503(2d8200)2跨左支座13151436(D16140)00(没配)0.0000.503(2d8200)第2跨跨中12751340(D16150)12751340(D16150)0.0000.503(2d8200)2跨右支座12751340(D16150)00(没配)0.0000.503(2d8200)3跨左支座00(没配)525574(D16350)0.0000.503(2d8200)第3跨跨中525574(D16350)525574(D16350)0.0000.503(2d8200)3跨右支座00(没配)672718(D16280)0.0000.503(2d8200)4跨左支座00(没配)12751340(D16150)0.0000.503(2d8200)第4跨跨中12751340(D16150)12751340(D16150)0.0000.503(2d8200)4跨右支座12751340(D16150)00(没配)0.0000.503(2d8200)5跨左支座12751340(D16150)00(没配)0.0000.503(2d8200)第5跨跨中12751340(D16150)12751340(D16150)0.0000.503(2d8200)5跨右支座12751340(D16150)00(没配)0.0000.503(2d8200)6跨左支座00(没配)525574(D16350)0.0000.503(2d8200)第6跨跨中525574(D16350)525574(D16350)0.0000.503(2d8200)6跨右支座00(没配)525574(D16350)0.0000.503(2d8200)7跨左支座12751340(D16150)00(没配)0.0000.503(2d8200)第7跨跨中12751340(D16150)12751340(D16150)0.0000.503(2d8200)7跨右支座00(没配)12751340(D16150)0.0000.503(2d8200)8跨左支座12751340(D16150)00(没配)0.0000.503(2d820

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