彈性地基上的框架計算書2

彈性地基上的框架計算書項目名稱_____________日期_____________設(shè)計者_(dá)____________校對者_(dá)____________一、示意圖：二、內(nèi)力圖：三、基本設(shè)計資料 1．國家規(guī)范： 《水工混凝土結(jié)構(gòu)設(shè)計規(guī)范》(SL191-2008)，以下簡稱《規(guī)范》 《建筑地基基礎(chǔ)設(shè)計規(guī)范》（GB50007—2002） 2．參考書目： 中國建筑工業(yè)出版社《高層建筑基礎(chǔ)分析與設(shè)計》（宰金珉、宰金璋） 3．框架的幾何參數(shù)： 框架的跨數(shù)n＝3；框架的層數(shù)m＝1 第1跨的跨度L＝5.9m；左側(cè)約束情況：自由 第2跨的跨度L＝5.9m；左側(cè)約束情況：自由 第3跨的跨度L＝5.9m；左側(cè)約束情況：自由 第3跨右側(cè)約束情況：自由單元號單元所在位置長度（m）截面高（m）1第1跨第1層左側(cè)墻7.00.92第1跨第0層橫梁5.90.93第1跨第1層橫梁5.90.44第2跨第1層左側(cè)墻7.00.95第2跨第0層橫梁5.90.96第2跨第1層橫梁5.90.47第3跨第1層左側(cè)墻7.00.98第3跨第0層橫梁5.90.99第3跨第1層橫梁5.90.410第3跨第1層右側(cè)墻7.00.9 4．地基土參數(shù)： 地基模型：有限壓縮層地基模型 地基土計算深度h按《建筑地基基礎(chǔ)設(shè)計規(guī)范》式（5.3.6）確定： △s’n≤0.025∑ni＝1△s’i 式中：△s’i--在計算深度范圍內(nèi)，第i層土的計算沉降值 △s’n--在由計算深度向上取厚度為△z的土層計算沉降值，△z取0.3m 經(jīng)程序試算得到地基土壓縮層計算深度h＝2.82m土層編號土層名稱厚度Hk（m）Esk（MPa）1第一層土2.44.02第二層土4.08.83第三層土5.07.2 5．荷載參數(shù)：位置工況型式p（kN）a（m）c（m）右邊載恒載倒三角分布-50.00.07.0左邊載恒載三角分布126.00.015.0左邊載恒載分布荷載126.015.08.0右邊載恒載倒三角分布126.08.015.0右邊載恒載分布荷載126.00.08.0第1單元恒載倒三角分布50.00.07.0第3單元恒載均布荷載10.5----第3單元恒載集中荷載195.80.0--第6單元恒載均布荷載10.5----第6單元恒載集中荷載241.50.0--第9單元恒載均布荷載10.5----第9單元恒載集中荷載241.50.0--第9單元恒載集中荷載195.85.9--第10單元恒載倒三角分布-50.00.07.0 6．材料信息： 混凝土強度等級：C25 軸心抗壓強度標(biāo)準(zhǔn)值fck＝16.70N/mm2；軸心抗拉強度標(biāo)準(zhǔn)值ftk＝1.78N/mm2 軸心抗壓強度設(shè)計值fc＝11.90N/mm2；軸心抗拉強度設(shè)計值ft＝1.27N/mm2 混凝土彈性模量Ec＝2.80×104N/mm2 縱向受力鋼筋種類：HRB335 鋼筋強度設(shè)計值fy＝300N/mm2；彈性模量Es＝2.00×105N/mm2 鋼筋合力點到地基梁內(nèi)、外邊緣的距離as＝50.0mm 7．分項系數(shù)： 鋼筋混凝土構(gòu)件的承載力安全系數(shù)K＝1.35 恒載分項系數(shù)γG＝1.05；活載分項系數(shù)γQ＝1.20四、內(nèi)力計算 1．計算原理： 采用梁和地基剛度分開計算的有限元方法，計算彈性地基上框架的內(nèi)力與位移； 考慮相鄰影響的共同作用方程： [K＋Ks]×{U}＝{P}＋[Ks]{W'} 上式中：[K]--框架單元剛度矩陣 [Ks]--地基單元剛度矩陣 [W']--邊荷載作用下的附加撓度 地基的計算模型： 有限壓縮層地基模型的柔度矩陣各元素按下式計算： δij＝∑p/Esi×（zi×ai－zi－1×ai－1） 上式中ai、ai－1為平均附加應(yīng)力系數(shù)，用角點法計算得到 2．荷載設(shè)計值作用下截面內(nèi)力、位移計算結(jié)果： 位置--截面距單元起點的距離，單位為mm，橫梁起點為最左側(cè)點，側(cè)墻為最下側(cè)點 M--截面彎矩，單位為kN·m Q--截面剪力，單位為kN p--截面位置地基反力，單位為kN/m Δx--截面x向位移，單位為mm Δy--截面y向位移，單位為mm 彎矩、剪力列中括號中數(shù)值為截面右側(cè)彎矩、剪力值編號位置彎矩M剪力Q反力pΔxΔy0-10-325.30170.030.000.000-23.8560-2583-234.81140.680.00-0.090-23.8610-31167-160.68113.880.00-0.133-23.8660-41750-101.4589.640.00-0.144-23.8720-52333-55.6167.940.00-0.134-23.8770-62917-21.6948.800.00-0.113-23.8820-735001.8232.210.00-0.087-23.8870-8408316.3918.180.00-0.062-23.8920-9466723.526.690.00-0.040-23.8980-10525024.70-2.240.00-0.022-23.9030-11583321.40-8.620.00-0.009-23.9080-12641715.13-12.450.00-0.000-23.9130-1370007.38-13.720.000.005-23.9181-10325.30-224.69-44.250.000-23.8561-2492209.48-218.3669.980.000-23.7351-3983110.58-184.7166.910.000-23.5831-4147527.85-151.6667.520.000-23.4161-51967-38.55-118.5167.330.000-23.2441-62458-88.68-85.4966.990.000-23.0771-72950-122.62-52.6466.620.000-22.9231-83442-140.45-19.9766.260.000-22.7851-93933-142.2612.5365.950.000-22.6671-104425-128.1244.8965.700.000-22.5691-114917-98.1177.1465.490.000-22.4891-125408-52.27109.3065.330.000-22.4221-1359009.37141.3965.190.000-22.3632-107.3819.10-0.000.005-23.9182-249215.4413.68-0.000.005-23.9142-398320.838.26-0.000.004-23.8852-4147523.562.84-0.000.003-23.8232-5196723.62-2.58-0.000.003-23.7222-6245821.02-8.00-0.000.002-23.5842-7295015.75-13.42-0.000.002-23.4132-834427.81-18.85-0.000.001-23.2162-93933-2.78-24.27-0.000.000-23.0072-104425-16.05-29.69-0.00-0.000-22.8022-114917-31.97-35.11-0.00-0.001-22.6242-125408-50.57-40.53-0.00-0.001-22.4982-135900-71.83-45.95-0.00-0.002-22.4553-10-107.4021.160.000.000-22.3633-2583-95.0521.160.00-0.059-22.3703-31167-82.7121.160.00-0.100-22.3783-41750-70.3721.160.00-0.124-22.3863-52333-58.0221.160.00-0.134-22.3933-62917-45.6821.160.00-0.132-22.4013-73500-33.3321.160.00-0.121-22.4093-84083-20.9921.160.00-0.103-22.4163-94667-8.6421.160.00-0.082-22.4243-1052503.7021.160.00-0.058-22.4323-11583316.0421.160.00-0.035-22.4393-12641728.3921.160.00-0.016-22.4473-13700040.7321.160.00-0.002-22.4554-10116.77-190.6665.190.000-22.3634-249230.91-158.6565.010.000-22.2984-3983-39.24-126.7464.780.000-22.2284-41475-93.72-94.9464.570.000-22.1634-51967-132.60-63.2464.400.000-22.1114-62458-155.91-31.6064.290.000-22.0784-72950-163.67-0.0064.260.000-22.0674-83442-155.9131.6064.290.000-22.0784-93933-132.6063.2464.400.000-22.1114-104425-93.7294.9464.570.000-22.1634-114917-39.24126.7464.780.000-22.2284-12540830.91158.6565.010.000-22.2984-135900116.77190.6665.190.000-22.3635-10-31.1032.52-0.00-0.002-22.4555-2492-16.4427.10-0.00-0.002-22.4845-3983-4.4421.68-0.00-0.001-22.5415-414754.8816.26-0.00-0.001-22.6055-5196711.5510.84-0.00-0.001-22.6625-6245815.545.42-0.00-0.000-22.7005-7295016.88-0.00-0.00-0.000-22.7145-8344215.54-5.42-0.000.000-22.7005-9393311.55-10.84-0.000.001-22.6625-1044254.88-16.26-0.000.001-22.6055-114917-4.44-21.68-0.000.001-22.5415-125408-16.44-27.10-0.000.002-22.4845-135900-31.10-32.52-0.000.002-22.4556-10107.40-21.160.000.000-22.3636-258395.05-21.160.000.059-22.3706-3116782.71-21.160.000.100-22.3786-4175070.37-21.160.000.124-22.3866-5233358.02-21.160.000.134-22.3936-6291745.68-21.160.000.132-22.4016-7350033.33-21.160.000.121-22.4096-8408320.99-21.160.000.103-22.4166-946678.64-21.160.000.082-22.4246-105250-3.70-21.160.000.058-22.4326-115833-16.04-21.160.000.035-22.4396-126417-28.39-21.160.000.016-22.4476-137000-40.73-21.160.000.002-22.4557-109.37-141.3965.190.000-22.3637-2492-52.27-109.3065.330.000-22.4227-3983-98.11-77.1465.490.000-22.4897-41475-128.12-44.8965.700.000-22.5697-51967-142.26-12.5365.950.000-22.6677-62458-140.4519.9766.260.000-22.7857-72950-122.6252.6466.620.000-22.9237-83442-88.6885.4966.990.000-23.0777-93933-38.55118.5167.330.000-23.2447-10442527.85151.6667.520.000-23.4167-114917110.58184.7166.910.000-23.5837-125408209.48218.3669.980.000-23.7357-135900325.30224.69-44.250.000-23.8568-10-71.8345.95-0.000.002-22.4558-2492-50.5740.53-0.000.001-22.4988-3983-31.9735.11-0.000.001-22.6248-41475-16.0529.69-0.000.000-22.8028-51967-2.7824.27-0.00-0.000-23.0078-624587.8118.85-0.00-0.001-23.2168-7295015.7513.42-0.00-0.002-23.4138-8344221.028.00-0.00-0.002-23.5848-9393323.622.58-0.00-0.003-23.7228-10442523.56-2.84-0.00-0.003-23.8238-11491720.83-8.26-0.00-0.004-23.8858-12540815.44-13.68-0.00-0.005-23.9148-1359007.38-19.10-0.00-0.005-23.9189-10325.30-170.030.000.000-23.8569-2583234.81-140.680.000.090-23.8619-31167160.68-113.880.000.133-23.8669-41750101.45-89.640.000.144-23.8729-5233355.61-67.940.000.134-23.8779-6291721.69-48.800.000.113-23.8829-73500-1.82-32.210.000.087-23.8879-84083-16.39-18.180.000.062-23.8929-94667-23.52-6.690.000.040-23.8989-105250-24.702.240.000.022-23.9039-115833-21.408.620.000.009-23.9089-126417-15.1312.450.000.000-23.9139-137000-7.3813.720.00-0.005-23.918 3．荷載標(biāo)準(zhǔn)值作用下截面內(nèi)力、位移計算結(jié)果：0-10-309.81161.930.000.000-22.7200-2700-208.30128.680.00-0.097-22.7260-31400-128.8498.930.00-0.134-22.7320-42100-68.9972.680.00-0.133-22.7380-52800-26.2849.930.00-0.112-22.7440-635001.7330.680.00-0.083-22.7500-7420017.4914.930.00-0.054-22.7560-8490023.452.680.00-0.030-22.7620-9560022.06-6.070.00-0.013-22.7680-10630015.77-11.320.00-0.002-22.7740-1170007.03-13.070.000.005-22.7791-10309.81-213.99-42.140.000-22.7201-2492199.51-207.9666.650.000-22.6051-3983105.31-175.9163.730.000-22.4601-4147526.53-144.4464.310.000-22.3011-51967-36.72-112.8764.120.000-22.1371-62458-84.46-81.4263.800.000-21.9781-72950-116.78-50.1363.450.000-21.8311-83442-133.76-19.0263.110.000-21.7001-93933-135.4811.9362.810.000-21.5881-104425-122.0242.7662.570.000-21.4941-114917-93.4473.4762.370.000-21.4181-125408-49.78104.1062.220.000-21.3551-1359008.93134.6662.090.000-21.2982-107.0318.19-0.000.005-22.7792-259015.9311.99-0.000.004-22.7722-3118021.185.80-0.000.004-22.7282-4177022.77-0.40-0.000.003-22.6352-5236020.71-6.59-0.000.002-22.4902-6295015.00-12.79-0.000.002-22.2982-735405.63-18.98-0.000.001-22.0712-84130-7.40-25.18-0.000.000-21.8322-94720-24.08-31.37-0.00-0.000-21.6102-105310-44.42-37.57-0.00-0.001-21.4462-115900-68.41-43.76-0.00-0.002-21.3863-10-102.2820.150.000.000-21.2983-2700-88.1820.150.00-0.066-21.3073-31400-74.0720.150.00-0.106-21.3153-42100-59.9620.150.00-0.125-21.3243-52800-45.8520.150.00-0.127-21.3333-63500-31.7520.150.00-0.115-21.3423-74200-17.6420.150.00-0.095-21.3503-84900-3.5320.150.00-0.069-21.3593-9560010.5820.150.00-0.042-21.3683-10630024.6820.150.00-0.018-21.3773-11700038.7920.150.00-0.002-21.3864-10111.21-181.5862.090.000-21.2984-249229.44-151.0961.910.000-21.2364-3983-37.37-120.7161.700.000-21.1694-41475-89.26-90.4261.490.000-21.1084-51967-126.28-60.2361.330.000-21.0584-62458-148.48-30.1061.230.000-21.0274-72950-155.88-0.0061.200.000-21.0164-83442-148.4830.1061.230.000-21.0274-93933-126.2860.2361.330.000-21.0584-104425-89.2690.4261.490.000-21.1084-114917-37.37120.7161.700.000-21.1694-12540829.44151.0961.910.000-21.2364-135900111.21181.5862.090.000-21.2985-10-29.6130.97-0.00-0.002-21.3865-2590-13.1724.78-0.00-0.001-21.4235-31180-0.3718.58-0.00-0.001-21.4925-417708.7612.39-0.00-0.001-21.5635-5236014.256.19-0.00-0.000-21.6145-6295016.07-0.00-0.00-0.000-21.6325-7354014.25-6.20-0.000.000-21.6145-841308.76-12.39-0.000.001-21.5635-94720-0.37-18.59-0.000.001-21.4925-105310-13.17-24.78-0.000.001-21.4235-115900-29.61-30.98-0.000.002-21.3866-10102.28-20.150.000.000-21.2986-270088.18-20.150.000.066-21.3076-3140074.07-20.150.000.106-21.3156-4210059.96-20.150.000.125-21.3246-5280045.85-20.150.000.127-21.3336-6350031.75-20.150.000.115-21.3426-7420017.64-20.150.000.095-21.3506-849003.53-20.150.000.069-21.3596-95600-10.58-20.150.000.042-21.3686-106300-24.68-20.150.000.018-21.3776-117000-38.79-20.150.000.002-21.3867-108.93-134.6662.090.000-21.2987-2492-49.78-104.1062.220.000-21.3557-3983-93.44-73.4762.370.000-21.4187-41475-122.02-42.7662.570.000-21.4947-51967-135.48-11.9362.810.000-21.5887-62458-133.7619.0263.110.000-21.7007-72950-116.7850.1363.450.000-21.8317-83442-84.4681.4263.800.000-21.9787-93933-36.72112.8764.120.000-22.1377-10442526.53144.4464.310.000-22.3017-114917105.31175.9163.730.000-22.4607-125408199.51207.9666.650.000-22.6057-135900309.81213.99-42.140.000-22.7208-10-68.4143.76-0.000.002-21.3868-2590-44.4237.57-0.000.001-21.4468-31180-24.0831.37-0.000.000-21.6108-41770-7.4025.18-0.00-0.000-21.8328-523605.6318.98-0.00-0.001-220012.79-0.00-0.002-22.2988-7354020.716.59-0.00-0.002-22.4908-8413022.770.40-0.00-0.003-22.6358-9472021.18-5.80-0.00-0.004-22.7288-10531015.93-11.99-0.00-0.004-22.7728-1159007.03-18.19-0.00-0.005-22.7799-10309.81-161.930.000.000-22.7209-2700208.30-128.680.000.097-22.7269-31400128.84-98.930.000.134-22.7329-4210068.99-72.680.000.133-22.7389-5280026.28-49.930.000.112-22.7449-63500-1.73-30.680.000.083-22.7509-74200-17.49-14.930.000.054-22.7569-84900-23.45-2.680.000.030-22.7629-95600-22.066.070.000.013-22.7689-106300-15.7711.320.000.002-22.7749-117000-7.0313.070.00-0.005-22.779五、配筋及裂縫寬度計算 地基梁截面按受彎構(gòu)件進(jìn)行承載力和配筋計算： 1．受彎構(gòu)件正截面承載力計算依據(jù)： K×M≤fc×b×χ×（ho-χ/2）+fy'×As'（ho-as'）《砼規(guī)》式6.2.1-1 fc×b×χ≤fy×As-fy'×As'《砼規(guī)》式6.2.1-2 2．受彎構(gòu)件斜截面承載力計算依據(jù)： K×V≤Vc+Vsv+Vsb(《規(guī)范》式6.5.3-1) 上式中：Vc＝0.7×ft×b×ho(《規(guī)范》式6.5.3-2) Vsv＝1.25×fyv×Asv/s×ho(《規(guī)范》式6.5.3-3) Vsb＝fy×Asb×sinα(《規(guī)范》式6.5.3-5) 當(dāng)滿足下述條件時，可不配置抗剪鋼筋： K×V≤0.7×βh×ft×b×ho《砼規(guī)》式6.5.4-1 βh＝（800/ho）1/4《砼規(guī)》式6.5.4-2 上式中當(dāng)ho<800時，取ho=800，當(dāng)ho>2000時，取ho＝2000 3．跨內(nèi)力設(shè)計值和標(biāo)準(zhǔn)值： M＋--梁截面下側(cè)受拉彎矩設(shè)計值 M－--梁截面上側(cè)受拉彎矩設(shè)計值 Q－--梁截面剪力設(shè)計值 M＋’--梁截面下側(cè)受拉彎矩標(biāo)準(zhǔn)值 M－’--梁截面上側(cè)受拉彎矩標(biāo)準(zhǔn)值 Q－’--梁截面剪力標(biāo)準(zhǔn)值截面位置M＋（kN·m）M－（kN·m）Q（kN）M＋’（kN·m）M－’（kN·m）Q’（kN）第1跨左支座0.00-325.30170.030.00-309.81161.93第1跨跨中24.70-234.81140.6823.45-208.30128.68第1跨右支座7.380.0013.727.030.0013.07第2跨左支座325.300.00224.69309.810.00213.99第2跨跨中209.48-142.26218.36199.51-135.48207.96第2跨右支座9.370.00141.398.930.00134.66第3跨左支座7.380.0019.107.030.0018.19第3跨跨中23.62-50.5740.5322.77-44.4237.57第3跨右支座0.00-71.8345.950.00-68.4143.76第4跨左支座0.00-107.4021.160.00-102.2820.15第4跨跨中28.39-95.0521.1624.68-88.1820.15第4跨右支座40.730.0021.1638.790.0020.15第5跨左支座116.770.00190.66111.210.00181.58第5跨跨中30.91-163.67158.6529.44-155.88151.09第5跨右支座116.770.00190.66111.210.00181.58第6跨左支座0.00-31.1032.520.00-29.6130.97第6跨跨中16.88-16.4427.1016.07-13.1724.78第6跨右支座0.00-31.1032.520.00-29.6130.98第7跨左支座107.400.0021.16102.280.0020.15第7跨跨中95.05-28.3921.1688.18-24.6820.15第7跨右支座0.00-40.7321.160.00-38.7920.15第8跨左支座9.370.00141.398.930.00134.66第8跨跨中209.48-142.26218.36199.51-135.48207.96第8跨右支座325.300.00224.69309.810.00213.99第9跨左支座0.00-71.8345.950.00-68.4143.76第9跨跨中23.62-50.5740.5322.77-44.4237.57第9跨右支座7.380.0019.107.030.0018.19第10跨左支座325.300.00170.03309.810.00161.93第10跨跨中234.81-24.70140.68208.30-23.45128.68第10跨右支座0.00-7.3813.720.00-7.0313.07 4．截面配筋計算結(jié)果：截面位置As（mm2）下側(cè)實配As’（mm2）上側(cè)實配Asv（mm）箍筋實配1跨左支座00（沒配）17691828（D16@110）0.0000.503（2d8@200）第1跨跨中12751340（D16@150）12751340（D16@150）0.0000.503（2d8@200）1跨右支座12751340（D16@150）00（沒配）0.0000.503（2d8@200）2跨左支座17691828（D16@110）00（沒配）0.0000.503（2d8@200）第2跨跨中12751340（D16@150）12751340（D16@150）0.0000.503（2d8@200）2跨右支座12751340（D16@150）00（沒配）0.0000.503（2d8@200）3跨左支座525574（D16@350）00（沒配）0.0000.503（2d8@200）第3跨跨中525574（D16@350）666718（D16@280）0.0000.503（2d8@200）3跨右支座00（沒配）9561005（D16@200）0.0000.503（2d8@200）4跨左支座00（沒配）12751340（D16@150）0.0000.503（2d8@200）第4跨跨中12751340（D16@150）12751340（D16@150）0.0000.503（2d8@200）4跨右支座12751340（D16@150）00（沒配）0.0000.503（2d8@200）5跨左支座12751340（D16@150）00（沒配）0.0000.503（2d8@200）第5跨跨中12751340（D16@150）12751340（D16@150）0.0000.503（2d8@200）5跨右支座12751340（D16@150）00（沒配）0.0000.503（2d8@200）6跨左支座00（沒配）525574（D16@350）0.0000.503（2d8@200）第6跨跨中525574（D16@350）525574（D16@350）0.0000.503（2d8@200）6跨右支座00（沒配）525574（D16@350）0.0000.503（2d8@200）7跨左支座12751340（D16@150）00（沒配）0.0000.503（2d8@200）第7跨跨中12751340（D16@150）12751340（D16@150）0.0000.503（2d8@200）7跨右支座00（沒配）12751340（D16@150）0.0000.503（2d8@200）8跨左支座12751340（D16