預(yù)應(yīng)力梁YKL3 計(jì)算書

預(yù)應(yīng)力梁YKL3計(jì)算書預(yù)應(yīng)力梁所在連續(xù)梁兩端坐標(biāo)(mm):(-4800,18500/50800,18500)梁上布置預(yù)應(yīng)力筋:有粘結(jié)預(yù)應(yīng)力筋3一、設(shè)計(jì)條件1.1規(guī)范及參考資料: 《混凝土結(jié)構(gòu)設(shè)計(jì)規(guī)范》GB50010-2010 《預(yù)應(yīng)力混凝土結(jié)構(gòu)抗震設(shè)計(jì)標(biāo)準(zhǔn)》JGJ/T140-2019 《預(yù)應(yīng)力混凝土結(jié)構(gòu)設(shè)計(jì)規(guī)范》JGJ369-20161.2梁跨截面注意:受壓區(qū)考慮樓板作為翼緣作用，支座截面，僅使用下翼緣；其他位置截面，僅使用上翼緣1.2.1第1跨截面(mm):矩形，bxh=300x800基本截面屬性:Ac=240000,Ic=1.2800e+010,Yc=400.01.2.2第2跨截面(mm):矩形，bxh=350x1300受壓區(qū)考慮樓板作為翼緣作用，上翼緣高=130，上翼緣寬=1500基本截面屬性:Ac=455000,Ic=6.4079e+010,Yc=650.01.2.3第3跨截面(mm):矩形，bxh=350x1300受壓區(qū)考慮樓板作為翼緣作用，上翼緣高=130，上翼緣寬=1910基本截面屬性:Ac=455000,Ic=6.4079e+010,Yc=650.01.2.4第4跨截面(mm):矩形，bxh=350x1300受壓區(qū)考慮樓板作為翼緣作用，上翼緣高=130，上翼緣寬=1910基本截面屬性:Ac=455000,Ic=6.4079e+010,Yc=650.01.2.5第5跨截面(mm):矩形，bxh=350x1000基本截面屬性:Ac=350000,Ic=2.9167e+010,Yc=500.01.2.6第6跨截面(mm):矩形，bxh=350x850基本截面屬性:Ac=297500,Ic=1.7912e+010,Yc=425.01.3混凝土強(qiáng)度等級(jí):第1跨C30,第2跨C40,第3跨C40,第4跨C40,第5跨C30,第6跨C301.4預(yù)應(yīng)力筋信息:梁上共布置有1種預(yù)應(yīng)力筋1.4.1第1種預(yù)應(yīng)力筋參數(shù): 名字:有粘結(jié)預(yù)應(yīng)力筋3,類型:1x7Φ15.2 抗拉強(qiáng)度標(biāo)準(zhǔn)值:1860.0Mpa 抗拉強(qiáng)度設(shè)計(jì)值:1320.0Mpa 抗壓強(qiáng)度設(shè)計(jì)值:390.0Mpa 控制應(yīng)力系數(shù):0.750 控制應(yīng)力:1395.0kN 松弛級(jí)別:低松弛 鋼束與管道摩擦系數(shù)u=0.250 管道每米局部偏差摩擦影響系數(shù)k=0.00150 錨具變形、鋼筋回縮=5mm 是否超張拉:是 管道數(shù)目:1 管道直徑:70.0mm 每管預(yù)應(yīng)力筋根數(shù):6根 每管預(yù)應(yīng)力筋面積:840.00mm*mm 預(yù)應(yīng)力筋總面積:840.00mm*mm 預(yù)應(yīng)力筋投影長(zhǎng):40400mm,實(shí)際長(zhǎng)度:40645mm 預(yù)應(yīng)力筋線形定位參數(shù)(A、B、C): 第2跨:A=0.200m，B=0.200m，C=0.100m 第3跨:A=0.200m，B=0.200m，C=0.200m 第4跨:A=0.200m，B=0.200m，C=0.200m 預(yù)應(yīng)力筋線形坐標(biāo)(mm): xs=0,54,107,161,214,268,321,375,428,482,535,589,642,696,749,803,857,910,964,1017,1071,1124,1178,1231,1285,1338,1392,1445,1499,1553,1606,1660,1713,1767,1820,1874,1927,1981,2034,2088,2141,2195,2248,2302,2356,2409,2463,2516,2570,2623,2677,2730,2784,2837,2891,2944,2998,3052,3105,3159,3212,3266,3319,3373,3426,3480,3533,3587,3640,3694,3747,3801,3855,3908,3962,4015,4069,4122,4176,4229,4283,4336,4390,4443,4497,4551,4604,4658,4711,4765,4818,4872,4925,4979,5032,5086,5139,5193,5300,5480,5660,5840,6020,6200,6380,6560,6740,6920,7100,7280,7460,7640,7820,8000,8185,8371,8556,8741,8926,9112,9297,9482,9668,9853,10038,10224,10409,10594,10779,10965,11150,11335,11521,11706,11891,12076,12262,12447,12632,12818,13003,13188,13374,13559,13744,13929,14115,14300,14480,14660,14840,15020,15200,15380,15560,15740,15920,16100,16280,16460,16640,16820,17000,17180,17360,17540,17720,17900,18080,18260,18440,18620,18800,18980,19160,19340,19520,19700,19880,20060,20240,20420,20600,20793,20986,21179,21371,21564,21757,21950,22143,22336,22529,22721,22914,23300,23471,23642,23813,23984,24155,24326,24497,24668,24839,25010,25181,25352,25523,25694,25865,26036,26207,26378,26549,26720,26891,27062,27233,27404,27575,27746,27917,28088,28259,28430,28601,28772,28943,29114,29285,29456,29627,29798,29969,30140,30311,30482,30653,30824,30995,31166,31337,31508,31679,31850,32026,32202,32378,32554,32730,32906,33082,33258,33434,33610,33786,33962,34138,34314,34490,34666,34843,35019,35195,35371,35547,35723,35899,36075,36251,36427,36603,36779,36955,37131,37307,37483,37659,37835,38006,38177,38348,38519,38690,38861,39032,39203,39374,39545,39716,39887,40058,40229,40400 ys=200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,200,201,205,211,219,230,243,259,277,297,320,345,373,403,435,470,507,542,576,610,642,673,703,732,759,786,812,836,860,882,903,923,942,960,977,993,1008,1022,1034,1046,1056,1065,1073,1080,1086,1091,1095,1098,1099,1100,1099,1098,1095,1092,1087,1081,1075,1067,1058,1049,1038,1026,1013,999,984,968,951,933,914,894,873,851,828,804,779,752,725,697,667,637,606,573,540,505,470,433,398,367,338,312,288,268,250,234,222,212,206,200,201,205,211,219,230,243,259,277,297,320,345,373,403,435,470,505,540,573,606,637,667,697,725,752,779,804,828,851,873,894,914,933,951,968,984,999,1013,1026,1038,1049,1058,1067,1075,1081,1087,1092,1095,1098,1099,1100,1099,1098,1095,1091,1086,1080,1073,1065,1056,1046,1034,1022,1008,993,977,960,943,923,903,882,860,836,812,786,759,732,703,673,642,610,576,542,507,470,435,403,373,345,320,297,277,259,243,230,219,211,205,201,2001.5梁跨:4800.0mm,5300.0mm,18000.0mm,17100.0mm,8200.0mm,2200.0mm1.6裂縫控制等級(jí):2單位約定:力:kN,彎距:kN.m,應(yīng)力:Mpa,長(zhǎng)度:m,鋼筋面積:平方毫米,配筋率:%時(shí)間:2024年9月27日13:0:50二、預(yù)應(yīng)力損失2.1有粘結(jié)預(yù)應(yīng)力筋3損失第1跨截面1截面2截面3截面4截面5截面6截面7截面8截面9損失124.1324.1324.1324.1324.1324.1324.1324.1324.13損失20.001.392.774.155.536.918.299.6713.35損失30.000.000.000.000.000.000.000.000.00損失448.8348.8348.8348.8348.8348.8348.8348.8348.83損失592.8692.6372.6772.3471.9071.3570.6986.1484.13累計(jì)165.8167.0148.4149.5150.4151.2151.9168.8170.4百分比11.9%12.0%10.6%10.7%10.8%10.8%10.9%12.1%12.2%第2跨截面1截面2截面3截面4截面5截面6截面7截面8截面9損失10.000.000.000.000.000.000.000.000.00損失213.3573.57103.61130.50400.61380.75359.18335.18286.89損失30.000.000.000.000.000.000.000.000.00損失448.8348.8348.8348.8348.8348.8348.8348.8348.83損失579.7974.5768.6079.4084.6579.9369.2867.1369.99累計(jì)142.0197.0221.0258.7534.1509.5477.3451.1405.7百分比10.2%14.1%15.8%18.5%38.3%36.5%34.2%32.3%29.1%第3跨截面1截面2截面3截面4截面5截面6截面7截面8截面9損失10.000.000.000.000.0042.25100.31173.03304.34損失2286.89233.86203.56177.39150.35122.7394.7163.390.00損失30.000.000.000.000.000.000.000.000.00損失448.8348.8348.8348.8348.8348.8348.8348.8348.83損失570.2167.1369.6480.6385.1879.5368.4169.1175.18累計(jì)405.9349.8322.0306.8284.4293.3312.3354.4428.3百分比29.1%25.1%23.1%22.0%20.4%21.0%22.4%25.4%30.7%2.2有粘結(jié)預(yù)應(yīng)力筋3張拉力第1跨截面1截面2截面3截面4截面5截面6截面7截面8截面9施工階段1151.51150.41149.21148.01146.91145.71144.61143.41140.3使用階段1032.51031.51047.11046.31045.51044.81044.21030.01028.6平均張拉力，施工階段=1146.7kN，使用階段=1038.9kN第2跨截面1截面2截面3截面4截面5截面6截面7截面8截面9施工階段1160.61110.01084.81062.2835.3852.0870.1890.2930.8使用階段1052.51006.4986.1954.5723.2743.8770.9792.8831.0平均張拉力，施工階段=977.3kN，使用階段=873.5kN第3跨截面1截面2截面3截面4截面5截面6截面7截面8截面9施工階段930.8975.41000.81022.81045.51033.21008.0973.2916.2使用階段830.8878.0901.3914.1932.9925.4909.5874.1812.0平均張拉力，施工階段=989.5kN，使用階段=886.5kN三、等效荷載3.1有粘結(jié)預(yù)應(yīng)力筋33.1.1施工階段3.1.1.1節(jié)點(diǎn)荷載位置(m)Nx(kN)Nz(kN)M(kN.m)0.01146.70.0516.040.4989.50.0445.33.1.1.2分布荷載位置1(m)位置2(m)荷載1(kN/m)5.3008.000-74.48.00014.30031.914.30020.60031.920.60023.300-74.423.30025.865-82.525.86531.85035.331.85037.83535.337.83540.400-82.53.1.2使用階段3.1.2.1節(jié)點(diǎn)荷載位置(m)Nx(kN)Nz(kN)M(kN.m)0.01038.90.0467.540.4886.40.0398.93.1.2.2分布荷載位置1(m)位置2(m)荷載1(kN/m)5.3008.000-66.78.00014.30028.614.30020.60028.620.60023.300-66.723.30025.865-73.925.86531.85031.731.85037.83531.737.83540.400-73.9四、預(yù)應(yīng)力效應(yīng)施工階段:第1跨截面1截面2截面3截面4截面5截面6截面7截面8截面9綜合彎距57.434.712.1-10.6-33.2-55.9-78.6-101.2-123.9主彎距0.00.00.00.00.00.00.00.00.0次彎距57.434.712.1-10.6-33.2-55.9-78.6-101.2-123.9次剪力-37.8-37.8-37.8-37.8-37.8-37.8-37.8-37.8-37.8第2跨截面1截面2截面3截面4截面5截面6截面7截面8截面9綜合彎距456.5401.9347.4292.9238.4183.9129.374.820.3主彎距452.1452.1452.1452.1452.1452.1452.1452.1452.1次彎距4.3-50.2-104.7-159.2-213.7-268.3-322.8-377.3-431.8次剪力-82.3-82.3-82.3-82.3-82.3-82.3-82.3-82.3-82.3第3跨截面1截面2截面3截面4截面5截面6截面7截面8截面9綜合彎距444.5258.5-116.4-348.2-414.5-329.3-74.1306.1520.1主彎距452.1256.8-127.7-368.9-444.6-368.9-123.2247.5452.1次彎距-7.71.811.220.730.139.649.158.568.0次剪力4.2-163.3-139.3-67.64.276.0147.7168.34.2第4跨截面1截面2截面3截面4截面5截面6截面7截面8截面9綜合彎距535.7344.4-49.8-294.1-377.0-299.3-59.0330.4516.9主彎距452.1263.2-128.7-370.7-451.2-371.1-128.5263.3452.1次彎距83.681.378.976.574.271.869.567.164.7次剪力-1.1-177.4-152.2-76.6-1.174.4150.0175.2-1.1第5跨截面1截面2截面3截面4截面5截面6截面7截面8截面9綜合彎距-39.1-27.4-15.7-4.07.619.331.042.754.4主彎距0.00.00.00.00.00.00.00.00.0次彎距-39.1-27.4-15.7-4.07.619.331.042.754.4次剪力11.411.411.411.411.411.411.411.411.4第6跨截面1截面2截面3截面4截面5截面6截面7截面8截面9綜合彎距-0.0-0.0-0.0-0.00.00.00.00.00.0主彎距0.00.00.00.00.00.00.00.00.0次彎距-0.0-0.0-0.0-0.00.00.00.00.00.0次剪力0.00.00.00.00.00.00.00.00.0使用階段:第1跨截面1截面2截面3截面4截面5截面6截面7截面8截面9綜合彎距52.832.111.3-9.4-30.1-50.8-71.5-92.3-113.0主彎距0.00.00.00.00.00.00.00.00.0次彎距52.832.111.3-9.4-30.1-50.8-71.5-92.3-113.0次剪力-34.5-34.5-34.5-34.5-34.5-34.5-34.5-34.5-34.5第2跨截面1截面2截面3截面4截面5截面6截面7截面8截面9綜合彎距417.8367.2316.5265.8215.1164.4113.763.112.4主彎距405.3405.3405.3405.3405.3405.3405.3405.3405.3次彎距12.5-38.1-88.8-139.5-190.2-240.9-291.6-342.2-392.9次剪力-76.5-76.5-76.5-76.5-76.5-76.5-76.5-76.5-76.5第3跨截面1截面2截面3截面4截面5截面6截面7截面8截面9綜合彎距400.3233.1-103.6-311.8-371.8-295.9-67.7272.6463.9主彎距405.3230.2-114.5-330.7-398.6-330.7-110.4221.9405.3次彎距-5.02.910.918.826.834.842.750.758.6次剪力3.5-146.6-125.1-60.83.567.9132.2150.63.5第4跨截面1截面2截面3截面4截面5截面6截面7截面8截面9綜合彎距483.0310.8-43.3-263.0-337.9-268.9-54.2294.2460.8主彎距405.3235.9-115.4-332.3-404.5-332.7-115.2236.0405.3次彎距77.774.972.169.366.663.861.058.255.5次剪力-1.3-159.3-136.7-69.0-1.366.4134.1156.7-1.3第5跨截面1截面2截面3截面4截面5截面6截面7截面8截面9綜合彎距-32.5-22.7-13.0-3.26.616.426.236.045.8主彎距0.00.00.00.00.00.00.00.00.0次彎距-32.5-22.7-13.0-3.26.616.426.236.045.8次剪力9.59.59.59.59.59.59.59.59.5第6跨截面1截面2截面3截面4截面5截面6截面7截面8截面9綜合彎距0.00.00.00.00.00.00.00.00.0主彎距0.00.00.00.00.00.00.00.00.0次彎距0.00.00.00.00.00.00.00.00.0次剪力0.00.00.00.00.00.00.00.00.0五普通鋼筋計(jì)算配筋5.1計(jì)算配筋第1跨,非預(yù)應(yīng)力跨截面1截面2截面3截面4截面5截面6截面7截面8截面9上部筋600878787878787871902配筋率0.250.040.040.040.040.040.040.040.79彎距-3400000-161-260-479軸力000000000組合號(hào)33111111113下部筋600480480480480480480480597配筋率0.250.200.200.200.200.200.200.200.25彎距14417923526511949000軸力000000000組合號(hào)361818181818181838第2跨截面1截面2截面3截面4截面5截面6截面7截面8截面9上部筋118912921292129212921292129212921053配筋率0.260.210.210.210.210.210.210.210.23彎距-558-4980-303-457-639-848-1085-1547軸力000000000組合號(hào)12111111113下部筋12819079079079079079079071240配筋率0.280.150.150.150.150.150.150.150.27彎距542355165000000軸力000000000組合號(hào)333737373737373738第3跨截面1截面2截面3截面4截面5截面6截面7截面8截面9上部筋9026836836836836836836832724配筋率0.200.150.150.150.150.150.150.150.60彎距-963000000-384-2188軸力000000000組合號(hào)111111113下部筋11949739739739739739739731741配筋率0.260.210.210.210.210.210.210.210.38彎距014390113191517122085700軸力000000000組合號(hào)37999999938第4跨截面1截面2截面3截面4截面5截面6截面7截面8截面9上部筋25786836836836836836836831288配筋率0.570.150.150.150.150.150.150.150.28彎距-2154-1060000000-1633軸力000000000組合部筋169823722372237223722372237223721310配筋率0.370.520.520.520.520.520.520.520.29彎距0046214382082221216127090軸力000000000組合號(hào)371414141414141438第5跨,非預(yù)應(yīng)力跨截面1截面2截面3截面4截面5截面6截面7截面8截面9上部筋559500000002564配筋率1.600.000.000.000.000.000.000.000.73彎距-1646-1114-405-100-31-3820軸力000000000組合部筋17361536153615361536153615361536875配筋率0.500.440.440.440.440.440.440.440.25彎距00036450255044624950軸力000000000組合號(hào)37444444438第6跨,非預(yù)應(yīng)力跨截面1截面2截面3截面4截面5截面6截面7截面8截面9上部筋33651625162516251625162516251625744配筋率1.130.550.550.550.550.550.550.550.25彎距-857-749-642-538-435-335-237-120-49軸力000000000組合號(hào)161616161616161616下部筋1107000000051配筋率0.370.000.000.000.000.000.000.000.02彎距000000000軸力000000000組合號(hào)2727272727272727275.2選筋及實(shí)配面積第1跨,非預(yù)應(yīng)力跨左支座跨中右支座上部筋2C252C254C25/3C22實(shí)配面積9829823104換算配筋率0.410.411.29下部筋3C223C223C22實(shí)配面積114011401140換算配筋率0.480.480.48第2跨左支座跨中右支座上部筋4C284C284C28實(shí)配面積246324632463換算配筋率1.221.221.22下部筋4C284C284C28實(shí)配面積246324632463換算配筋率0.540.540.54第3跨左支座跨中右支座上部筋4C284C284C28/4C28實(shí)配面積246324634926換算配筋率1.220.541.76下部筋(2C28)/5C28(2C28)/5C28(2C28)/5C28實(shí)配面積307930793079換算配筋率0.681.350.68第4跨左支座跨中右支座上部筋4C28/4C284C284C28/4C28實(shí)配面積492624634926換算配筋率1.760.541.76下部筋(3C28)/5C28(3C28)/5C28(3C28)/5C28實(shí)配面積307930793079換算配筋率0.681.350.68第5跨,非預(yù)應(yīng)力跨左支座跨中右支座上部筋4C28/4C284C284C28/2C32實(shí)配面積492624634072換算配筋率1.410.701.16下部筋4C25+2C224C25+2C224C25+2C22實(shí)配面積272427242724換算配筋率0.780.780.78第6跨,非預(yù)應(yīng)力跨左支座跨中右支座上部筋4C28/2C324C28/2C324C28/2C32實(shí)配面積407240724072換算配筋率1.371.371.37下部筋2C20+2C182C20+2C182C20+2C18實(shí)配面積113711371137換算配筋率0.380.380.38注：換算配筋率按全截面面積計(jì)算(混凝土結(jié)構(gòu)設(shè)計(jì)規(guī)范GB50010-2010條文說明4.2.3預(yù)應(yīng)力筋配筋位置偏離受力區(qū)較遠(yuǎn)時(shí)，應(yīng)根據(jù)實(shí)際受力情況對(duì)強(qiáng)度設(shè)計(jì)值進(jìn)行折減)。六、應(yīng)力結(jié)果6.1截面屬性:七、正彎承載力第2跨梁頂纖維:截面1截面2截面3截面4截面5截面6截面7截面8截面9Mu219421942194219421942194219421942194Mcr99594313021251119911481096628576MT-558-4980-303-457-639-848-1085-1547Mcr/Mu0.45(ok)0.43(ok)0.59(ok)0.57(ok)0.55(ok)0.52(ok)0.50(ok)0.29(ok)0.26(ok)MT/Mu0.25(ok)0.23(ok)0.00(ok)0.14(ok)0.21(ok)0.29(ok)0.39(ok)0.49(ok)0.71(ok)Mu21073.71073.71073.71073.71073.71073.71073.71073.71073.7梁底纖維:截面1截面2截面3截面4截面5截面6截面7截面8截面9Mu119411941267126712671267126711941194Mcr134185314365416467517492544MB542355165000000Mcr/Mu0.11(ok)0.16(ok)0.25(ok)0.29(ok)0.33(ok)0.37(ok)0.41(ok)0.41(ok)0.46(ok)MB/Mu0.45(ok)0.30(ok)0.13(ok)0.00(ok)0.00(ok)0.00(ok)0.00(ok)0.00(ok)0.00(ok)ξ(x/h0)0.150.150.150.150.150.150.150.150.151073.71073.71097.91097.91097.91097.91097.91073.71073.7第3跨梁頂纖維:截面1截面2截面3截面4截面5截面6截面7截面8截面9Mu221620081574130712181307245828913099Mcr94976695875169276710188381046MT-963-1200000-638-2188Mcr/Mu0.43(ok)0.38(ok)0.61(ok)0.57(ok)0.57(ok)0.59(ok)0.41(ok)0.29(ok)0.34(ok)MT/Mu0.43(ok)0.01(ok)0.00(ok)0.00(ok)0.00(ok)0.00(ok)0.00(ok)0.22(ok)0.71(ok)Mu21073.81073.81073.81073.81073.81073.82081.62081.62081.6梁底纖維:截面1截面2截面3截面4截面5截面6截面7截面8截面9Mu143216412185245225412452218316621453Mcr130299729950101793469326976MB029993414191481118749100Mcr/Mu0.09(ok)0.18(ok)0.33(ok)0.39(ok)0.40(ok)0.38(ok)0.32(ok)0.16(ok)0.05(ok)MB/Mu0.00(ok)0.18(ok)0.43(ok)0.58(ok)0.58(ok)0.48(ok)0.22(ok)0.00(ok)0.00(ok)ξ(x/h0)0.120.160.070.050.050.050.080.290.241339.41339.41372.71372.71372.71372.71396.51321.11321.1第4跨梁頂纖維:截面1截面2截面3截面4截面5截面6截面7截面8截面9Mu309928912458130712181307245828913099Mcr1063874103879672279010278571040MT-2154-34200000-93-1633Mcr/Mu0.34(ok)0.30(ok)0.42(ok)0.61(ok)0.59(ok)0.60(ok)0.42(ok)0.30(ok)0.34(ok)MT/Mu0.70(ok)0.12(ok)0.00(ok)0.00(ok)0.00(ok)0.00(ok)0.00(ok)0.03(ok)0.53(ok)Mu22081.62081.62081.61073.81073.81073.82081.62081.62081.6梁底纖維:截面1截面2截面3截面4截面5截面6截面7截面8截面9Mu145316622183245225412452218316621453Mcr5322866689797990367724476MB0095117992244218315485380Mcr/Mu0.04(ok)0.14(ok)0.31(ok)0.37(ok)0.39(ok)0.37(ok)0.31(ok)0.15(ok)0.05(ok)MB/Mu0.00(ok)0.00(ok)0.44(ok)0.73(ok)0.88(ok)0.89(ok)0.71(ok)0.32(ok)0.00(ok)ξ(x/h0)0.240.290.080.050.050.050.080.090.241321.11321.11396.51372.71372.71372.71396.5