預(yù)應(yīng)力張拉計算書:、計算依據(jù)：根據(jù)《公路橋涵施工技術(shù)規(guī)范》(JTJ041-2000)、計算公式：△L=7ApEpAL=okL1000/Ep式中：^L—理論伸長值(mm)?；稹獜埨瓡r錨下平均控制應(yīng)力(MPa)o前——預(yù)應(yīng)力筋計算段前端控制應(yīng)力o后——預(yù)應(yīng)力筋計算段后端控制應(yīng)力Pp——預(yù)應(yīng)力筋的平均張拉力(N)L 預(yù)應(yīng)力筋的長度(mm)；Ap 預(yù)應(yīng)力筋的截面面積(mm2)；Ep——預(yù)應(yīng)力筋的彈性模量(N/mm2)1、 計算參數(shù)：設(shè)計采用標(biāo)準(zhǔn)強(qiáng)度fpk=1860MPa的低松弛高強(qiáng)度鋼絞線，公稱直徑15.2mm,公稱面積Ap=139mm2),彈性模量EP=1.95x105Mpa,孔道摩擦系數(shù)四=0.25,孔道偏差系數(shù)k=0.0015；張拉端控制應(yīng)力為：o=1339.2(Mpa)K二張拉理論伸長值計算采用兩端對稱張拉，鋼絞線為曲線計算，先按圖紙計算1/2片梁的張拉理論伸長值，分三段計算，A、B、C段，其中A和C段為直線段，B段為曲線段：半幅預(yù)制T梁水平長度1、中跨計算N1伸長值計算:按圖紙計算各段的長度分別是：A=2.044m；B=2.793m；C=2.756m。0=2.793/40=0.069825弧長/半徑A段計算：KL+p0=kL+圜=0.00243xl.591+0.577x0=0.003866131-e-(kL+時)=1-e-0.00386613=0.003858537本段摩阻損失O=O(-e-(kL+^9)M1255.0928x0.003858537=4.8430(MPa)本段終點(diǎn)應(yīng)力(Mp)o=oA-o摩=1255.0928-4.8430=1250.2552(MPa)平均張拉應(yīng)力(Mp)O均=(O]0+oA)/2=(1225.0928+1250.2552)/2=1252.6767(MPa)孔=o均L1000/人尸=12542.6767x1.591x1000-200000=9.9650mmB段計算：kL+圜=0.00243x1.194+0.577x0.066333=0.0411755611-e(kL+期)=1-e0.041175=50.041885179本段摩阻損失( )O=O\-e(kL+^9)'=1250.2552x0.041885179=50.4347(MPa)本段終點(diǎn)應(yīng)力(Mp)OB=OA-o摩=1250.2552-50.4347=1199.8205(MPa)平均張拉應(yīng)力(Mp)O均=(OA+oB)/2(1250.2552+1199.8205)/2=1225.0378(MPa)ALB=o均L1000/人尸=1225.0378x1.194x1000-200000=7.3143mmC段計算：kL+圜=0.00243x13.38+0.577x0=0.033531-e-(kL+陽)=1-e-0.03353=0.03199本段摩阻損失( )o=o\-e-(kL+^e)=1225.0378X0.03199=38.3829(MPa)本段終點(diǎn)應(yīng)力(Mp)o=o」o摩=1225.0378-38.3829=1166.4376(MPa)平均張拉應(yīng)力(Mp)o均=(oB+oC)/2=(1225.0378+1166.4376)/2=1180.6291(MPa)ALC=o均L1000/氣=1180.6291x13.38x1000-200000=78.9841mmN1理論伸長值：A%(ALA+ALB+ALC+AL頂)x2=201.2300mmN2伸^值計算：按圖紙計算各段的長度分別是：A=1.08m；B=2.356m；C=12.74m。0=2.356/18=0.131(rad)弧長/半徑A段計算：kL+圜=0.00243x1.08+0.577x0=0.002621-e-(kL+^e)=1-e-0.00386613=0.002621本段摩阻損失/ )o=o\-e-(kL+^e)=1255.0982X0.002621=3.2896(MPa)本段終點(diǎn)應(yīng)力(Mp)oA=o10-o摩=1255.0982-3.2896=1251.8087(MPa)平均張拉應(yīng)力(Mp)o均=(o10+oA)/2=(1255.0982+1251.8087)/2=1253.4535(MPa)ALA=o均L1000/氣=1253.4535x1.591x1000-200000=6.7686mmB段計算：kL+|10=0.00243x2.356+0.577X0.1309=0.081251-e(kfe)=1-e0.081250.078035本段摩阻損失( )o=o\e(kL+陽)=1251.8087X0.078035=97.6848(MPa)本段終點(diǎn)應(yīng)力(Mp)氣=o」O摩=1251.8087-97.6848=1154.1238(MPa)平均張拉應(yīng)力(Mp)o均=(oA+oB)/2=(1251.8087+1154.1238)/2=1202.9663(MPa)ALB=o均L1000/人尸=1220.9663x2.356x1000-200000=14.1709秫秫C段計算：kL+圜=0.00243x12.74+0.577x0=0.030961-e-(kL+^Q)=1-e-0.03353=0.03048本段摩阻損失( )o=o\-e-(kL+^9)=1154.1238x0.03048=35.1822(MPa)本段終點(diǎn)應(yīng)力(Mp)oc=氣-o摩=1154.1238-35.1822=1118.9416(MPa)平均張拉應(yīng)力(Mp)o均=(oB+oc)/2=(1154.1238+1118.9416)/2=1136.5327(MPa)ALc=o均L1000/人尸=1136.5327x12.74x1000-200000=72.3971mmN2理論伸長值：A%(ALa+ALB+ALc+AL頂)x2=195.3783mmN3伸長值計算：按圖紙計算各段的長度分別是：A=3.546m；B=5.236m；C=7.434m。0=5.236/40=0.130(rad)弧長/半徑A段計算：kL+圜=0.00243x3.546+0.577x0=0.0086171-e-(kL+^0)=1-e-0.008617=0.008579本段摩阻損失( )o=o\-e-(kL+陽)=1255.9018x0.008579=10.7753(MPa)本段終點(diǎn)應(yīng)力(Mp)oA=o9-o摩=1255.9018-10.7753=1245.1264(MPa)平均張拉應(yīng)力(Mp)o均=(o9+oa)/2=(1255.9018.+1245.1264)/2=1250.5141(MPa)ALA=。均L1000/人尸=1250.5141x3.546x1000-200000=22.1716mmB段計算：kL+圜=0.00243x5.236+0.577X0.1309=0.0882531-e-(kL+^Q)=1-e-0.088253=0.08447本段摩阻損失( )o=o\e(kL+^e)=1245.1264X0.084777=105.1766(MPa)本段終點(diǎn)應(yīng)力(Mp)OB=oA-o摩=1245.1264-105.1766=1139.9499(MPa)平均張拉應(yīng)力(Mp)o均=(oA+oB)/2=(1139.9499+1245.1264)/2=1192.5381(MPa)ALB=o均L1000/氣=1192.5381x5.236x1000-200000=31.2206mmC段計算：kL+^0=0.00243x7.434+0.577x0=0.01811-e-(kL+^9)=1-e-0.0181=0.017902本段摩阻損失( )o=o\-e-(kL+陽)=1139.9499x0.017902=20.407(MPa)本段終點(diǎn)應(yīng)力(Mp)oc=oB-o摩=1139.9499-20.4079=1119.5419(MPa)平均張拉應(yīng)力(Mp)o均=(oB+oc)/2=(1139.9499+1119.5419)/2=1129.7459(MPa)AL^=o均L1000/氣=1129.7459x7.434x1000-200000=41.9926mmN3理論伸長值：A%=(ALA+ALB+ALc+AL頂)x2=199.475mmN4伸長值計算：按圖紙計算各段的長度分別是：A=4.542m；B=5.236m；C=6.446m。0=5.236/40=0.130(rad)弧長/半徑A段計算：kL+|10=0.00243x4.542+0.577x0=0.0110371-e-(kL+siQ)=1-e-0.011037=0.010976本段摩阻損失( )o=o\-e-(kL+^e)=1255.9017x0.010976=13.7852(MPa)本段終點(diǎn)應(yīng)力(Mp)o^=o9-o摩=1255.9017-13.7852=1242.1165(MPa)平均張拉應(yīng)力(Mp)o均=(o9+oA)/2=(1225.9017+1242.1165)/2=1249.009(MPa)ALA=o均L1000/人尸=1249.0091x4.542x1000-200000=28.3650mmB段計算：kL+圜=0.00243x5.236+0.577x0.1309=0.0882531-e-(kL+^e)=1-e-0.088253=0.08447本段摩阻損失( )o=o\-e(kL+^e)=1242.1165x0.08447=104.9223(MPa)本段終點(diǎn)應(yīng)力(Mp)oB=oA-o摩=1242.1165-104.9223=1137.1942(MPa)平均張拉應(yīng)力(Mp)o均=(oA+oB)/2=(1242.1165+1137.1942)/2=1189.655(MPa)ALB=o均L1000/人尸=1189.6554x5.236x1000-200000=31.1452mmC段計算：kL+圜=0.00243x6.446+0.577x0=0.01566371-e-(kL+^e)=1-e-0.0156637=0.015542本段摩阻損失( )o=o\-e-(kL+^e)=1137.1942x0.015542=17.6740(MPa)本段終點(diǎn)應(yīng)力(Mp)oc=oB-o摩=1137.1942-17.6740=1119.5202(MPa)平均張拉應(yīng)力(Mp)o均=(oB+oc)/2=(1137.1942+1119.5202)/2=1128.3572(MPa)ALc=o均L1000/人尸=1128.3572x6.446x1000-200000=36.3669mmN4理論伸長值：AL1=(吃+%+^LC+里頂)x2=200.4591mmN5伸長值計算：按圖紙計算各段的長度分別是：A=4.886m；B=5.236m；C=6.104m。0=5.236/40=0.1309(rad)弧長/半徑A段計算：kL+圜=0.00243x4.866+0.577x0=0.011871-e-(kL+^0)=1-e-0.01187=0.01180本段摩阻損失( )o=o\-e-(kL+^o)=1255.9081x0.01180=14.8231(MPa)本段終點(diǎn)應(yīng)力(Mp)oC=oB-o摩=1255.9081-14.8231=1241.0786(MPa)平均張拉應(yīng)力(Mp)o均=(o9+oA)/2=(1255.9081+1241.0786)/2=1248.5902(MPa)ALA=o均L1000/人尸=1248.5902x4.886x1000-200000=30.5006mmB段計算：kL+|i0=0.00243x5.236+0.577x0.1309=0.0882531-e-(kL+^0)=1-e-0.088253=0.08447本段摩阻損失( )o=o\-e(kL+陽)'=1248.5902x0.08447=104.8346(MPa)本段終點(diǎn)應(yīng)力(Mp)oB=oA-o摩=1248.5902-104.8346=1136.2446(MPa)平均張拉應(yīng)力(Mp)o均=(oA+oB)/2(1248.5902+1136.2446)/2=1188.6613(MPa)ALB=o均L1000/氣=1188.6613x5.236x1000-200000=31.1192mmC段計算：kL+|i0=0.00243x6.104+0.577x0=0.0148371-e-(kL+^0)=1-e-0.014837=0.014723本段摩阻損失( )o=o\-e-(kL+^e)=1188.6613x0.014723=16.7292(MPa)本段終點(diǎn)應(yīng)力(Mp)oc=oB-o摩=1188.6613-16.7292=1119.5148(MPa)平均張拉應(yīng)力(Mp)o均=(oB+oc)/2=(1188.6613+1119.5148)/2=1127.8794(MPa)ALc=o均L1000/氣=1127.8794x6.104x1000-200000=34.4229mmN5理論伸長值：件=(^LA+ALB+R+里頂)x2=200.7901mmN6伸長值計算：按圖紙計算各段的長度分別是：A=6.036m；B=5.236m；C=4.965m。0=5.236/40=0.130(rad)弧長/半徑A段計算：kL+圜=0.00243x6.036+0.577x0=0.01466751-e-(kL+^e)=1-e-0.0146675=0.0145604本段摩阻損失( )o=o\-e-(kL+陽)=1255.9018x0.0145604=18.2865(MPa)本段終點(diǎn)應(yīng)力(Mp)o^=氣-o摩=1255.9018-18.2865=1237.6152(MPa)平均張拉應(yīng)力(Mp)o均=(o9+oA)/2=(1255.9018+1237.6152)/2=1246.7585(MPa)ALA=o均L1000/人尸=1246.7585x6.036x1000-200000=37.6271mmB段計算：kL+|10=0.00243x5.236+0.577x0.1309=0.0882531-e-(kL+^0)=1-e-0.088253=0.08447本段摩阻損失( )o=o\-e(kL+^e)b=1237.6152x0.08447=104.5421(MPa)本段終點(diǎn)應(yīng)力(Mp)氣=o」O摩=1237.6152-104.5421=1133.0732(MPa)平均張拉應(yīng)力(Mp)o均=(oA+oB)/2=(1237.6152+1133.0732)/2=1185.3442(MPa)ALB=o均L1000/人尸=1185.3442x5.236x1000-200000=31.0323mmC段計算：kL+圜=0.00243x4.965+0.577x0=0.0120651-e-(kL+^Q)=1-e-0.012065=0.0119925本段摩阻損失( )o=o\-e-(kL+^9)=1133.3442x0.0119925=13.5883(MPa)本段終點(diǎn)應(yīng)力(Mp)oc=氣-o摩=1133.3442-13.5883=1119.4849(MPa)平均張拉應(yīng)力(Mp)o均=(oB+oc)/2(1133.3422+1119.4849)/2=1126.2790(MPa)ALc=o均L1000/人尸=1126.2790x4.965x1000-200000=27.9599mmN6理論伸長值：AL1(ALa+ALB+ALc+AL頂)x2=201.9435mmN7伸長值計算：按圖紙計算各段的長度分別是：A=7.185m；B=5.236m；C=3.826m。0=5.236/40=0.130(rad)弧長/半徑A段計算：kL+圜=0.00243x6.036+0.577x0=0.0174591-e-(kL+^0)=1-e-0.017459=0.017308本段摩阻損失( )o=o\-e-(kL+陽)=1255.9018x0.017308=32.625(MPa)本段終點(diǎn)應(yīng)力(Mp)oc=oB-o摩=1255.9018-32.6251=1232.2767(MPa)平均張拉應(yīng)力(Mp)o均=