30米箱梁鋼絞線理論伸長(zhǎng)量計(jì)算書

1、30m箱梁鋼絞線理論伸長(zhǎng)量計(jì)算書以下計(jì)算中k取0.0015,卩取0.17，千斤頂工作長(zhǎng)度為43cm。N1、N2、N3鋼束豎彎角均為1 5 ： 0.087rad,平彎角均為 2 1.8： 0.031rad, N 4豎彎角 3 1.40.024rad。張拉控制應(yīng)力con1350MPa,預(yù)應(yīng)力筋彈性模量 Ep=1.95 105。1、N1(1)l AB72.1 43115.1(cm) 1.151(m)1 ABcon1 ABEp1350 1.1510.008m 8mm195000(2)曲線段BClBC78.5cm0.785mklBC20.0015 0.785 0.17 0.0310.00651 BCco

2、nBC 1EpklBC 21350 0.7852195000咤 0.005m 5mm(3)直線段CD首先求出CD段起點(diǎn)截面C處預(yù)應(yīng)力筋張拉應(yīng)力:1 CD673.1cm6.731mcone (klBC2)1350 e 0.00651341.23MPa!cdCD1341.23 6.731Ep1950000.046m46 mm、N1鋼束非連續(xù)端伸長(zhǎng)量計(jì)算: 直線段AB(4) 曲線段DElDE392.7 cm 3.927 mklDE10.0015 3.9270.17 0.0870.0207DEDE 1 klBC2Ep21341.23 3.927 ,1195000啤70.027m 27mmlEF270.

3、3cm2.703mlEFe (klDEeIefEp1)1341.23 e1313.72 2.7031950000.02071313.72MPa0.018m 18mm通過(guò)以上計(jì)算可知N1非連續(xù)端的總伸長(zhǎng)量:l1l AB l BCIcDl DE l EF 85 46 27 18104(mm)2、N1(1)連續(xù)端伸長(zhǎng)量計(jì)算:直線段AB1 AB72.1 43115.1(cm) 1.151(m)1 ABcon1 ABEp1350 1.1510.008m 8mm195000(2)曲線段BClBC78.5cm0.785mklBC20.0015 0.785 0.17 0.0310.0065l BCcon 1B

4、C 1k1 BC1350 0.7851950000.00650.005m 5mm(3)直線段CD首先求出CD段起點(diǎn)截面C處預(yù)應(yīng)力筋張拉應(yīng)力:l CD843.7cm8.437 mcone (klBC2)1350 e 0.00651341.23MPaCDJcdEp13423 跆370.058m 58mm195000(4) 曲線段DElDE392.7 cm 3.927 mk1DE10.0015 3.9270.17 0.0870.0207lDEJde 1Epk1 BC1341.23 3.9271950000.02070.027m 27mm(5) 直線段EF首先求出EF段起點(diǎn)截面E處預(yù)應(yīng)力筋張拉應(yīng)力:I

5、ef88.9cm0.889me (klDE1)1341.23 e0.02071313.72MPa1efe1efEp1313.72 0.8891950000.006m 6mm通過(guò)以上計(jì)算可知N1連續(xù)端的總伸長(zhǎng)量:121 AB 1BC 1 CD1 DEIef5 58 276104(mm)綜上計(jì)算可以得出以下結(jié)果：30m箱梁邊跨N1鋼束總伸長(zhǎng)量:l邊N111 12104104208( mm)30m箱梁中跨N1鋼束總伸長(zhǎng)量:1中N12 121042208(mm)1、(1)1 AB72.1 43115.1(cm) 1.151(m)1 ABcon1 ABEp1350 皿10.008m 8mm195000(

6、2)曲線段BClBC78.5cm0.785mklBC20.0015 0.785 0.17 0.0310.00651 BCcon 1 BC 1 kl BCEp1350 0.785 ,1195000津 0.005m 5mm、N2鋼束N2非連續(xù)端伸長(zhǎng)量計(jì)算: 直線段AB(3)直線段CD首先求出CD段起點(diǎn)截面C處預(yù)應(yīng)力筋張拉應(yīng)力:1 CD512.4cm5.124mcone(%2)1350 e°.00651341.23MPalCDClCDEp13423 51240.035m 35mm195000(4) 曲線段DElDE392.7 cm 3.927 mklDE10.0015 3.9270.17

7、0.0870.0207lDEJde 1Epkl BC1341.23 3.9271950000.02070.027m 27mmlEF430.3cm4.303m1)1341.23 e0.02071313.72MPaIefeIef1313.72 4.303Ep1950000.029m 29mm通過(guò)以上計(jì)算可知N2非連續(xù)端的總伸長(zhǎng)量:l11 AB lBClCD1 DE lEF5 35 2729104(mm)2、N2連續(xù)端伸長(zhǎng)量計(jì)算:(1)直線段AB1 AB72.1 43115.1(cm)1.151(m)1 ABcon1 ABEp195000(2)曲線段BCklBC1 BCcon 1 BC iEpk1

8、BC21350 0.785 ,1195000(3)直線段CD首先求出CD段起點(diǎn)截面C處預(yù)應(yīng)力筋張拉應(yīng)力:1CD 683.1cm6.831mCcon|e(k1BC 2) 1350 e 0.0065 1341.23MPaC1CD1341.23 6.831lCD -C竺0.047m 47mmEP195000(4)曲線段DElDE 392.7 cm 3.927 mklDE10.0015 3.9270.17 0.0870.0207DEclDEEpklBC221341.23 3.9270.02071 -19500020.027 m 27mm(5) 直線段EF首先求出EF段起點(diǎn)截面E處預(yù)應(yīng)力筋張拉應(yīng)力:EF

9、 251cm2.51m(klDEEC |e1)1341.230.0207e1313.72MPaleief1313.72 2.510.017m 17mmlEF e匚P195000通過(guò)以上計(jì)算可知N2連續(xù)端的總伸長(zhǎng)量:121ab 1bc1cd1de1ef 8 5 47 27 17 104(mm)綜上計(jì)算可以得出以下結(jié)果：30m箱梁邊跨N2鋼束總伸長(zhǎng)量：l 邊 N2l1l2 104 104 208(mm)30m箱梁中跨N2鋼束總伸長(zhǎng)量：I中N2 2 l2104 2208(mm)三、N3鋼束1、N3非連續(xù)端伸長(zhǎng)量計(jì)算：(1)直線段ABlAB 72.1 43 115.1(cm) 1.151(m), co

10、nlAB 1350 1.151 cccc clAB 0.008m 8mmEp195000klBC1 BCcon 1 BC 1Epkl BC221350 0.785 1195000津 0.005m 5mm(3)直線段CD首先求出CD段起點(diǎn)截面C處預(yù)應(yīng)力筋張拉應(yīng)力:1 CD371.8cm3.718mcone (k|BC»1350 e°.00651341.23MPalCDClCD1341.23 3.718Ep1950000.026m26 mm(4) 曲線段DEIde392.7 cm 3.927 mklDE10.0015 3.9270.17 0.0870.0207lDEDE 1Ep

11、kl BC21341.23 3.927 ,1195000啤70.027m 27mm(5) 直線段EF首先求出EF段起點(diǎn)截面E處預(yù)應(yīng)力筋張拉應(yīng)力:Ief570.3cm5.703me (klDE1)1341.23 e0.02071313.72MPaIefeIef1313.72 5.703Ep1950000.038m 38mm通過(guò)以上計(jì)算可知N3非連續(xù)端的總伸長(zhǎng)量:l11 ABlBClCD1 DE lEF5 26 27 38104(mm)2、N3連續(xù)端伸長(zhǎng)量計(jì)算:(1)直線段AB1 AB72.1 43115.1(cm)1.151(m)1 ABcon1 ABEp1350 1.1510.008m 8mm

12、195000(2)曲線段BClBC78.5cm0.785mklBC20.0015 0.785 0.17 0.0310.00651 BCcon 1 BC 1Epkl BC21350 °.785 11950000.00650.005m 5mm直線段CD首先求出CD段起點(diǎn)截面cone (kllCDCDEp空空些 0.035m 35mm195000(4) 曲線段DElDE392.7 cm 3.927 mklDE10.0015 3.9270.17 0.0870.0207lDEcDE 1 kl bc1341.23 3.927 ,1195000潭 0.027m 27mm(5) 直線段EF首先求出E

13、F段起點(diǎn)截面E處預(yù)應(yīng)力筋張拉應(yīng)力:Ief431.2cm4.312mIefe (klDE1)1341.23 e0.02071313.72MPaeIefEp1313.72 4.3121950000.029m 29mm通過(guò)以上計(jì)算可知N3連續(xù)端的總伸長(zhǎng)量:2 l AB IbC IcDIdeIef 85 35 27 29104(mm)綜上計(jì)算可以得出以下結(jié)果：30m箱梁邊跨N3鋼束總伸長(zhǎng)量:l邊N3l1l2104104208(mm)30m箱梁中跨N3鋼束總伸長(zhǎng)量:l中N3l2104 2208( mm)1、(1)I AB208.6 43251.6(cm)2.516(m)lABconlAB1350 2.5

14、16Ep1950000.017m 17mm(2)曲線段BClBC73.3cm0.733mklBC30.0015 0.7330.17 0.0240.0064l BCcon1kl BC1350 0.733Ep1950000.00640.005m 5mm四、N4鋼束N4非連續(xù)端伸長(zhǎng)量計(jì)算: 直線段AB直線段CD首先求出CD段起點(diǎn)截面l CD1201.8cm 12.018mcon(klBC3)0.0064BC 1350 e1341.33MPalCDcIcd 1341.33 12.018Ep1950000.083m 83mm通過(guò)以上計(jì)算可知N4非連續(xù)端的總伸長(zhǎng)量:l AB l BC lCD 178310

15、5(mm)2、N4連續(xù)端伸長(zhǎng)量計(jì)算:（1）直線段AB207.2 43250.2(cm)2.502(m)!abconB1350 2.502Ep1950000.017m 17mm(2)曲線段BClBC73.3cm0.733mklBC30.0015 0.7330.17 0.0240.0064l BCcon l BC 1Epkl BC231350 0.733 1195000咤 0.005m5mm(3)直線段CD首先求出CD段起點(diǎn)截面C處預(yù)應(yīng)力筋張拉應(yīng)力:l CD1187.8cm 11.878mcon(klBC3)0.0064e ( BC 3)1350 e1341.33MPalCDClCD 1341.3

16、3 11.878Ep1950000.082m 82mm通過(guò)以上計(jì)算可知N4連續(xù)端的總伸長(zhǎng)量:l2l ABl BClCD 1782104( mm)綜上計(jì)算可以得出以下結(jié)果：30m箱梁邊跨N4鋼束總伸長(zhǎng)量:l邊N4l2105104209( mm)30m箱梁中跨N4鋼束總伸長(zhǎng)量:l中N4l2104 2208(mm)30m箱梁預(yù)應(yīng)力鋼束伸長(zhǎng)量匯總表鋼束 編號(hào)邊跨中跨理論伸長(zhǎng)量(cm)實(shí)測(cè)伸長(zhǎng)量浮動(dòng)值(土6%)(cm)理論伸長(zhǎng)量(cm)實(shí)測(cè)伸長(zhǎng)量浮動(dòng)值(土 6%)(cm)N120.819.6-22.020.819.6-22.0N220.819.6-22.020.819.6-22.0N320.819.6-22.020.819.6-22.0N420.919.6-22.220.819.6-22.0如若考慮錨口預(yù)應(yīng)力損失，超張拉3%,則張拉控制應(yīng)力con 1350 1.03 139