預應力張拉伸長量計算書

1、、鋼絞線伸長量計算1. 計算依據(jù) 公路橋涵施工技術規(guī)中公式（12.8.3-1）; 公路橋涵施工技術規(guī)中附錄 G-8預應力筋平均拉力的計算； 海濱大道北段二期（疏港三線立交蟶頭沽）設計圖紙 。2 計算公式：PpLAp Ep(12.8.3-1)PpP(1 e(kx)kx(附錄G-8)conAp連續(xù)端非連續(xù)端N117.165N117. 325N217.205N217. 315N317.240N317. 300N417.270N417. 300N517.305N517. 275其中：x從拉端至計算截面的孔道長度（m,取拉端到跨中孔道長度;從拉端至計算截面曲線孔道部分切線的夾角之和（rad ）,取8.5

2、 o即0.148353rad;k 孔道每米局部偏差對摩擦的影響系數(shù)，本工程采用塑料波紋管，取0.0015 ；s預應力筋與孔道壁的摩擦系數(shù)，本工程采用15.2mm高強低松弛鋼絞線及塑料波紋管孔道，根據(jù)圖紙取 0.17 ;P 預應力筋拉端的拉力（N）;Ap 預應力筋的截面面積（mm）;con 拉控制應力（MPa，根據(jù)圖紙取0.73 fpk ；Pp 預應力筋平均拉力（N）;L 預應力筋的長度（mr）取拉端到跨中鋼絞線長度;中跨邊跨N117165N117325N217205N217315N317240N317300N417270N417300N517305N517275Ep 鋼絞線彈性模量，本工程采用

3、s 15.2mm高強低松弛鋼絞線，根據(jù)試驗取51.91 10 MPa （鋼絞線彈性模量檢測報告附后）L 理論伸長值（mr）3伸長值計算 連續(xù)端N1con Ap0.73 f pkApkAp 0.73 1860 140 4 760368 NPpP(1 e(kxkx)(0.0015 17.165 0.17 0.148353)760368 (1 e ()0.0015 17.165 0.17 0.148353741316.02NPpLAp Ep741316。2 17165 119.0mm140 4 1.91 105連續(xù)端N2con Ap 0.73 f pkApkAp 0.73 1860 140 4 76

4、0368 NPpP(1 e (kxkx)(0.0015 17.205 0.17 0.148353)、丿)760368 (1 e)0.1483530.0015 17.2050.17741293.97 NPpL7412939717205 伍靳口Ap Ep140 4 1.91 105連續(xù)端N3Ppcon Ap0.73 fpkAp 0.73 1860 140 4760368 N0.17 0.148353)0.0015 17.24 0.17 0.148353P(1 e (kx)760368 (1 e kx741274.68 NPpLAp Ep74127468 17240 119.5mm140 4 1.9

5、1 105連續(xù)端N4conAp0.73 fpkApkAp 0.73 1860 140 4 760368 NPp(kx)(0.0015 17.27 0.17 0.148353)P(1 e ()760368 (1 e ()kx)0.0015 17.270.17 0.148353741258.14NPpLAp Ep741258"仃鎮(zhèn) 119.7mm140 4 1.91 105連續(xù)端N5conAp 0.73 fpkAp 0.73 1860 140 4 760368 NPpP(1 e (kx )760368 (1 ekx(0.0015 17.305 0.17 0.148353)0.0015 1

6、7.3050.17 0.148353741238.85NPpLAp Ep74123885 17305 119.9mm140 4 1.91 105非連續(xù)端N1Acon p0.73 fpkAp 0.73 1860 140 4760368 NPpP(1 ekx(kx )(0.0015 17.325 0.17 0.148353)760368 (1 e ()0.0015 17.3250.17 0.148353741227.83 NPpLAp Ep74122783 I：?5 120.1mm140 4 1.91 105非連續(xù)端N2Acon p0.73 fpkAp 0.73 1860 140 4760368

7、NPpP(1 ekx(kx)(0.0015 17.315 0.17 0.148353)、(丿)760368 (1 e (丿)0.1483530.0015 17.3150.17741233.34 NAp Ep74123334 17315 120.0mm140 4 1.91 105非連續(xù)端N30.73fpkAp 0.73 1860 140 4760368NPp0.17 0.148353)0.0015 17.3 0.17 0.148353P(1 e (kx)760368 (1 e kx741241.61NPpLAp Ep741241.61 17300140 4 1.91 105119.9mm非連續(xù)端

8、N4PconAp0.73fpkAp 0.73 1860 140 5 950460 NPp926552.01NP(1 e (kx)950460(1 e Q00151" “48353)kx0.0015 17.3 0.17 0.148353PpLAp Ep92655201 17300140 5 1.91 105119.9mm非連續(xù)端N5PconAp0.73fpkAp 0.73 1860 140 5 950460NPp(kx )(0.0015 17.275 0.17 0.148353)、P(1 e 丿)950460 (1 e (丿)kx0.0015 17.2750.17 0.14835392

9、6569.24NPpL926569.24 17275140 5 1.91 105119.7mm由以上計算結果得出：中跨箱梁理論伸長值如下N1 119.0 2238.0mmN2 119.2 2238.4mmN3 119.5 2239.0mmN4 119.7 2239.4mmN5 119.9 2239.8mm邊跨箱梁理論伸長值如下N1 119.0 120.1 239.1mmN2 119.2 120.0239.2mmN3 119.5 119.9 239.4mmN4 119.7 119.9 239.6mmN5 119.9 119.7 239.6mm、壓力表讀數(shù)計算1. 計算依據(jù) 海濱大道北段二期（疏港

10、三線立交蟶頭沽）設計圖紙； 千斤頂標定報告09-JZ163178；（報告附后）2. 計算公式千斤頂力與壓力表讀數(shù)對應關系如下式：y ax b其中：y 千斤頂力（KN;x 壓力表讀數(shù)（MPa； a , b 常系數(shù)。力與應力關系如下式：conAp各項代表意義同伸長值計算。3. 油表讀數(shù)計算1#油泵，千斤頂編號090201,壓力表編號1269;千斤頂證書號:09-JZ163y = 19.19X + 6.46892R = 0.9998由上圖可知：y 19.19X 6.4689，則壓力表讀數(shù)計算如下:4束鋼絞線:P 0.73 1860 140 4 760368N760.368KN15%空制應力時:y 0

11、.15P0.15 760.368114.06KNy 6.4689114.06 6.468919.1919.195.6Mpa30%空制應力時:y 0.3P0.3 760.368228.11KNy 6.468919.19228.11 6.468919.1911.5Mpa100%空制應力時:P 760.368KNy 6.468919.19760.368 6.468919.1939.3Mpa5束鋼絞線:0.731860140 5950460N950.46KN15%空制應力時:0.15P0.15 950.46142.57KN6.4689142.57 6.4689y19.1919.197.1Mpa30%空

12、制應力時:y 0.3P0.3 950.46285.14KNy 6.468919.19285.14 6.4689罰14.5Mpa100%空制應力時:P 950.46KNy 6.468919.1995°.46 64689 49.2Mpa19.1919.065x2.2376，則壓力表讀數(shù)計算如下:2#油泵，千斤頂編號090202,壓力表編號9023；由上圖可知：y4束鋼絞線:0.73 I860 140 4 760368N760.368KN15%空制應力時:y 0.15P0.15 760.368114.06KNy 22376114-06 22376 5.9Mpa19.06519.06530%

13、空制應力時:y 0.3P0.3 760.368228.11KNy 2.237619.065228.11 2.237619.06511.8Mpa100%空制應力時:P 760.368KNy 2.237619.065760.368 2.237619.06539.8Mpa5束鋼絞線:沁 142.57 空376 7.4Mpa19.06519.06530%空制應力時:y 0.3P0.3 950.46285.14KNy 2.237619.065285.14 2237614.8Mpa19.065100%空制應力時:950.46 2.237649.7Mpa 19.065口由上圖可知：y19.193x 1.34

14、31，則壓力表讀數(shù)計算如下:P 950.46KNy 2.237619.065 3#油泵，千斤頂編號090302,壓力表編號1259；4束鋼絞線:0.73 1860 140 4 760368N760.368KN15%空制應力時:y 0.15P0.15 760.368114.06KN山迪 114-06 1.3431 5.9Mpa19.19319.19330%空制應力時:y 0.3P0.3 760.368228.11KNy 1.343119.19322834311119.193100%空制應力時:P 760.368KNy 1.3431760.368 1.3431“ “x39.5Mpa19.19319

15、.1935束鋼絞線：P 0.73 1860 140 5950460N950.46KN15%空制應力時：y 0.15P0.15 950.46142.57KNy 1.3431142.57 1.3431x7.4Mpa19.19319.19330%空制應力時：y 0.3P0.3 950.46285.14KNy 1.3431285.14 1.3431x14.8Mpa19.19319.193100%空制應力時:y P 950.46KNy 1.3431950.46 1.3431x49.5Mpa19.19319.1934#油泵，千斤頂編號090303，壓力表編號8823;千斤頂證書號：09-JZ170y =

16、19.047X + 2.1925R2 = 0.9999由上圖可知：y 19.047X2.1925，則壓力表讀數(shù)計算如下:4束鋼絞線：19.04721925 11406 21925 5.9Mpa 19.04730%空制應力時:y 0.3P0.3 760.368228.11KNy 2.192519.047228.11 2.192519.04711.9Mpa100%空制應力時:P 760.368KNy 2.192519.047760.368 2.192519.04739.8Mpa5束鋼絞線:0.731860140 5950460N950.46KN15%空制應力時:0.15P0.15 950.4614

17、2.57KN2.1925142.572.19257pay19.04719.04730%空制應力時:y 0.3P0.3 950.46285.14KNy 2.192519.04728514 2192514.9Mpa19.047100%空制應力時:P 950.46KNy 2.192519.04795046 2"925 49.8Mpa19.0475#油泵，千斤頂編號090304,壓力表編號1199;由上圖可知：y19.071x 0.6931，則壓力表讀數(shù)計算如下:4束鋼絞線:0.73 1860 140 4 760368N760.368KN15%空制應力時:y 0.15P0.15 760.36

18、8114.06KNy °.693111406 °.6931 6.0Mpa19.07119.07130%空制應力時:y 0.3P0.3 760.368228.11KNy 0.693119.071228.11 0.693119.07112.0Mpa100%空制應力時:P 760.368KNy 0.693119.071760.368 0.693119.07139.9Mpa5束鋼絞線:X "19.071O.6931142.57 O.6931 7.5Mpa19.07130%空制應力時:y 0.3P0.3 950.46285.14KN285.14 0.693119.07115

19、.0Mpay 0.6931 x19.071100%空制應力時：y P 950.46KN山理 95°.46 °693149.9Mpa19.07119.0716#油泵，千斤頂編號090305,壓力表編號9523;千斤頂證書號：09-JZ173y = 19.311x + 1.4319R = 0.9998壓力表讀數(shù)（Mpa由上圖可知：y 19.311X 1.4319，則壓力表讀數(shù)計算如下:4束鋼絞線:P 0.73 1860 140 4 760368N760.368KN15%空制應力時:y 0.15P0.15 760.368114.06KNy 1.431919.311114.06 1

20、.431919.3115.8Mpa30%空制應力時:y 0.3P0.3 760.368228.11KNx 以竺 228.11 14319 11.7Mpa19.31119.311100%空制應力時:P 760.368KNy 1.4319760.368 1.4319x39.3Mpa19.31119.3115束鋼絞線：P 0.73 1860 140 5950460N950.46KN15%空制應力時：y 0.15P0.15 950.46142.57KNy 1.4319142.57 1.4319x7.3Mpa19.31119.31130%空制應力時：y 0.3P0.3 950.46285.14KNy 1

21、.4319285.14 1.4319x14.7Mpa19.31119.311100%空制應力時:y P 950.46KNy 1.4319950.46 1.4319“ x49.1Mpa19.31119.3117#油泵，千斤頂編號090306,壓力表編號1089;千斤頂證書號：09-JZ175y = 19.351x + 3.5574R2 = 0.9999由上圖可知：y 19.351X 3.5574，則壓力表讀數(shù)計算如下：4束鋼絞線：30%空制應力時:y 0.3P0.3 760.368228.11KNy 3.557419.351228.11 3.557419.35111.6Mpa100%空制應力時:

22、P 760.368KN5束鋼絞線:15%空制應力時:30%空制應力時:y 3.557419.3510.7318600.15P760.368 3.557419.351140 5950460N39.1Mpa950.46KN0.15 950.46142.57KN3.5574142.57 3.5574y19.35119.3517.2Mpay 0.3P0.3 950.46285.14KNy 3.55719.351285J4 3557414.6Mpa19.35119.351彳5574 114.°6 彳5574 5.7Mpa19.351100%空制應力時:P 950.46KNy 3.557419.35195046 3557448.9Mpa19.3518#油泵，千斤頂編號090309,壓力表編號3239;千斤頂證書號：09-JZ177y = 19.079X - 0.3843R2 = 0.9999由上圖可知：y19.079x 0.3843，則壓力表讀數(shù)計算如下:4束鋼絞線:0.73 1860 140 4 760368N760.368KN15%空制應力時:y 0.15P0.15 760.368114.06KNy