预应力张拉伸长量计算书(后张法)

1、、钢绞线伸长量计算1. 计算依据 公路桥涵施工技术规范中公式（; 公路桥涵施工技术规范中附录 G-8预应力筋平均张拉力的计算； 海滨大道北段二期（疏港三线立交蛏头沽）设计图纸 。2 计算公式：PpLAp Ep(12.8.3-1)PpP(1 e(kx)kx(附录G-8)其中：x 从张拉端至计算截面的孔道长度（m）,取张拉端到跨中孔道长度;连续端非连续端N117.165N117. 325N217.205N217. 315N317.240N317. 300N417.270N417. 300N517.305N517. 275从张拉端至计算截面曲线孔道部分切线的夹角之和（ rad ）,取8.5 o即0.

2、148353rad;k 孔道每米局部偏差对摩擦的影响系数，本工程采用塑料波纹管，取0.0015 ;s预应力筋与孔道壁的摩擦系数，本工程采用15.2mm高强低松弛钢绞线及塑料波纹管孔道，根据图纸取 0.17 ;P 预应力筋张拉端的张拉力（N）;Ap 预应力筋的截面面积（mm）;con 张拉控制应力（MPa,根据图纸取0.73 fpk ；Pp 预应力筋平均张拉力（N）;L 预应力筋的长度（mr）,取张拉端到跨中钢绞线长度;中跨边跨N117165N117325N217205N217315N317240N317300N417270N417300N517305N517275Ep 钢绞线弹性模量，本工程采

3、用s 15.2mm高强低松弛钢绞线，根据试验取51.91 10 MPa （钢绞线弹性模量检测报告附后）L 理论伸长值（mr）3伸长值计算 连续端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连续端N2con Ap 0.73 f pkApkAp 0.73 1860 140 4 7

4、60368 NPpP(1 e (kxkx)(0.0015 17.205 0.17 0.148353)、丿)760368 (1 e)0.1483530.0015 17.2050.17741293.97 NPpLAp EpPpcon 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 (0.001517.24kx741274.68 N7412939717205 伍靳口140 4 1.91 105连续端N3PpLAp Ep74127468 17240 119

5、.5mm140 4 1.91 105连续端N4conAp0.73 fpkAPp(kx)(0.0015 17.27 0.17 0.148353)P(1 e ()760368 (1 e ()kx)0.0015 17.270.17 0.148353741258.14NpkAp 0.73 1860 140 4 760368 NPpL741258"仃镇 119.7mmAp Ep140 4 1.91 105连续端N5conAp 0.73 fpkAp 0.73 1860 140 4 760368 NPpP(1 e (kx )760368 (1 ekx(0.0015 17.305 0.17 0.14

6、8353)0.0015 17.3050.17 0.148353741238.85NPpLAp Ep非连续端N174123885 17305 119.9mm140 4 1.91 105Acon pPpP(1 ekx(kx )(0.0015 17.325 0.17 0.148353)760368 (1 e ()0.0015 17.3250.17 0.148353741227.83 N0.73 fpkAp 0.73 1860 140 4760368 NPpLAp Ep非连续端N274122783 I：?5 120.1mm140 4 1.91 105Acon pPpP(1 ekx(kx)(0.0015

7、 17.315 0.17 0.148353)、(丿)760368 (1 e (丿)0.1483530.0015 17.3150.17741233.34 N0.73 fpkAp 0.73 1860 140 4760368 NAp Ep74123334 17315 120.0mm140 4 1.91 105非连续端N3760368N0.73fpkAp 0.73 1860 140 4Pp0.17 0.148353)0.0015 17.3 0.17 0.148353P(1 e (kx)760368 (1 e kx741241.61NPpLAp Ep741241.61 17300140 4 1.91 1

8、05119.9mm非连续端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非连续端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.

9、17 0.148353926569.24NPpL926569.24 17275140 5 1.91 105119.7mm由以上计算结果得出：中跨箱梁理论伸长值如下N1 119.0 2238.0mmN2 119.2 2238.4mmN3 119.5 2239.0mmN4 119.7 2239.4mmN5 119.9 2239.8mm边跨箱梁理论伸长值如下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二、压力表读数计算1. 计算

10、依据 海滨大道北段二期（疏港三线立交蛏头沽）设计图纸； 千斤顶标定报告09-JZ163178；（报告附后）2. 计算公式千斤顶力与压力表读数对应关系如下式：y ax b其中：y 千斤顶力（KN;x 压力表读数（MPa； a , b 常系数。力与应力关系如下式：conAp各项代表意义同伸长值计算。3. 油表读数计算1#油泵，千斤顶编号090201,压力表编号1269;千斤顶证书号:09-JZ163y = 19.19X + 6.46892R = 0.9998由上图可知：y 19.19X 6.4689，则压力表读数计算如下:4束钢绞线:P 0.73 1860 140 4 760368N760.368

11、KN15%空制应力时:y 0.15P0.15 760.368114.06KN19.1964689114°6 64689 5.6Mpa19.1930%空制应力时:y 0.3P0.3 760.368228.11KNy 6.468919.19228.11 6.468919.1911.5Mpa100%空制应力时:P 760.368KNy 6.468919.19760.368 6.468919.1939.3Mpa5束钢绞线:0.731860140 5950460N950.46KN15%空制应力时:0.15P0.15 950.46142.57KN6.4689142.57 6.4689y19.19

12、19.197.1Mpa30%空制应力时:y 0.3P0.3 950.46285.14KNy 6.468919.19285.14 6.468919.1914.5Mpa100%空制应力时:P 950.46KNy 6.468919.1995°.46 64689 49.2Mpa19.1919.065x2.2376，则压力表读数计算如下:2#油泵，千斤顶编号090202,压力表编号9023；由上图可知：y4束钢绞线:0.73 I860 140 4 760368N760.368KN15%空制应力时:y 0.15P0.15 760.368114.06KNy 22376114-06 22376 5.

13、9Mpa19.06519.06530%空制应力时:y 0.3P0.3 760.368228.11KNy 2.237619.065228.11 2.237619.06511.8Mpa100%空制应力时:P 760.368KNy 2.237619.065760.368 2.237619.06539.8Mpa5束钢绞线:x 19.0652.2376142.57 2.2376 7.4Mpa19.06530%空制应力时:y 0.3P0.3 950.46285.14KNy 2.237619.065285.14 2237614.8Mpa19.065100%空制应力时:950.46 2.237649.7Mpa

14、 19.065口19.193x 1.3431，则压力表读数计算如下:由上图可知：yP 950.46KNy 2.237619.065 3#油泵，千斤顶编号090302,压力表编号1259；4束钢绞线:0.73 1860 140 4 760368N760.368KN15%空制应力时:y 0.15P0.15 760.368114.06KN山迪 114.°6 讪31 5.9Mpa19.19319.19330%空制应力时:y 0.3P0.3 760.368228.11KNy 1.343119.19322834311119.193100%空制应力时:P 760.368KNy 1.3431760.

15、368 1.3431“ “x39.5Mpa19.19319.1935束钢绞线：P 0.73 1860 140 5950460N950.46KN15%空制应力时：y 0.15P0.15 950.46142.57KNy 1.3431142.57 1.3431x7.4Mpa19.19319.19330%空制应力时：y 0.3P0.3 950.46285.14KNy 1.3431285.14 1.3431x14.8Mpa19.19319.193100%空制应力时:y P 950.46KNy 1.3431950.46 1.3431x49.5Mpa19.19319.1934#油泵，千斤顶编号090303，

16、压力表编号8823;千斤顶证书号：09-JZ170y = 19.047X + 2.1925R2 = 0.9999由上图可知：y 19.047X2.1925，则压力表读数计算如下:4束钢绞线：19.04721925 11406 21925 5.9Mpa 19.04730%空制应力时:y 0.3P0.3 760.368228.11KNy 2.192519.047228.11 2.192519.04711.9Mpa100%空制应力时:P 760.368KNy 2.192519.047760.368 2.192519.04739.8Mpa5束钢绞线:0.731860140 5950460N950.46

17、KN15%空制应力时:0.15P0.15 950.46142.57KN2.1925142.572.19257pay19.04719.04730%空制应力时:y 0.3P0.3 950.46285.14KNy 2.192519.04728514 2192514.9Mpa19.047100%空制应力时:P 950.46KNy 2.192519.04795046 2"925 49.8Mpa19.047由上图可知：y5#油泵，千斤顶编号090304,压力表编号1199；19.071x 0.6931，则压力表读数计算如下:4束钢绞线:0.73 I860 140 4 760368N760.368

18、KN15%空制应力时:y 0.15P0.15 760.368114.06KNy °.693111406 °.6931 6.0Mpa19.07119.07130%空制应力时:y 0.3P0.3 760.368228.11KNy 0.693119.071228.11 0.693119.07112.0Mpa100%空制应力时:P 760.368KNy 0.693119.071760.368 0.693119.07139.9Mpa5束钢绞线:X "19.071O.6931142.57 O.6931 7.5Mpa19.07130%空制应力时:y 0.3P0.3 950.46

19、285.14KN285.14 0.693119.07115.0Mpay 0.6931 x19.071100%空制应力时：y P 950.46KN山輕 9500.6931 4919.07119.0716#油泵，千斤顶编号090305,压力表编号9523;千斤顶证书号：09-JZ173y = 19.311x + 1.4319R = 0.9998压力表读数（Mpa由上图可知：y 19.311X 1.4319，则压力表读数计算如下:4束钢绞线:P 0.73 1860 140 4 760368N760.368KN15%空制应力时:y 0.15P0.15 760.368114.06KNy 1.431919

20、.311114.06 1.431919.3115.8Mpa30%空制应力时:y 0.3P0.3 760.368228.11KNx228 14319 11.7Mpa19.31119.311100%空制应力时:P 760.368KNy 1.4319760.368 1.4319x39.3Mpa19.31119.3115束钢绞线：P 0.73 1860 140 5950460N950.46KN15%空制应力时：y 0.15P0.15 950.46142.57KNy 1.4319142.57 1.4319x7.3Mpa19.31119.31130%空制应力时：y 0.3P0.3 950.46285.14

21、KNy 1.4319285.14 1.4319x14.7Mpa19.31119.311100%空制应力时:y P 950.46KNy 1.4319950.46 1.4319“ x49.1Mpa19.31119.3117#油泵，千斤顶编号090306,压力表编号1089;千斤顶证书号：09-JZ175y = 19.351x + 3.5574R2 = 0.9999由上图可知：y 19.351X 3.5574，则压力表读数计算如下：4束钢绞线：19.351彳5574114.°6 彳5574 5.7Mpa19.35130%空制应力时:y 0.3P0.3 760.368228.11KNy 3.

22、557419.351228.11 3.557419.35111.6Mpa100%空制应力时:P 760.368KNy 3.557419.351760.368 3.557419.35139.1Mpa5束钢绞线:0.731860140 5950460N950.46KN15%空制应力时:0.15P0.15 950.46142.57KN3.5574142.57 3.5574y19.35119.3517.2Mpa30%空制应力时:y 0.3P0.3 950.46285.14KNy 3.55719.351285J4 3557414.6Mpa19.351100%空制应力时:P 950.46KNy 3.557419.35195046 3557448.9Mpa19.3518#油泵，千斤顶编号090309,压力表编号3239;千斤顶证书号：09-JZ177y = 19.079X - 0.3843R2 = 0.9999由上图可知：y19.079x 0.3843，则压力表读数计算如下:4束钢绞线:0.73 1860 140 4 760368N760.368KN15%空制应力时:y 0.15P0.15 760.368114.06KNy °.