预应力张拉伸长量计算书

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（12.8.3-1）; 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：PpLApEp(12.8.3-1)PpP(1e(kx)kx(附录G-8)conAp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N1N117.325N2N217.315N3N317.300N4N417.300N5N517.275从张拉端至计算截面曲线孔道部分切线的夹角之和（rad）,取o即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;s预应力

2、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；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0.73fpk；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，本工程采用s15.2mm高强低松弛钢绞线，根据试验取51.9110MPa（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

3、N1conAp0.73fpkApkAp0.7318601404760368NPpP(1e(kxkx)(0.001517.1650.170.148353)760368(1e()0.001517.1650.170.148353741316.02NPpLApEp741316。217165119.0mm14041.91105连续端N2conAp°.73fpkApkAp0.7318601404760368NPpP(1e(kxkx)(0.001517.2050.170.148353)、丿)760368(1e)0.1483530.001517.2050.17741293.97NPpLApEpPpc

4、onAp0.73fpkAp0.7318601404760368NP(1e(kx)760368(1e(0.001517.24kx0.170.148353)741274.68N7412939717205119.2mm14041.91105连续端N3PpLApEp7412746817240119.5mm14041.91105连续端N4conAp0.73fpkApkAp0.7318601404760368NPp(kx)(0.001517.270.170.148353)P(1e(丿)760368(1e(3kx)0.001517.270.170.148353741258.14NPpLApEp741258&

5、quot;仃镇119.7mm14041.91105连续端N5conAp0.73fpkApkAp0.7318601404760368NPpP(1e(kx)760368(1ekx(0.001517.3050.170.148353)0.001517.3050.170.148353741238.85NPpLApEp7412388517305119.9mm14041.91105非连续端N1Aconp0.73fpkAp0.7318601404760368NPpP(1ekx(kx)(0.001517.3250.170.148353)760368(1e()0.001517.3250.170.148353741

6、227.83NPpLApEp74122783I：?5120.1mm14041.91105非连续端N2Aconp0.73fpkAp0.7318601404760368NPpP(1ekx(kx)(0.001517.3150.170.148353)、(丿)760368(1e(丿)0.1483530.001517.3150.17741233.34NApEp7412333417315120.0mm14041.91105非连续端N3conAp0.73fpkAp0.7318601404760368NPp0.170.148353)0.001517.30.170.148353P(1e(kx)760368(1e(

7、0.001517.3kx741241.61NPpLApEp741241.611730014041.91105119.9mmN4119.7119.9239.6mmN5119.9119.7239.6mm非连续端N4PconAp0.73fpkAp0.7318601405950460NPp926552.01NP(1e(kx)950460(1e0015173148353)kx0.001517.30.170.148353PpLApEp926552011730014051.91105119.9mm非连续端N5PconAp0.73fpkAp0.7318601405950460NPp(kx)(0.001517.

8、2750.170.148353)、P(1e丿)950460(1e(丿)kx0.001517.2750.170.148353926569.24NPpL926569.241727514051.91105119.7mm由以上计算结果得出：中跨箱梁理论伸长值如下N1119.02238.0mmN2119.22238.4mmN3119.52239.0mmN4119.72239.4mmN5119.92239.8mm边跨箱梁理论伸长值如下N1119.0120.1239.1mmN2119.2120.0239.2mmN3119.5119.9239.4mm、压力表读数计算1. 计算依据 海滨大道北段二期（疏港三线立

9、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：yaxb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：Aconp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;由上图可知：y19.19x6.4689，则压力表读数计算如下:4束钢绞线:0.7318601404760368N760.368KN15%空制应力时:y0.15P0.15760.368114.06KN89114-066.46895.6Mpa19.1919.19y0.3P0.3760.

10、368228.11KNx30%空制应力时:連228.116.4689n.5Mpa19.1919.19100%空制应力时:yP760.368KNy6.4689760.3686.4689门x39.3Mpa19.1919.195束钢绞线：P0.7318601405950460N950.46KN15%空制应力时：y0.15P0.15950.46142.57KNy6.4689142.576.4689x7.1Mpa19.1919.1930%空制应力时：y0.3P0.3950.46285.14KNy6.4689285.146.4689一厂一x14.5Mpa19.1919.19100%空制应力时:yP950.

11、46KNy6.4689950.466.4689x49.2Mpa19.1919.192#油泵，千斤顶编号090202,压力表编号9023;由上图可知：y19.065X2.2376，则压力表读数计算如下:15%空制应力时:y0.15P0.15760.368114.06KNy2.2376114°62.23765.9Mpa19.06519.06530%空制应力时:y0.3Py2.2376x19.065100%空制应力时：yy2.2376x19.0655束钢绞线：P0.73186015%空制应力时：y0.15Py2.2376x19.06530%空制应力时：0.3760.368228.11KN2

12、28.112.237611.8Mpa19.065P760.368KN760.3682.237639.8Mpa19.0651405950460N950.46KN0.15950.46142.57KN142.572.23767.4Mpa19.065y0.3P0.3950.46285.14KNx100%空制应力时：y2.237619.065285.142.237619.06514.8MpayP950.46KN95°.462237649.7Mpa19.06519.065 3#油泵，千斤顶编号090302,压力表编号1259;由上图可知：y19.193x1.3431，则压力表读数计算如下:4束钢

13、绞线:P0.7318601404760368N760.368KN15%空制应力时:30%空制应力时:y0.15P0.15760.368114.06KN19.193y1.3431114°61.34315.9Mpa19.193y1.343119.193228.111.343119.19311.8Mpa100%空制应力时:P760.368KN5束钢绞线:15%空制应力时:30%空制应力时:y1.343119.1930.7318600.15P760.3681.343119.1931405950460N39.5Mpa950.46KN0.15950.46142.57KN1.3431142.571

14、.3431y19.19319.1937.4Mpay0.3P0.3950.46285.14KNy1.343119.193285"41.343114.8Mpa19.193y0.3P0.3760.368228.11KN100%空制应力时:P950.46KN950.461.343149.5Mpa19.193口y1.343119.1934#油泵，千斤顶编号090303,压力表编号8823；由上图可知：y19.047x2.1925，则压力表读数计算如下:15%空制应力时:y0.15P0.15760.368114.06KN19.047-2.1925114.062.19255.9Mpa30%空制应力

15、时:y0.3P0.3760.368228.11KNy21925228.112192511.9Mpa19.04719.047100%空制应力时:P760.368KNy2.192519.04776°.3682192539.8Mpa19.0475束钢绞线:P0.7318601405950460N950.46KN15%空制应力时:y0.15P0.15950.46142.57KN19.047x19.0475142.5721925了叫19.04730%空制应力时:y2.192519.047y0.3P0.3950.46285.14KN285142192514.9Mpa19.047100%空制应力时

16、:P950.46KNy2.192519.047950462"92549.8Mpa19.0475#油泵，千斤顶编号090304,压力表编号1199;由上图可知：y19.071x0.6931，则压力表读数计算如下:4束钢绞线：0.73I8601404760368N760.368KN15%空制应力时:y0.15P0.15760.368114.06KN19.071431114.°6°69316.0Mpa19.07130%空制应力时:y0.3P0.3760.368228.11KNy0.693119.071228.110.693119.07112.0Mpax19.071100

17、%空制应力时:100%空制应力时:P760.368KNy0.693119.071760.3680.693119.07139.9Mpa5束钢绞线:0.7318601405950460N950.46KN15%空制应力时:0.15P0.15950.46142.57KN0.6931142.570.6931y19.07119.0717.5Mpa30%空制应力时:y0.3P0.3950.46285.14KNy0.693128514°693115.0Mpa19.0716#油泵，千斤顶编号yP950.46KNy0.6931950.460.693119.07119.07149.9Mpa090305,压

18、力表编号9523;由上图可知：y19.311X1.4319，则压力表读数计算如下：4束钢绞线：P0.7318601404760368N760.368KN15%空制应力时：y0.15P0.15760.368114.06KNy1.4319114.061.4319x5.8Mpa19.31119.31130%空制应力时：y0.3P0.3760.368228.11KNy1.4319228.111.4319x11.7Mpa19.31119.311100%空制应力时:yP760.368KNy1.4319760.3681.4319x39.3Mpa19.31119.3115束钢绞线：P0.73186014059

19、50460N950.46KN15%空制应力时：y0.15P0.15950.46142.57KNy1.4319142.571.4319x7.3Mpa19.31119.31130%空制应力时：y0.3P0.3950.46285.14KNy1.4319285.141.4319x14.7Mpa19.31119.311yP950.46KNy1.4319950.461.4319门x49.1Mpa19.31119.3117#油泵，千斤顶编号090306,压力表编号1089；由上图可知：y19.351X3.5574，则压力表读数计算如下:4束钢绞线:0.7318601404760368N760.368KN15

20、%空制应力时:y0.15P0.15760.368114.06KN19.351y3557411406彳55745.7Mpa19.35130%空制应力时:y0.3P0.3760.368228.11KNy3.557419.351228.113.557419.35111.6Mpay3.557x100%空制应力时:100%空制应力时:P760.368KNy3.557419.351760.3683.557419.35139.1Mpa5束钢绞线:0.7318601405950460N950.46KN15%空制应力时:0.15P0.15950.46142.57KN3.5574142573.5574y19.35119.3517.2Mpa30%空制应力时:y0.3P0.3950.46285.14KN19.351285J43557414.6Mpa19.351yP950.46KN彳557495。46册448.9Mpa19.35119.3518#油泵，千斤顶编号090309,压力表编号3