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（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（疏港三线立交蛭头沽）设计图纸。2 .计算公式：l星 apep（12.8.3-1）pp*1 （附录g-8）p acon p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 8.5o即 0.148353rad;其中：x 从张拉端至计算截面的孔道长度（m

2、d ,取张拉端到跨中孔道长度;0.0015 ;k一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一预应力筋与孔道壁的摩擦系数，本工程米用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 一预应力筋张拉端的张拉力（nd;ap预应力筋的截面面积（mr2）；con一张拉控制应力（mpa,根据图纸取0.73 fpk；pp 一预应力筋平均张拉力（nd ;l一预应力筋的长度（mm,取张拉端到跨中钢绞线长度;中跨边跨n117165n117325n217205n217315n317240n317300n417270n417300n517305n517275ep钢绞线弹性模量

3、，本工程采用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（mrmo3 .伸长值计算连续端n1conad 0.73fdkad 0.73 1860 140 4 760368 n con ppk pppp(1 e (kxkx)(0.0015 17.165 0.17 0.148353)、)760368 (1 e ()0.0015 17.165 0.17 0.148353741316.02nppl741316.02 17165apep140 4 1.91 105119.0mm连续端n2conap 0.73fpkap 0.73 1860

4、 140 4 760368 npp(kx)(0.0015 17.205 0.17 0.148353)、p(1 e ()760368 (1 e ()kx0.0015 17.205 0.170.148353741293.97nppl741293.97 17205apep一5140 4 1.91 105119.2mm760368n连续端n3conap 0.73fpkap0.73 1860 140 4ppp(1 e (kx )760368 (1 e (0.001517.240.17 0.148353)kxpplapep0.0015 17.24 0.17 0.148353741274.68 17240一

5、5140 4 1.91 105119.5mm741274.68n连续端n4conad 0.73fdkad 0.73 1860 140 4 760368 n con ppk ppp(kx)(0.0015 17.27 0.17 0.148353)、p(1 e ()760368 (1 e ()kx0.0015 17.27 0.17 0.148353741258.14nppl741258.14 17270apep一5140 4 1.91 105119.7mm连续端n5c0nap 0.73fpkap 0.73 1860 140 4 760368 n con pp pppp(1 e (kx )760368

6、 (1 e (0.0015 17305 0.17 148353)kx0.0015 17.305 0.17 0.148353741238.85nppl741238.85 17305apep一5140 4 1.91 105119.9mm非连续端n1a con p0.73 foa 0.73 1860 140 4 760368 n pk pppp(1 ekx(kx )(0.0015 17.325 0.17 0.148353)、()760368 (1 e ()0.0015 17.325 0.17 0.148353741227.83nppl741227.83 17325apep一5140 4 1.91 1

7、05120.1mm非连续端n2a con p0.73 foa 0.73 1860 140 4 760368 n pk pppp(1 ekx(kx)(0.0015 17.315 0.17 0.148353)、()760368 (1 e ()0.0015 17.315 0.170.148353741233.34n741233.34 17315apep一5140 4 1.91 105120.0mm非连续端n3conap0.73fpkap 0.73 1860 140 4760368nppp(1 e (kx )760368 (1 e (0.001517.30.17 0.148353)741241.61n

8、kx0.0015 17.3 0.17 0.148353741241.61 17300140 4 1.91 105119.9mm非连续端n4a con p0.73fpkap 0.73 1860 140 5 950460 nppp(1 e (kx )950460 (1 e 0015173 07 口14835力kx0.0015 17.3 0.17 0.148353926552.01nppl92655201 17300apep一5140 5 1.91 105119.9mm非连续端n5a con p0.73fdkad 0.73 1860 140 5 950460 n pk pppp(1 ekx(kx )

9、950460(1 e (0.0015 17.275 )0.0015 17.275 0.17 0.148353926569.24nppl926569.24 17275apep一5140 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：n1119.0238.0mmn2119.2238.4mmn3119.5239.0mmn4119.7239.4mmn5119.9239.8mm边跨箱梁理论伸长值如下n1119.0120.1239.1mmn2119.2120.0239.2mmn3119.5119.9239.4mmn4119.7119.9239.6mmn5 119.9 119

10、.7 239.6mm二、压力表读数计算1 .计算依据海滨大道北段二期（疏港三线立交蛭头沽）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一千斤顶力（kn）;x一压力表读数（mpa；a , b一常系数。力与应力关系如下式：p acon p各项代表意义同伸长值计算。3 .油表读数计算1#?由泵，千斤顶编号090201,压力表编号1269;1000千斤顶证书号：09-jz163y = 19.19x + 6.4689r2 = 0.9998900_800a 700n 700ink enn600 点500定 400_je 4

11、00榆300200100ihiini0 0.c5.010.015.020.025.030.035.040.045.050.055.0压力表读数（mpay 0.15p 0.15 760.368 114.06kn15%空制应力时:y 6.4689 114.06 6.468919.1919.195.6mpa30%空制应力时：100%空制应力时:5束钢绞线：15%空制应力时：30%空制应力时：100%空制应力时:y 0.3p 0.3 760.368 228.11kny 6.468919.19228.11 6.468919.1911.5mpay 6.468919.190.731860p 760.368k

12、n760.368 6.468919.1939.3mpa140 5 950460n950.46kn0.15p0.15 950.46 142.57kn6.4689 142.57 6.468919.1919.197.1mpay 0.3py 6.468919.19y 6.468919.190.3 950.46 285.14kn285.14 6.468919.1914.5mpap 950.46kn950.46 6.468919.1949.2mpa2折由泵，千斤顶编号090202,压力表编号9023;由上图可知：y19.065x 2.2376 ,则压力表读数计算如下:y = 19.065x + 2.237

13、6r2 = 0.9999千斤顶证书号：09-jz1664束钢绞线：0.73 1860 140 4 760368n 760.368kn15%空制应力时:y 0.15p 0.15 760.368 114.06kny 2.2376 114.06 2.237619.06519.0655.9mpa30%空制应力时:y 0.3p 0.3 760.368 228.11kny 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：0.731860140

14、5 950460n950.46kn15%空制应力时:0.15p0.15 950.46 142.57kn2.2376 142.57 2.237619.06519.0657.4mpa30%空制应力时:y 0.3p 0.3 950.46 285.14knx100%空制应力时：y 2.237619.065285.14 2.237619.06514.8mpay p 950.46kny 2.237619.065950.46 2.2376 49.7mpa19.0653折由泵，千斤顶编号090302,压力表编号1259;压力表t数（mpay = 19.193x + 1.3431r2 = 0.9998千斤顶证书

15、号：09-jz168yp 760.368kn由上图可知：y 19.193x 1.3431,则压力表读数计算如下:4束钢绞线：p 0.73 1860 140 4 760368n 760.368kn15%空制应力时：y 0.15p 0.15 760.368 114.06kny 1.3431 114.06 1.3431x5.9mpa19.19319.19330%空制应力时：y 0.3p 0.3 760.368 228.11kny 1.343119.193228.11 1.343119.19311.8mpa100%空制应力时:y 1.3431 760.368 1.3431 “ 一x 39.5mpa19

16、.19319.1935束钢绞线：p 0.73 1860 140 5 950460n 950.46kn15%空制应力时：y 0.15p 0.15 950.46 142.57knx30%空制应力时：y 1.343119.193142.57 1.343119.1937.4mpay 0.15p 0.15 760.368 114.06kny 0.3p 0.3 950.46 285.14kny 1.343119.193285.14 1.343119.19314.8mpa100%空制应力时:y p 950.46kn4#?由泵，千斤顶编号y 1.343119.193950.46 1.343119.19349.

17、5mpa090303,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 19.047x 2.1925 ,则压力表读数计算如下：4束钢绞线：p 0.73 1860 140 4 760368n 760.368kn15%空制应力时:y 2.1925 114.06 2.192519.04719.0475.9mpa30%空制应力时:y 0.3p 0.3 760.368 228.11kny 2.192519.047228.11 2.192519.04711.9mpa100%空制应力时:p 760.368kny 2.192519.

18、047760.368 2.192519.04739.8mpa5束钢绞线：0.731860140 5 950460n950.46kn15%空制应力时:0.15p0.15 950.46 142.57kn2.1925 142.57 2.192519.04719.0477.4mpa30%空制应力时:y 0.3p0.3 950.46 285.14kny 2.192519.047285.14 2.1925 14.9mpa19.047y 2.192519.047100%空制应力时:p 950.46kn950.46 2.1925 49.8mpa19.0475折由泵，千斤顶编号090304,压力表编号1199;

19、千斤顶证书号：09-jz171y = 19.071x - 0.6931r2 = 0.99981000900800700600500 .400 .300 .200 .100 .0 40.0由上图可知：y5.010.015.020.025.030.035.040.045.050.055.0压力表读数（mpa19.071x 0.6931 ,则压力表读数计算如下:4束钢绞线：0.73 1860 140 4 760368n 760.368kn15%空制应力时:y 0.15p 0.15 760.368 114.06kny 0.6931 114.06 0.693119.07119.0716.0mpa30%空

20、制应力时:y 0.3p 0.3 760.368 228.11kny 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：0.731860140 5 950460n950.46kn15%空制应力时:0.15p0.15 950.46 142.57kn0.6931 142.57 0.693119.07119.0717.5mpa30%空制应力时:y 0.3p 0.3 950.46 285.14kn285.14 0.693119.07115.0m

21、pay 0.6931 x 19.071100%空制应力时：y p 950.46knyp 760.368kny 0.693119.071950.46 0.693119.07149.9mpa6折由泵，千斤顶编号090305,压力表编号9523;压力表t数（mpay = 19.311x + 1.4319r2 = 0.9998千斤顶证书号：09-jz173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 760368n 760.368kn15%空制应力时：y 0.15p 0.15 760.368 114.06kny 1.4319 114

22、.06 1.4319x5.8mpa19.31119.31130%空制应力时：y 0.3p 0.3 760.368 228.11kny 1.4319 228.11 1.4319x 11.7mpa19.31119.311100%空制应力时:y 1.4319 760.368 1.4319x 39.3mpa19.31119.3115束钢绞线：p 0.73 1860 140 5 950460n 950.46kn15%空制应力时:y 0.15p 0.15 950.46 142.57knx30%空制应力时：y 1.431919.311142.57 1.431919.3117.3mpay 0.15p 0.15

23、 760.368 114.06kny 0.3p 0.3 950.46 285.14kny 1.4319 285.14 1.4319x 14.7mpa19.31119.311100%空制应力时：y p 950.46kny 1.431919.311950.46 1.431919.31149.1mpa7折由泵，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：p 0.73 1860 140 4 760368n 760.368kn15%空

24、制应力时:y 3.5574 114.06 3.557419.35119.3515.7mpa30%空制应力时:y 0.3p 0.3 760.368 228.11kny 3.557419.351228.11 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 5 950460n950.46kn15%空制应力时:0.15p0.15 950.46 142.57kn3.557414257 3.557419.35119.3517.2mpa30%空制应力时:y 0

25、.3p0.3 950.46 285.14kny 3.55719.351285.14 3.557414.6mpa19.351100%空制应力时:p 950.46kny 3.557419.351950.46 3.5574 48.9mpa19.3518折由泵，千斤顶编号090309,压力表编号3239;4束钢绞线：15%空制应力时:y 0.15p 0.15 760.368 114.06kny 0.3p 0.3 760.368 228.11kn15%空制应力时:0.3843 142.57 0.38437.5mpa19.07919.079x -由上图可知：y19.079x 0.3843,则压力表读数计算如下:p0.73 1860 140 4 760368n 760.368kn30%空制应力时:x100%空制应力时:xyp 760.368k