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1、.一、钢绞线伸长量计算一、钢绞线伸长量计算1.1.计算依据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 2计算公式：计算公式：L PpLApEp(12.8.3-1)P(1e(kx)Pp(附录 G-8)kxP conAp其中：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N1N2N3N4N517.16517.20517.24017.27017.305N1N2N3N4N5非连续端1732517315173001730017275从张拉端至计算截面曲
2、线孔道部分切线的夹角之和（rad）,取 8.5即0.148353rad;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；预应力筋与孔道壁的摩擦系数，本工程采用s15.2mm 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0.73fpk；Pp预应力筋平均张拉力（N）；，取张拉端到跨中钢绞线长度；L预应力筋的长度（mm）可编辑范本.中跨N1N2N3N4N51716517205172401727017305N1N2N3N4N5边跨17325173151730017
3、30017275Ep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1.91105MPa；(钢绞线弹性模量检测报告附后)。L理论伸长值（mm）3 3伸长值计算伸长值计算连续端 N1P conAp 0.73fpkAp 0.7318601404 760368NP(1e(kx)760368(1e(0.001517.1650.170.148353)PP 741316.02Nkx0.001517.1650.170.148353L PpLApEp741316.0217165119.0mm514041.9110连续端 N2P conAp 0.73fpkAp 0.7318601404 7
4、60368NP(1e(kx)760368(1e(0.001517.2050.170.148353)PP 741293.97Nkx 0.001517.205 0.170.148353L PpLApEp741293.9717205119.2mm14041.91105连续端 N3P conAp 0.73fpkAp 0.7318601404 760368NP(1e(kx)760368(1e(0.001517.240.170.148353)PP 741274.68Nkx 0.001517.24 0.170.148353L PpLApEp741274.6817240119.5mm514041.9110可编
5、辑范本.连续端 N4P conAp 0.73fpkAp 0.7318601404 760368NP(1e(kx)760368(1e(0.001517.270.170.148353)PP 741258.14Nkx 0.001517.27 0.170.148353L PpLApEp741258.1417270119.7mm514041.9110连续端 N5P conAp 0.73fpkAp 0.7318601404 760368NP(1e(kx)760368(1e(0.001517.3050.170.148353)PP 741238.85Nkx 0.001517.305 0.170.148353L
6、 PpLApEp741238.8517305119.9mm14041.91105非连续端 N1P conAp 0.73fpkAp 0.7318601404 760368NP(1e(kx)760368(1e(0.001517.3250.170.148353)PP 741227.83Nkx 0.001517.325 0.170.148353L PpLApEp741227.8317325120.1mm514041.9110非连续端 N2P conAp 0.73fpkAp 0.7318601404 760368NP(1e(kx)760368(1e(0.001517.3150.170.148353)PP
7、 741233.34Nkx 0.001517.315 0.170.148353L PpLApEp741233.3417315120.0mm514041.9110非连续端 N3P conAp 0.73fpkAp 0.7318601404 760368NP(1e(kx)760368(1e(0.001517.30.170.148353)PP 741241.61Nkx 0.001517.3 0.170.148353可编辑范本.L PpLApEp741241.6117300119.9mm514041.9110非连续端 N4P conAp 0.73fpkAp 0.7318601405 950460NP(1
8、e(kx)950460(1e(0.001517.30.170.148353)PP 926552.01Nkx 0.001517.3 0.170.148353L PpLApEp926552.0117300119.9mm14051.91105非连续端 N5P conAp 0.73fpkAp 0.7318601405 950460NP(1e(kx)950460(1e(0.001517.2750.170.148353)PP 926569.24Nkx 0.001517.275 0.170.148353L PpLApEp926569.2417275119.7mm514051.9110由以上计算结果得出:中跨
9、箱梁理论伸长值如下:N1119.02 238.0mmN2 119.22 238.4mmN3 119.52 239.0mmN4 119.72 239.4mmN5 119.92 239.8mm边跨箱梁理论伸长值如下N1119.0120.1 239.1mmN2 119.2120.0 239.2mmN3 119.5119.9 239.4mmN4 119.7119.9 239.6mmN5 119.9119.7 239.6mm可编辑范本.二、压力表读数计算二、压力表读数计算1.1.计算依据计算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）2.2.计
10、算公式计算公式千斤顶力与压力表读数对应关系如下式：y axb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：P conAp各项代表意义同伸长值计算。3.3.油表读数计算油表读数计算1#油泵，千斤顶编号 090201，压力表编号 1269；千斤顶证书号:09-JZ163100090080070060050040030020010000.0y=19.19x+6.46892R =0.9998检定点（KN）5.010.015.020.025.030.035.040.045.050.055.0压力表读数（Mpa）由上图可知：y 19.19x6.4689，则压力表读数计
11、算如下：4 4 束钢绞线束钢绞线：P 0.7318601404 760368N 760.368KN15%控制应力时：y 0.15P 0.15760.368 114.06KN可编辑范本.x 30%控制应力时：y6.4689114.066.4689 5.6Mpa19.1919.19y 0.3P 0.3760.368 228.11KNx 100%控制应力时：y 6.4689228.116.468911.5Mpa19.1919.19y P 760.368KNx 5 5 束钢绞线束钢绞线：y 6.4689760.3686.4689 39.3Mpa19.1919.19P 0.7318601405 9504
12、60N 950.46KN15%控制应力时：y 0.15P 0.15950.46 142.57KNx 30%控制应力时：y 6.4689142.57 6.4689 7.1Mpa19.1919.19y 0.3P 0.3950.46 285.14KNx 100%控制应力时：y 6.4689285.146.468914.5Mpa19.1919.19y P 950.46KNx y 6.4689950.466.4689 49.2Mpa19.1919.19可编辑范本.2#油泵，千斤顶编号 090202，压力表编号 9023；千斤顶证书号:09-JZ166100090080070060050040030020
13、010000.0y=19.065x+2.23762R =0.9999检定点（KN）5.010.015.020.025.030.035.040.045.050.055.0压力表读数（Mpa）由上图可知：y 19.065x 2.2376，则压力表读数计算如下：4 4 束钢绞线束钢绞线：P 0.7318601404 760368N 760.368KN15%控制应力时：y 0.15P 0.15760.368 114.06KNx 30%控制应力时：y 2.2376114.06 2.2376 5.9Mpa19.06519.065y 0.3P 0.3760.368 228.11KNx 100%控制应力时：y
14、 2.2376228.11 2.237611.8Mpa19.06519.065y P 760.368KNx 5 5 束钢绞线束钢绞线：y 2.2376760.3682.2376 39.8Mpa19.06519.065P 0.7318601405 950460N 950.46KN15%控制应力时：y 0.15P 0.15950.46 142.57KNx y 2.2376142.57 2.2376 7.4Mpa19.06519.065可编辑范本.30%控制应力时：y 0.3P 0.3950.46 285.14KNx 100%控制应力时：y 2.2376285.14 2.237614.8Mpa19.
15、06519.065y P 950.46KNx y 2.2376950.46 2.2376 49.7Mpa19.06519.0653#油泵，千斤顶编号 090302，压力表编号 1259；千斤顶证书号:09-JZ168100090080070060050040030020010000.0y=19.193x+1.3431R2=0.9998检定点（KN）5.010.015.020.025.030.035.040.045.050.055.0压力表读数（Mpa）由上图可知：y 19.193x 1.3431，则压力表读数计算如下：4 4 束钢绞线束钢绞线：P 0.7318601404 760368N 76
16、0.368KN15%控制应力时：y 0.15P 0.15760.368 114.06KNx 30%控制应力时：y 1.3431114.061.3431 5.9Mpa19.19319.193y 0.3P 0.3760.368 228.11KNx 100%控制应力时：y 1.3431228.111.343111.8Mpa19.19319.193y P 760.368KN可编辑范本.x 5 5 束钢绞线束钢绞线：y 1.3431760.3681.3431 39.5Mpa19.19319.193P 0.7318601405 950460N 950.46KN15%控制应力时：y 0.15P 0.1595
17、0.46 142.57KNx 30%控制应力时：y 1.3431142.57 1.3431 7.4Mpa19.19319.193y 0.3P 0.3950.46 285.14KNx 100%控制应力时：y 1.3431285.141.343114.8Mpa19.19319.193y P 950.46KNx y 1.3431950.461.3431 49.5Mpa19.19319.1934#油泵，千斤顶编号 090303，压力表编号 8823；千斤顶证书号:09-JZ170100090080070060050040030020010000.0y=19.047x+2.19252R =0.9999检
18、定点（KN）5.010.015.020.025.030.035.040.045.050.055.0压力表读数（Mpa）由上图可知：y 19.047x 2.1925，则压力表读数计算如下：4 4 束钢绞线束钢绞线：P 0.7318601404 760368N 760.368KN15%控制应力时：y 0.15P 0.15760.368 114.06KN可编辑范本.x 30%控制应力时：y 2.1925114.06 2.1925 5.9Mpa19.04719.047y 0.3P 0.3760.368 228.11KNx 100%控制应力时：y 2.1925228.11 2.192511.9Mpa19
19、.04719.047y P 760.368KNx 5 5 束钢绞线束钢绞线：y 2.1925760.368 2.1925 39.8Mpa19.04719.047P 0.7318601405 950460N 950.46KN15%控制应力时：y 0.15P 0.15950.46 142.57KNx 30%控制应力时：y 2.1925142.57 2.1925 7.4Mpa19.04719.047y 0.3P 0.3950.46 285.14KNx 100%控制应力时：y 2.1925285.14 2.192514.9Mpa19.04719.047y P 950.46KNx y 2.1925950
20、.46 2.1925 49.8Mpa19.04719.047可编辑范本.5#油泵，千斤顶编号 090304，压力表编号 1199；千斤顶证书号:09-JZ171100090080070060050040030020010000.0y=19.071x-0.69312R =0.9998检定点（KN）5.010.015.020.025.030.035.040.045.050.055.0压力表读数（Mpa）由上图可知：y 19.071x 0.6931，则压力表读数计算如下：4 4 束钢绞线束钢绞线：P 0.7318601404 760368N 760.368KN15%控制应力时：y 0.15P 0.1
21、5760.368 114.06KNx 30%控制应力时：y 0.6931114.06 0.6931 6.0Mpa19.07119.071y 0.3P 0.3760.368 228.11KNx 100%控制应力时：y 0.6931228.110.693112.0Mpa19.07119.071y P 760.368KNx 5 5 束钢绞线束钢绞线：y 0.6931760.3680.6931 39.9Mpa19.07119.071P 0.7318601405 950460N 950.46KN15%控制应力时：y 0.15P 0.15950.46 142.57KNx y 0.6931142.57 0.
22、6931 7.5Mpa19.07119.071可编辑范本.30%控制应力时：y 0.3P 0.3950.46 285.14KNx 100%控制应力时：y 0.6931285.140.693115.0Mpa19.07119.071y P 950.46KNx y 0.6931950.460.6931 49.9Mpa19.07119.0716#油泵，千斤顶编号 090305，压力表编号 9523；千斤顶证书号:09-JZ173100090080070060050040030020010000.0y=19.311x+1.4319R2=0.9998检定点（KN）5.010.015.020.025.030
23、.035.040.045.050.055.0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 4 束钢绞线束钢绞线：P 0.7318601404 760368N 760.368KN15%控制应力时：y 0.15P 0.15760.368 114.06KNx 30%控制应力时：y 1.4319114.061.4319 5.8Mpa19.31119.311y 0.3P 0.3760.368 228.11KNx 100%控制应力时：y 1.4319228.111.431911.7Mpa19.31119.311y P 760.368KN可编辑范本.x 5 5
24、束钢绞线束钢绞线：y 1.4319760.3681.4319 39.3Mpa19.31119.311P 0.7318601405 950460N 950.46KN15%控制应力时：y 0.15P 0.15950.46 142.57KNx 30%控制应力时：y 1.4319142.57 1.4319 7.3Mpa19.31119.311y 0.3P 0.3950.46 285.14KNx 100%控制应力时：y 1.4319285.141.431914.7Mpa19.31119.311y P 950.46KNx y 1.4319950.461.4319 49.1Mpa19.31119.3117#
25、油泵，千斤顶编号 090306，压力表编号 1089；千斤顶证书号:09-JZ175100090080070060050040030020010000.0y=19.351x+3.55742R =0.9999检定点（KN）5.010.015.020.025.030.035.040.045.050.055.0压力表读数（Mpa）由上图可知：y 19.351x 3.5574，则压力表读数计算如下：4 4 束钢绞线束钢绞线：P 0.7318601404 760368N 760.368KN15%控制应力时：y 0.15P 0.15760.368 114.06KN可编辑范本.x 30%控制应力时：y 3.
26、5574114.063.5574 5.7Mpa19.35119.351y 0.3P 0.3760.368 228.11KNx 100%控制应力时：y 3.5574228.113.557411.6Mpa19.35119.351y P 760.368KNx 5 5 束钢绞线束钢绞线：y 3.5574760.3683.5574 39.1Mpa19.35119.351P 0.7318601405 950460N 950.46KN15%控制应力时：y 0.15P 0.15950.46 142.57KNx 30%控制应力时：y 3.5574142.57 3.5574 7.2Mpa19.35119.351y
27、 0.3P 0.3950.46 285.14KNx 100%控制应力时：y 3.557285.143.557414.6Mpa19.35119.351y P 950.46KNx y 3.5574950.463.5574 48.9Mpa19.35119.351可编辑范本.8#油泵，千斤顶编号 090309，压力表编号 3239；千斤顶证书号:09-JZ177100090080070060050040030020010000.0y=19.079x-0.38432R =0.9999检定点（KN）5.010.015.020.025.030.035.040.045.050.055.0压力表读数（Mpa）由
28、上图可知：y 19.079x 0.3843，则压力表读数计算如下：4 4 束钢绞线束钢绞线：P 0.7318601404 760368N 760.368KN15%控制应力时：y 0.15P 0.15760.368 114.06KNx 30%控制应力时：y 0.3843114.060.3843 6.0Mpa19.07919.079y 0.3P 0.3760.368 228.11KNx 100%控制应力时：y 0.3843228.110.384312.0Mpa19.07919.079y P 760.368KNx 5 5 束钢绞线束钢绞线：y 0.3843760.3680.3843 39.9Mpa1
29、9.07919.079P 0.7318601405 950460N 950.46KN15%控制应力时：y 0.15P 0.15950.46 142.57KNx y 0.3843142.57 0.3843 7.5Mpa19.07919.079可编辑范本.30%控制应力时：y 0.3P 0.3950.46 285.14KNx 100%控制应力时：y 0.3843285.140.384315.0Mpa19.07919.079y P 950.46KNx y 0.3843950.46 0.3843 49.8Mpa19.07919.079根据以上计算，将千斤顶张拉力与压力表读数对应关系汇总如下：千斤顶张拉
30、力与压力表读数对应关系表千斤顶张拉力与压力表读数对应关系表钢绞线张拉力(KN)15%4 束30%114.06228.111#千斤顶2#千斤顶3#千斤顶4#千斤顶5#千斤顶6#千斤顶7#千斤顶8#千斤顶压力表1269压力表9023压力表1259压力表8823压力表1199压力表9523压力表1089压力表32395.611.539.37.114.549.25.911.839.87.414.849.75.911.839.57.414.849.55.911.939.87.414.949.86.012.039.97.515.049.95.811.739.37.314.749.15.711.639.17.214.648.96.012.039.97.515.049.8100%760.3715%5 束30%142.57285.14100%950.46可编辑范本