海滨大道北段二期工程预制箱梁钢绞线理论伸长值及压力表读数计算书
一、钢绞线伸长量计算
1. 计算依据
①《公路桥涵施工技术规范》中公式(12.8.3-1);
②《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》; ③《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:
?L?PpLApEp (12.8.3-1)
P(1?e?(kx???)) (附录G-8) Pp?kx???P??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 N1 N2 N3 N4 N5 17.165 17.205 17.240 17.270 17.305 N1 N2 N3 N4 N5 非连续端 17.325 17.315 17.300 17.300 17.275 ?—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;
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(mm2)
,根据图纸取0.73fpk; ?con—张拉控制应力(MPa); Pp—预应力筋平均张拉力(N)
L—预应力筋的长度(mm),取张拉端到跨中钢绞线长度;
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海滨大道北段二期工程预制箱梁钢绞线理论伸长值及压力表读数计算书
中跨 N1 N2 N3 N4 N5 17165 17205 17240 17270 17305 N1 N2 N3 N4 N5 边跨 17325 17315 17300 17300 17275 Ep—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
1.91?105MPa;(钢绞线弹性模量检测报告附后) ?L—理论伸长值(mm)。
3.伸长值计算 ①连续端N1
P??conAp?0.73fpkAp?0.73?1860?140?4?760368N
P(1?e?(kx???))760368?(1?e?(0.0015?17.165?0.17?0.148353))PP???741316.02N
kx???0.0015?17.165?0.17?0.148353?L?PpLApEp?741316.02?17165?119.0mm 5140?4?1.91?10②连续端N2
P??conAp?0.73fpkAp?0.73?1860?140?4?760368N
P(1?e?(kx???))760368?(1?e?(0.0015?17.205?0.17?0.148353))PP???741293.97N
kx???0.0015?17.205?0.17?0.148353?L?PpLApEp?741293.97?17205?119.2mm
140?4?1.91?105③连续端N3
P??conAp?0.73fpkAp?0.73?1860?140?4?760368N
P(1?e?(kx???))760368?(1?e?(0.0015?17.24?0.17?0.148353))PP???741274.68N
kx???0.0015?17.24?0.17?0.148353?L?PpLApEp?741274.68?17240?119.5mm 5140?4?1.91?102
海滨大道北段二期工程预制箱梁钢绞线理论伸长值及压力表读数计算书
④连续端N4
P??conAp?0.73fpkAp?0.73?1860?140?4?760368N
P(1?e?(kx???))760368?(1?e?(0.0015?17.27?0.17?0.148353))PP???741258.14N
kx???0.0015?17.27?0.17?0.148353?L?PpLApEp?741258.14?17270?119.7mm 5140?4?1.91?10⑤连续端N5
P??conAp?0.73fpkAp?0.73?1860?140?4?760368N
P(1?e?(kx???))760368?(1?e?(0.0015?17.305?0.17?0.148353))PP???741238.85N
kx???0.0015?17.305?0.17?0.148353?L?PpLApEp?741238.85?17305?119.9mm 5140?4?1.91?10⑥非连续端N1
P??conAp?0.73fpkAp?0.73?1860?140?4?760368N
P(1?e?(kx???))760368?(1?e?(0.0015?17.325?0.17?0.148353))PP???741227.83N
kx???0.0015?17.325?0.17?0.148353?L?PpLApEp?741227.83?17325?120.1mm 5140?4?1.91?10⑦非连续端N2
P??conAp?0.73fpkAp?0.73?1860?140?4?760368N
P(1?e?(kx???))760368?(1?e?(0.0015?17.315?0.17?0.148353))PP???741233.34N
kx???0.0015?17.315?0.17?0.148353?L?PpLApEp?741233.34?17315?120.0mm 5140?4?1.91?10⑧非连续端N3
P??conAp?0.73fpkAp?0.73?1860?140?4?760368N
P(1?e?(kx???))760368?(1?e?(0.0015?17.3?0.17?0.148353))PP???741241.61N
kx???0.0015?17.3?0.17?0.148353
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