后张法预制T梁钢绞线张拉伸长量计算

1、.后 张 法 预 制 T 梁 （30m）钢绞线张拉伸长量计算书长深高速公路LJ4标后张法预制T梁钢绞线张拉伸长量计算遵化南互通板梁预制厂位于遵化南互通区内，占地23亩。预制厂内设26个后张法T梁台座，负责生产302片T梁。所有T梁均采用C50砼浇筑。预应力钢绞线采用GB/T5224-2003标准的高强低松弛15.2mm预应力钢绞线。钢绞线标准强度=1860Mpa。所有预应力钢绞线采用张拉和伸长值双控张拉施工，张拉控制应力按设计施工图正弯矩采用=0.73×=0.73×1860 Mpa=1357.8 Mpa。根据天津市市政公路材料试验管理局试验中心的检测结果，我部进场的钢绞线弹

2、性模量为=1.95×105Mpa，单根公称截面积为Ay=1357.8×103×140×10-6=190.09KN。T梁的张拉施工工艺及计算数据如下。一、 张拉施工工艺及程序：根据公路桥涵施工技术规范和设计图纸规定，张拉施工控制采用张拉和伸长值双控方式很圆锚整体张拉、扁锚单根张拉的施工工艺。张拉施工程序如下：低松弛预应力钢绞线0初应力（持荷两分钟）锚固，即用两个150t千斤顶两端同时张拉，初应力为的10%，此时的伸长值为，其值采用相邻级的伸长值。控制张拉应为=0.73×=0.73×1860 Mpa=1357.8 Mpa即为末张的应力值。

3、其中伸长值=，为开始至初张的伸长量，为初张至末张间的伸长量。张拉完毕后，与计算伸长值比较，其伸长值误差不应超过6%，否则应停止张拉，查明原因。二、 计算参数：1、15.2钢绞线的弹性模量：=1.95×105Mpa2、15.2钢绞线的张拉控制应力：正弯矩：=0.73×=0.73×1860 Mpa=1357.8 Mpa3、孔道摩阻系数：=0.254、孔道每米局部偏差对摩擦的影响系数：k=0.0015三、 张拉伸长量计算：1、 计算公式： 式中： P·········钢绞线张拉力

4、·········预应力钢绞线的计算伸长量 L·········预应力钢绞线的长度·········预应力钢绞线的弹性模量·········钢绞线的截面积简化计算式：······&

5、#183;··钢绞线平均张拉力， ·········预应力钢绞线的计算伸长量 L·········预应力钢绞线的长度·········预应力钢绞线的弹性模量·········钢绞线的截面积2、 张拉伸长量计算表：30米T

6、梁边跨边梁钢束编号孔道长度（米）工作长度（米）钢绞线根数（根）夹角（rad）（m）正弯矩N129.591.270.12217300.96345370.206866N229.5531.270.11344640.96451870.206836N329.5131.270.11344640.96454730.206566N429.4731.270.11344640.96457590.20630630米T梁边跨中梁钢束编号孔道长度（米）工作长度（米）钢绞线根数（根）夹角（rad）（m）正弯矩N129.591.270.12217300.96345370.206866N229.5531.270.113446

7、40.96451870.206836N329.5131.260.11344640.96454730.206566N429.4731.260.11344640.96457590.20630630米T梁中跨边梁钢束编号孔道长度（米）工作长度（米）钢绞线根数（根）夹角（rad）（m）正弯矩N129.551.270.12217300.96348220.206596N229.511.270.11344640.96454730.206566N329.4731.260.11344640.96457590.206306N429.4331.260.11344640.96457590.20604630米T梁中跨中

8、梁钢束编号孔道长度（米）工作长度（米）钢绞线根数（根）夹角（rad）（m）正弯矩N129.551.260.12217300.96348220.206596N229.511.260.11344640.96454730.206566N329.4731.260.11344640.96457590.206306N429.4331.260.11344640.96457590.206046四、预应力T梁控制张拉力计算：1、边跨边梁N1、N2、N3、N4，边跨中梁N1、N2，中跨边梁N1、N2：FK= ×n×=0.73×1860×103×7×0.1

9、40×10-3 =1330.644KN2、边跨中梁N3、N4，中跨边梁N3、N4，中跨中梁N1、N2、N3、N4：FK= ×n×=0.73×1860×103×6×0.140×10-3 =1140.552KN五、 张拉数据表：1、 边跨边梁N1，边跨中梁N1正弯矩钢绞线：分级张拉顺序平均张拉力（KN）控制张拉力（KN）张拉控制应力（Mpa）油表读数伸长量（cm）备注8384858610%张拉力128.20133.06135.784.33.74.24.22.0720%张拉力256.40266.13271.568.57.

10、88.48.44.1440%张拉力512.81532.26543.1216.916.216.816.78.2760%张拉力769.21798.39814.6825.324.525.225.112.4180%张拉力1025.611064.521086.2433.632.933.733.516.55100%张拉力1282.011330.6441357.842.041.242.141.820.692、 边跨边梁N2、边跨中梁N2正弯矩钢绞线：分级张拉顺序平均张拉力（KN）控制张拉力（KN）张拉控制应力（Mpa）油表读数伸长量（cm）备注8384858610%张拉力128.34133.06135.78

11、4.33.74.24.22.0720%张拉力256.69266.13271.568.57.88.48.44.1440%张拉力512.37532.26543.1216.916.216.816.88.2760%张拉力770.06798.39814.6825.324.525.225.112.4180%张拉力1026.741064.521086.2433.632.933.733.516.55100%张拉力1283.431330.6441357.842.141.242.241.920.693、 边跨边梁正弯矩钢绞线（N3）：分级张拉顺序平均张拉力（KN）控制张拉力（KN）张拉控制应力（Mpa）油表读数伸

12、长量（cm）备注8384858610%张拉力128.35133.06135.784.33.74.24.22.0720%张拉力256.69266.13271.568.57.88.48.44.1340%张拉力513.39532.26543.1216.916.216.816.88.2760%张拉力770.08798.39814.6825.324.525.325.112.3980%张拉力1026.781064.521086.2433.732.933.733.516.52100%张拉力1283.471330.6441357.842.141.242.241.920.664、 边跨边梁正弯矩钢绞线（N4）：

13、分级张拉顺序平均张拉力（KN）控制张拉力（KN）张拉控制应力（Mpa）油表读数伸长量（cm）备注8384858610%张拉力128.35133.06135.784.33.74.24.22.0620%张拉力256.7266.13271.568.57.88.48.44.1340%张拉力513.40532.26543.1216.916.216.816.88.2560%张拉力770.10798.39814.6825.324.525.325.112.3880%张拉力1026.811064.521086.2433.732.933.733.516.50100%张拉力1283.511330.6441357.8

14、42.141.342.241.920.635、 边跨中梁正弯矩钢绞线（N3）：分级张拉顺序平均张拉力（KN）控制张拉力（KN）张拉控制应力（Mpa）油表读数伸长量（cm）备注8384858610%张拉力110.01114.06135.783.73.13.63.62.0720%张拉力220.02228.11271.567.36.77.27.24.1340%张拉力440.05456.22543.1214.513.814.414.48.2660%张拉力660.07684.33814.6821.721.021.721.512.3980%张拉力880.09912.441086.2428.928.128.

15、928.716.52100%张拉力1100.121140.5521357.836.135.336.135.920.666、 边跨中梁N4，中跨边梁N3，中跨中梁N3正弯矩钢绞线：分级张拉顺序平均张拉力（KN）控制张拉力（KN）张拉控制应力（Mpa）油表读数伸长量（cm）备注8384858610%张拉力110.01114.06135.783.73.13.63.62.0620%张拉力220.03228.11271.567.36.77.27.24.1340%张拉力440.06456.22543.1214.513.814.414.48.2560%张拉力660.09684.33814.6821.721.

16、021.721.512.3880%张拉力880.12912.441086.2428.928.128.928.716.50100%张拉力1100.151140.5521357.836.135.336.135.920.637、 中跨边梁正弯矩钢绞线（N1）：分级张拉顺序平均张拉力（KN）控制张拉力（KN）张拉控制应力（Mpa）油表读数伸长量（cm）备注8384858610%张拉力128.21133.06135.784.33.74.24.22.0720%张拉力256.41266.13271.568.57.88.48.44.1340%张拉力512.82532.26543.1216.916.216.81

17、6.78.2660%张拉力769.23798.39814.6825.324.525.325.112.3980%张拉力1025.641064.521086.2433.632.933.733.516.52100%张拉力1282.051330.6441357.842.041.242.141.820.668、 中跨边梁正弯矩钢绞线（N2）：分级张拉顺序平均张拉力（KN）控制张拉力（KN）张拉控制应力（Mpa）油表读数伸长量（cm）备注8384858610%张拉力128.35133.06135.784.33.74.24.22.0720%张拉力256.69266.13271.568.57.88.48.44

18、.1340%张拉力513.39532.26543.1216.916.216.816.88.2660%张拉力770.08798.39814.6825.324.525.325.112.3980%张拉力1026.781064.521086.2433.732.933.733.516.52100%张拉力1283.471330.6441357.842.141.242.241.920.669、 中跨边梁N4,中跨中梁N4正弯矩钢绞线：分级张拉顺序平均张拉力（KN）控制张拉力（KN）张拉控制应力（Mpa）油表读数伸长量（cm）备注8384858610%张拉力110.01114.06135.783.73.13.

19、63.62.0620%张拉力220.03228.11271.567.36.77.27.24.1340%张拉力440.06456.22543.1214.513.814.414.48.2460%张拉力660.09684.33814.6821.721.021.721.512.3680%张拉力880.12912.441086.2428.928.128.928.716.48100%张拉力1110.151140.5521357.836.135.336.135.920.6010、 中跨中梁正弯矩钢绞线（N1）：分级张拉顺序平均张拉力（KN）控制张拉力（KN）张拉控制应力（Mpa）油表读数伸长量（cm）备注8

20、384858610%张拉力119.89114.06135.783.73.13.63.62.0720%张拉力219.78228.11271.567.36.67.27.24.1340%张拉力439.56456.22543.1214.513.814.414.48.2660%张拉力659.34684.33814.6821.720.921.621.512.3980%张拉力879.12912.441086.2428.828.128.928.716.52100%张拉力1098.901140.5521357.836.035.336.135.920.6611、 中跨中梁正弯矩钢绞线（N2）：分级张拉顺序平均张拉

21、力（KN）控制张拉力（KN）张拉控制应力（Mpa）油表读数伸长量（cm）备注8384858610%张拉力110.01114.06135.783.73.13.63.62.0720%张拉力220.02228.11271.567.36.77.27.24.1340%张拉力440.05456.22543.1214.513.814.414.48.2660%张拉力660.07684.33814.6821.721.021.721.512.3980%张拉力880.09912.441086.2428.928.128.928.716.52100%张拉力1100.121140.5521357.836.135.336.135.92