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1、省道 309 线宝昌至沽源（蒙冀界）段公路20m 后张箱梁张拉计算书锡林郭勒汇通路桥有限责任公司省道309 宝沽公路项目部二一四年六月精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 1 页，共 4 页20m 箱梁预应力张拉计算书第一章伸长量计算省道 309 线宝昌至沽源（蒙冀界）段公路20m 箱梁，设计采用1、标准强度 fpk=1860Mpa 的高强度、低松弛钢绞线2、钢绞线公称直径15.2mm3、钢绞线公称截面面积Ap=140mm24、弹性模量 Eg=105Mpa 5、塑料波纹管=，k=为保证施工符合设计要求，施工中采用油压表读数和钢绞线拉伸测定值双控。理论伸长量计算采用
2、公路桥涵施工技术规范JTG/T F50-2011 第 7.6.3 条及附录 C1 预应力钢绞线理论伸长值及平均张拉力计算公式。一、计算公式及参数1、预应力平均张拉力计算公式及参数：Pp=P(1-e-(kx+)kx+P=Ap1860 Pp 预应力筋的平均张拉力（N）P 预应力筋张拉端的张拉力（N）x 从张拉端至计算截面的孔道长度（m）从张拉端至计算截面的曲线孔道部分切线的夹角之和（rad）k 孔道每米局部偏差对摩擦的影响系数，取精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 2 页，共 4 页文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档
3、编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T
4、1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W1
5、0 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2
6、文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R
7、2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6
8、W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1
9、Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2 预应力筋与孔道壁的摩擦系数，取2、预应力筋的理论伸长值LL计算公式及参数：LL=Pp LAp EpPz=Pq e-(k X+)式中：Pp预应力筋平均张拉力（N）L预应力筋的长度（m）Ap预应力筋的截面面积（mm2），取 140mm2Ep预应力筋的弹性模量（N/mm2）取 105N/mm2 Pz分段终点力（N）Pq分段的起点力（N）二、伸长值计算：
10、1、N1 束一端的伸长量(中跨)：单根钢绞线张拉的张拉力P=1860140=195300N XAB=6.384m XBC=2.880m XCD=0.537m=180=(rad)k XAB直+=+0=k XBC曲+=+=k XCD直+=+0=PpAB直=P(1-e-(kx+)kx+=错误!=精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 3 页，共 4 页文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 Z
11、P9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编
12、码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1
13、 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10
14、 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文
15、档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2
16、T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W
17、10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2Pz AB直=P e-(kX+)=195300 =Pq BC曲=Pz AB直=PpBC曲=Pq BC曲(1-e-(kx+)kx+=错误!=Pz BC曲=Pq BC曲 e-(kX+)=Pq CD直=Pz BC曲=PpCD直=Pq CD直(1-e-(kx+)kx+=错误!=LAB直=PpAB直LAB直Ap Ep=错误!=45.45mm LBC曲=PpBC曲LBC曲Ap Ep=错误!=20.12mm L CD直=PpCD直LCD直Ap Ep=错误!=3.70mm 2(LAB直+LBC曲+L
18、CD直)=2+=138.54mm 同理，可算出中跨N2、N3、T1、T2、T3 及边跨N1、N2、N3、T1、T2、T3 束钢绞线伸长值。计算结果见附表（20m 中跨箱梁后张法预应力钢绞线理论伸长值计算表、20m 边跨箱梁后张法预应力钢绞线理论伸长值计算表）第二章千斤顶张拉力与与对应油表读数计算一、钢绞线的张拉控制应力5 根钢绞线：P1=5P=4 根钢绞线：P1=4P=3 根钢绞线：P1=3P=三、张拉力与对应油表读数计算表：精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 4 页，共 4 页文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档
19、编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T
20、1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W1
21、0 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2
22、文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R
23、2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6
24、W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2文档编码:CY4Y7Q9R2T1 HS9V1U9I6W10 ZP9Z4H3N1Z2