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1、30米箱梁后张法预应力钢绞线张拉伸长量计算书一、计算公式及参数L=Pp=1、预应力平均张拉力计算公式及参数：L钢绞线一端伸长量mmPp预应力筋平均张拉力NP预应力筋张拉端的张拉力NX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局部切线的夹角之和radk孔道每米局部偏差对摩檫的影响系数，取0.0015预应力筋与孔道壁的摩檫系数，取0.232、预应力筋的理论伸长值计算公式及参数：Pp预应力筋平均张拉力NL预应力筋的长度mmAp预应力筋的截面面积mm2，单根取140 mm2Ep预应力筋的弹性模量N/ mm2，取2.0105 N/ mm2Mpa在计算一端伸长量时，X=L二、伸长量计算以中
2、跨为例：1、N1束一端的伸长量：中跨4股单根钢绞线张拉的张拉力P=0.751860140=195300NX=30.722=15.36m=7.5180=0.131radKX+=0.001515.36+0.230.131=0.053Pp=P1-e-( KX+)/( KX+)= 1953004(1-e-0.053) 0.053=760803.74NL=PpL(ApEp)= 76085915360(14042.0105)L=104.3mm扣除10%初应力后L=104.31-10%=93.90mmN1总伸长量为93.9mm2=187.80mm2、N2束一端的伸长量：中跨4股单根钢绞线张拉的张拉力P=0.
3、751860140=195300NX=30.782=15.39m=7.5180=0.131radKX+=0.001515.39+0.230.131=0.053Pp =P1-e-( KX+)/ ( KX+)= 1953004(1-e-0.053) 0.053=760787NL= PpL (Ap Ep)= 76085915390(14042.0105)L =104.54mm扣除10%初应力后L=104.541-10%=94.09mmN2总伸长量为94.09mm2=188.17mm3、N3束一端的伸长量：中跨4股单根钢绞线张拉的张拉力P=0.751860140=195300NX=30.852=15.
4、425m=7.5180=0.131radKX+=0.001515.425+0.230.131=0.053Pp =P1-e-( KX+)/( KX+)=1953004(1-e-0.053) 0.053=760767NL= PpL(ApEp)=76085915425(14042.0105)L =104.78mm扣除10%初应力后L=104.791-10%=94.30mmN3总伸长量为94.31mm2=188.60mm4、N4束一端的伸长量：中跨5股单根钢绞线张拉的张拉力P=0.751860140=195300NX=30.562=15.28m=1.4180=0.024radKX+=0.001515.
5、28+0.230.024=0.029Pp =P1-e-(KX+)/ (KX+)= 1953005(1-e-0.028) 0.028=962696NL= PpL (Ap Ep)= 96269615280(14052.0105)L =105.07mm扣除10%初应力后L=105.071-10%=94.56mmN4总伸长量为94.56mm2=189. 12mm依次计算出边跨梁板的单端伸长量为：N1单端伸长量=93.11mm N2单端伸长量=94.87mmN3单端伸长量=94.78mm N4单端伸长量=95.79mm三、钢绞线的张拉控制应力计算以中跨N1为例N1 4股钢绞线：con=0.7518601
6、404=781.2KN0111号千斤顶张拉、10075122号油表时：千斤顶回归方程：Y=0.0316X+0.9式中：Y油压表读数MPa X千斤顶拉力KN10%con=78.12 KN时：Y=0.0316X+0.9=0.031678.12+0.9=3.37MPa20%con=156.24KN时：Y=0.0316X+0.9=0.0316156.24+0.9=5.84MPa 100%con=781.2KN时：Y=0.0316X+0.9=0.0316781.2+0.9=25.6MPa 0112号千斤顶张拉、10075127号油表时：千斤顶回归方程：Y=0.0319X+0.77：式中： Y油压表读数M
7、Pa X千斤顶拉力KN10%con=78.12 KN时：Y=0.0319X+0.77=0.031978.12+0.77=3.26MPa20%con=156.24KN时：Y=0.0319X+0.77=0.0319156.24+0.77=5.75MPa100%con=781.2KN时：Y=0.0319X+0.77=0.0319781.2+0.77=25.69MPa 30米箱梁边跨张拉数据表0111千斤顶 N010075122压力表钢束编号钢绞线数量10%初应力KN油表读数MP20%应力KN油表读数MP100%应力KN油表读数MP伸缩缝端伸长量mm连续端伸长量mm总伸长量mmN1597.654.01
8、95.307.1976.5031.893.1193.90187N2597.654.0195.307.1976.5031.894.8794.09189N3597.654.0195.307.1976.5031.894.7894.30189N4478.123.4156.245.8781.2025.695.7994.561900112千斤顶 N010075127压力表钢束编号钢绞线数量10%初应力KN油表读数MP20%应力KN油表读数MP100%应力KN油表读数MP伸缩缝端伸长量mm连续端伸长量mm总伸长量mmN1597.653.9195.307.0976.5031.993.1193.90187N25
9、97.653.9195.307.0976.5031.994.8794.09189N3597.653.9195.307.0976.5031.994.7894.30189N4478.123.3156.245.8781.2025.795.7994.5619030米箱梁中跨张拉数据表0111千斤顶 N010075122压力表钢束编号钢绞线数量10%初应力KN油表读数MP20%应力KN油表读数MP100%应力KN油表读数MP一端伸长量mm总伸长量mmN1478.123.4156.245.8781.2025.693.90188N2478.123.4156.245.8781.2025.694.09188N3
10、478.123.4156.245.8781.2025.694.30189N4597.654.0195.307.1976.5031.894.781890112千斤顶 N010075127压力表钢束编号钢绞线数量10%初应力KN油表读数MP20%应力KN油表读数MP100%应力KN油表读数MP一端伸长量mm总伸长量mmN1478.123.3156.245.8781.2025.793.90188N2478.123.3156.245.8781.2025.794.09188N3478.123.3156.245.8781.2025.794.30189N4597.653.9195.307.0976.5031.994.56189