钢绞线理论伸长值计算.doc

20m空心板梁预应力钢绞线理论伸长值一、材料预应力钢绞线：j15.24mm公称截面积为Ap=145mm2，Rby=1860Mp、Ep=1.97105Mp；锚具：采用YM15-3（4）锚具；钢绞线孔道：采用直径为56mm的预埋波纹管。二、控制张拉力3束 585.9KN4束 781.2 KN三、钢束N1、N2、N3分段计算伸长值后各自己叠加。（一）N1伸长值计算（至跨中）1、直线各参数如下：P=585.9KN=0rad x=0.631+0.561=1.192m k=0.0015 =0.225(取0.20.25中值)此段理论伸长值：L1=(PL)/(ApEp)=(5859001192)/(14531.97105)=8.15mm2、曲线段各参数如下：曲直交界点张拉力Px1= P-（kx+）=585900e-(0.00151.192)=584853N=12/180=0.20944rad x=4.398m k=0.0015 =0.225(取0.20.25中值)平均张拉应力：PP2= Px1（1-e-（kx+）/ kx+=584853（1-e-(0.00154.398+0.2250.20944)）/ （0.00154.398+0.2250.20944）=569421 N此段理论伸长值：L2=(PP2L)/(ApEp)=(5694214398)/(14531.97105)=29.22mm3、直线各参数如下：曲直交界点张拉力Px2= P x1-（kx+）=584853e-(0.00154.398+0.2250.20944)=554263N=0rad x=4.847m k=0.0015 =0.225(取0.20.25中值)平均张拉应力：PP3= Px2（1-e-（kx+）/ kx+=554263（1-e-(0.00154.847)）/ （0.00154.847）=552253N此段理论伸长值：L3=(PP3L)/(ApEp)=(5522534847)/(14531.97105)=31.24mm4、N1理论伸长值L=2（L1+L2+L3）=2（8.15+29.22+31.24）=137.22 mm（二）N2伸长值计算（至跨中）1、直线各参数如下：P=781.2KN=0rad x=1.363m k=0.0015 =0.225(取0.20.25中值)此段理论伸长值：L1=(PP1L)/(ApEp)=(7812001363)/(14541.97105)=9.32mm2、曲线段各参数如下：曲直交界点张拉力Px1= P-（kx+）=781200e-(0.00151.363)=779604N=8/180=0.13963rad x=2.932m k=0.0015 =0.225(取0.20.25中值)平均张拉应力：PP2= Px1（1-e-（kx+）/ kx+=779604（1-e-(0.00152.932+0.2250.13963)）/（ 0.00152.932+0.2250.13963）=765809 N此段理论伸长值：L2=(PP2L)/(ApEp)=(7658092932)/(14541.97105)=19.65mm3、直线各参数如下：曲直交界点张拉力Px2= P x1-（kx+）=779604e-(0.00152.932+0.2250.13963)=752177N=0rad x=6.113m k=0.0015 =0.225(取0.20.25中值)平均张拉应力：PP3= Px2（1-e-（kx+）/ kx+=752177（1-e-(0.00156.113)）/（ 0.00156.113）=755636N此段理论伸长值：L3=(PP3L)/(ApEp)=(7556366113)/(14541.97105)=40.43mm4、N1理论伸长值L=2（L1+L2+L3）=2（9.32+19.65+40.43）=138.8mm（三）N3伸长值计算（至跨中）1、直线各参数如下：P=781.2KN=0rad x=1.328m k=0.0015 =0.225(取0.20.25中值)此段理论伸长值：L1=(PP1L)/(ApEp)=(7812001328)/(14541.97105)=9.08mm2、曲线段各参数如下：曲直交界点张拉力Px1= P-（kx+）=781200e-(0.00151.328)=779645N=2/180=0.0349rad x=0.873m k=0.0015 =0.225(取0.20.25中值)平均张拉应力：PP2= Px1（1-e-（kx+）/ kx+=779645（1-e-(0.00150.873+0.2250.0349)）/（0.00150.873+0.2250.0349）=776084 N此段理论伸长值：L2=(PP2L)/(ApEp)=(776084873)/(14541.97105)=5.93mm3、直线各参数如下：曲直交界点张拉力Px2= P x1-（kx+）=779645e-(0.00150.873+0.2250.0349)=772535N=0rad x=8.191m k=0.0015 =0.225(取0.20.25中值)平均张拉应力：PP3= Px2（1-e-（kx+）/ kx+=752177（1-e-(0.00158.191)）/ （0.00158.191）=767809N此段理论伸长值：L3=(PP3L)/(ApEp)=(7678098191)/(14541.97105)=55.04mm4、N1理论伸长值L=2（L1+L2+L3）=2（9.08+5.93+55.04）=140.1mm四、20米梁板张拉理论值与范围钢绞线编号理论伸长值（）允许范围（）N113.712.8814.52N213.913.0714.73N314.013.1214.84五、千斤顶与油压表对照1、千斤顶编号：1 油压表编号：5399线性回归方程：Y=0.049069X+0.12项目3孔4孔X（KN）Y(Mpa)X（KN）Y(Mpa)初应力10%con58.592.9978.123.9520%con117.185.87156.247.79100%con585.928.87781.238.45103%con603.4829.73804.6439.602、千斤顶编号：2 油压表编号：6554线性回归方程：Y=0.049607X+0.