《30m预应力箱梁张拉应力计算伸长量.doc》由会员分享，可在线阅读，更多相关《30m预应力箱梁张拉应力计算伸长量.doc（9页珍藏版）》请在三一文库上搜索。
1、30m预应力箱梁张拉应力、伸长量计算一、预应力钢绞线张拉力计算：根据图纸设计预应力钢绞线锚下控制应力：K=0.75Ryb=0.751860=1395Mpa根据公式P=KAPn AP=139mm2（1）正弯矩四股、五股钢绞线张拉力：P4=13951394=775.6KNP5=13951395=969.5KN（2）负弯矩单根张拉力P1=1395139=193.9KN二、预应力钢绞线的理论伸长值计算：伸长量L= PpL Pp= P（1-e-(kL+)）ApEp kL+ 根据图纸设计及钢绞线的技术指标，取值如下：Ap=139mm2 Ep=1.95105Mpa K=1395Mpa查桥规附表C1得k、值，
2、k=0.0015 =0.17张拉端张拉力P1=KAp=1395139=193905N1、中跨箱梁:（1）N1（24）：分段LkL+e-(kL+)113.8950.087250.0356750.9649538520.78500.00117750.99882319L1: Pp1=193905（1-0.96495385）/0.035675=190487NL1=19048713.895/(1391.95105)=0.09765mL2: P2=2 Pp1-P1=2190487-193905=187069NPp2=187069（1-0.99882319）/0.0011775=186959N L2=1869
3、590.785/(1391.95105)=0.005414mN1的伸长值（L1+L2）2=20.6cm（2）N2（24）： 分段LkL+e-(kL+)112.2890.087250.0332660.9672812322.40700.00361050.99639601L1: Pp1=193905（1-0.96728123）/0.033266=190715NL1=19071512.289/(1391.95105)=0.086467mL2: P2=2 Pp1-P1=2190715-193905=187525NPp2=187525（1-0.99639601）/0.0036105=187187N L2=
4、1871872.407/(1391.95105)=0.016623mN2的伸长值（L1+L2）2=20.6cm（3）N3（24）： 分段LkL+e-(kl+)110.6830.087250.0308570.969614224.02900.00604350.99397473L1: Pp1=193905（1-0.9696142）/0.030857=190944NL1=19094410.683/(1391.95105)=0.0752575mL2: P2=2 Pp1-P1=2190944-193905=187983NPp2=187983（1-0.99397473）/0.0060435=187416N
5、L2=1874164.029/(1391.95105)=0.027858mN3的伸长值（L1+L2）2=20.6cm（4）N4（24）： 分段LkL+e-(kl+)11.7990.024430.00685160.99317182212.78300.01917450.98100816L1: Pp1=193905（1-0.99317182）/0.0068516=193242NL1=1932421.799/(1391.95105)=0.012825mL2: P2=2 Pp1-P1=2193242-193905=192579NPp2=192579（1-0.98100816）/0.0191745=190
6、744N L2=19074412.783/(1391.95105)=0.089956mN4的伸长值（L1+L2）2=20.5cm2、边跨箱梁：P1=KAp=1395139=193905N（1）N1（25）： 分段LkL+e-(kL+)112.11050.087250.032998250.9675402522.63200.0039480.99605978L1: Pp1=193905（1-0.96754025）/0.03299825=190741NL1=19074112.1105/(1391.95105)=0.085222mL2: P2=2 Pp1-P1=2190741-193905=187577
7、NPp2=187577（1-0.99605978）/0.003948=187207N L2=1872072.632/(1391.95105)=0.0181785mN1的伸长值（L1+L2）2=20.7cm（2）N2（25）：分段LkL+e-(kL+)110.5160.087250.03060650.9698571424.23200.0063480.99367211L1: Pp1=193905（1-0.96985714）/0.0306065=190967NL1=19096710.516/(1391.95105)=0.07408998mL2: P2=2 Pp1-P1=2190967-193905=
8、188029NPp2=188029（1-0.99367211）/0.006348=187433N L2=1874334.232/(1391.95105)=0.02926458mN2的伸长值（L1+L2）2=20.67cm（3）N3（25）：分段分段LkL+e-(kL+)18.92050.087250.028213250.9721810325.83200.0087480.99129015L1: Pp1=193905（1-0.97218103）/0.02821325=191195NL1=1911958.9205/(1391.95105)=0.062924mL2: P2=2 Pp1-P1=21911
9、95-193905=188485NPp2=188485（1-0.99129015）/0.008748=187663N L2=1876635.832/(1391.95105)=0.04037819mN3的伸长值（L1+L2）2=20.66cm（4）N4（24）：分段LkL+e-(kL+)11.7060.024430.00671210.99331038212.97000.0194550.98073303L1: Pp1=193905（1-0.99331038）/0.0067121=193256NL1=1932561.706/(1391.95105)=0.0121636mL2: P2=2 Pp1-P1
10、=2193256-193905=192607NPp2=192607（1-0.98073303）/0.019455=190745N L2=19074512.97/(1391.95105)=0.09127329mN4伸长值（L1+L2）2=20.68cm3、负弯矩伸长值（1）T1（25）整段LkL+e-(kL+)1700.01050.98955493L1: Pp1=193905（1-0.98955493）/0.0105=192891NL1=1928917/(1391.95105)=0.05mT1伸长值（L1）=0.5cm（2）T2（25）整段Lkl+e-(kl+)11000.0150.985112
11、L1: Pp1=193905（1-0.985112）/0.015=192457NL1=19245710/(1391.95105)=0.071mT2伸长值（L1）=7.1cm（3）T3（35）整段LkL+e-(kL+)11500.02250.97775124L1: Pp1=193905（1-0.97775124）/0.0225=191740NL1=19174015/(1391.95105)=0.106mT1伸长值（L1）=10.6cm预应力钢绞线张拉力对应油表读数一、根据图纸设计预应力钢绞线锚下控制应力：K=0.75Ryb=0.751860=1395Mpa根据公式P=KAPn AP=139mm2
12、（1）正弯矩四股、五股钢绞线张拉力：P4=13951394=775.6KNP5=13951395=969.5KN（2）负弯矩单根张拉力P1=1395139=193.9KN二、根据千斤顶及压力表检定报告及1#、2#千斤顶回归线型方程：1#千斤顶（20204#压力表）：Y=0.0329X+0.652#千斤顶（20208#压力表）：Y=0.0329X+0.23#千斤顶（20212#压力表）：Y=0.2251X+0.794#千斤顶（90411#压力表）：Y=0.2257X+0.69计算得到张拉力为10%K、20%K、100%K时油压表读数如下表:1#千斤顶（20204#压力表）钢绞线股数张拉控制力(K
13、N)压力表(MPa)4束77.56(10%)3.20155.12(20%)5.75775.6(100%)25.55束96.95(10%)3.84193.9(20%)7.03969.5(100%)32.52#千斤顶（20208#压力表）钢绞线股数张拉控制力(KN)压力表(MPa)4束77.56(10%)2.75155.12(20%)5.30775.6(100%)25.725束96.95(10%)3.39193.9(20%)6.58969.5(100%)32.093#千斤顶（20212#压力表）钢绞线股数张拉控制力(KN)压力表(MPa)1束13.99(10%)3.9427.98(20%)7.09
14、139.9(100%)32.34#千斤顶（90411#压力表）钢绞线股数张拉控制力(KN)压力表(MPa)1束13.99(10%)3.8527.98(20%)7.0139.9(100%)32.26中跨梁钢绞线理论伸长值一览表编号N1N2N3N40K伸长值(cm)20.620.620.620.5误差范围(cm)19.421.819.421.819.421.819.321.7中跨边梁24242424中跨中梁24242424边跨梁钢绞线理论伸长值一览表编号N1N2N3N40K伸长值(cm)20.720.720.720.7误差范围(cm)19.521.919.521.919.521.919.521.9边跨边梁25252524边跨中梁25252524负弯矩理论伸长值一览表编号T1T2T30K伸长值(cm)0.57.110.6误差范围(cm)0.470.536.77.51011.2