30m预应力箱梁张拉应力计算伸长量

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：6=075R=0。75x1860=1395MpaKOyb根据公式P=6xAPxnAP=139mm2K(1)正弯矩四股、五股钢绞线张拉力：P=1395x139x4=775。6KN4P5=1395x139x5=969。5KN(2)负弯矩单根张拉力P1=1395x139=1939KNO二、预应力钢绞线的理论伸长值计算：伸长量△[=PpLPp=P(1-e(kL+糜))ApEpkL+^。根据图纸设计及钢绞线的技术指标，取值如下：Ap=139mm2Ep=1。95x105Mpa6K=1395Mpa查《桥规》附表C1得k、^值，k=0.15^=0.17张拉端张拉力P=6xAp=1395x139=193905N1 K1、中跨箱梁:(1)N1(2x4)：分段LekL+"6-(kL+^0)113o8950o087250.0356750o964953852 0.785 0 0o11775 0o99882319AL：Pp=193905x(1-Q96495385)/0。035675=190487N1 i o△L1=190487x13.895/(13X1。95x105)=0.09765mAL2:P2=2Pp1-P1=2x190487-193905=187069NPp=187069x(1-0.99882319)/0.11775=186959N2AL=186959x0o785/(139x1。95x10)=0.5414m25N^T伸长值(AL+AL)x2=20。6cm12⑵N2(2x4)：分段LekL+"6-(kL+^0)112.2890o087250.0332660.967281232 2o407 0 0o36105 0.99639601AL：Pp=193905x(1-096728123)/0.033266=190715N1 1 oAL=190715x12.289/(139x1。95x10)=0。086467m1 5AL2:P2=2Pp1-P1=2x190715-193905=187525NPp2=187525x(1-0.99639601)/0,36105=187187NAL=187187x2o407/(139x1.95x105)=0.016623m2N的伸长值(AL1+AL2)x2=20.6cm2⑶N3(2X4):分段LekL+"e-(klte)110.6830.087250。0308570.96961422402900.604350.99397473OL1：Pp1=193905x(1—0。9696142)/0。030857=190944NL1=190944x10.683/(139乂1.95x105)=0.0752575m△L2:P=2Pp-P=2x190944-193905=187983N2 1 1Pp=187983x(1—0.99397473)/060435=187416N2△L=187416x4。029/(139X1.95x10)=0.027858m25N的伸长值(△L+AL)x2=20.6cm312(4)N(2X4):。4分段LekL+"e-(klF)11。7990。024430。685160.99317182212.78300.01917450。981816△L：Pp=193905x(1-0.99317182)/^068516=193242N1 1△L=193242x1.799/(139x1.95x105)=0。012825m1△L:P=2Pp-P=2x193242-193905=192579N2211Pp2=192579x(1-0.981816/0.0191745=190744N△L=190744x12783/(139X1。95x105)=0.089956m2ON4的伸长值(△L+AL)x2=20.5cm1 22、边跨箱梁:P=6xAp=1395x139=193905N1K⑴N1(2x5)：分段LekL+"6-(kL+^0)l12.11050.087250.032998250O9675402522.63200.39480O99605978AL：PP=193905x(1—0。96754025)/003299825=190741N1]AL=190741x12.1105/(139x1.95x105)=0085222mIOAL:P=2Pp-P=2x190741-193905=187577N22iiPp=187577x(1-099605978)/0。3948=187207N2AL2=187207x2o632/(139X1。95x105)=0。0181785mN的伸长值(AL+ALJXZHZ。。7cm]J(2)N2(2x5)：分段LekL+"e—(kL+)40)l10O5160.087250.03060650O9698571424O23200O63480.99367211AL1:Pp=193905x(l-Q96985714)/0.0306065=190967NiAL=190967x10.516/(13X1。95x105)=0.07408998miAL2：P=2Pp-P=2x190967-193905=188029N2iiPp=188029x(1—0。99367211)/06348=187433N2AL2=187433x4.232/(139x1o95x105)=002926458mON2的伸长值(AL+AL)x2=20.67cmi 2(3)N3(2x5)：分段分段LekL+"0-(kL+")18。92050.087250。028213250。9721810325。83200。87480.99129015△L1:Pp=193905x(1-Q.972181Q))/0.02821325=191195Ni△L1=191195x8.9205/(13X1。95x105)=0。062924m△L2：P=2Pp-P=2x191195-193905=188485N2iiPp=188485x(1-0.99129015/0.8748=187663N2△L=187663x5.832/(139x1.95x105)=0。04037819m2N3的伸长值(△L+AL)x2=20.66cm12(4)N4(2x4)：分段LekL+"e(kL+]j0)—11。706。024430.671210.993310380212.97000.0194550。98073303△L1:Pp=193905x(1-0.99331038)/0.67121=193256N1△L=193256x1。706/(139x1.95x10)=0.0121636m1 5△L2：P=2Pp-P=2x193256-193905=192607N2 1 1Pp=192607x(1-0。98073303)/0.019455=190745N2△L=190745x1297/(139x1。95x105)=0。09127329m2oN4伸长值(△L+AL)x2=20。68cm1 23、负弯矩伸长值(1)T1(2x5)整段LekL+"e—(kL+^e)1700.01050.98955493△L1:Pp=193905x(1-Q,9895549))/0.0105=192891Ni△L1=192891x7/(139x1。95x105)=0。05mT1伸长值(ALQ=0。5cm⑵T2(2x5)整段Lekl+"e(ki+ae)—11000。0150.985112△L：Pp=193905x(1-0.985112)/0015=192457N11△L=192457x10/(139x195x105)=0。071m1oT2伸长值(AL1)=7。1cm(3)T3(3x5)整段LekL+aee-(kL+ae)11500。02250.97775124△L1：Pp=193905x(1-0.97775124)/0.0225=191740N1△L=191740x15/(139x1.95x10)=0。106m15T1伸长值(AL])=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：6=0.75R=0。75x1860=1395MpaKyb根据公式P=6xAPxnAP=139mm2K（1）正弯矩四股、五股钢绞线张拉力：P=1395x139x4=775.6KN4P5=1395x139x5=969.5KN（2）负弯矩单根张拉力P1=1395x139=1939KNO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+0.65#2#千斤顶（20208 压力表）：Y=0.0329X+0.2#3#千斤顶（20212#压力表）：Y=0.2251X+0.794千斤顶（90411#压力表）：Y=0。2257X+069#o计算得到张拉力为10%6、20%6、1%6时油压表读数如下表：KKK1#千斤顶（20204压力表）#钢绞线股数张拉控制力压力表（MPa）（KN）77。56(10%)3.204束。12(20%)5.75155775.6(1%)25。596。95(10%)3。845束193.9(2%)7.03。5(1%)。5969322#千斤顶压力表）（20208#钢绞线股数张拉控制力（KN）压力表（MPa）77。56(10%)2。754束155。12(20%)5.30775.6(1%)25。7296.95(10%)3.395束。6.581939(20%)969.5(10%)32.093#千斤顶（20212#压力表）钢绞线股数张拉控制力（KN）压力表（MPa）13。99(10%)3。941束27。98(20%)7.09139.9(1%)32。34千斤顶（90411#压力表）#钢绞线股数张拉控制力压力表（MPa）（KN）13.99(10%)3.851束27.98(20%)7。0。(1%)32.261399中跨梁钢绞线理论伸长值一览表编号N1N2N3N40〜6K伸长值(cm)20.6。620.620.520误差范围19。4〜21。819。4〜21。819。4〜21。819。3~21.7（cm）中跨边梁2x42x42x4