后张法预应力钢绞线的理论伸长量计算书_secret.doc

后张法预应力钢绞线的理论伸长量计算书一、 计算依据：公路桥涵施工技术规范（JTJ041-2000）及施工图纸二、 计算公式： L=PpL/AyEg式中：L理论伸长值 Pp平均张拉力（N） L 预应力钢材长度（cm） Eg预应力钢材弹性模量（N/mm2） Ay预应力钢材截面面积（mm2）平均张拉力Pp的计算公式Pp=P1-e-（kx+）/（kx+） 式中： P预应力钢材张拉端张拉力 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曲线孔道部分切线的夹角之和（rad）预应力钢筋与孔道壁的摩擦系数。见（JTJ041-2000）附表11.4k孔道每米局部偏差对摩擦的影响系数。见（JTJ041-2000）附表11.4三、计算参数的选取：Eg=1.95105（实验数据），Ay=140mm2 。k=0.0015，=0.25(图纸给定)每根预应力钢绞线端部计算长度增加45cm。1、 正弯矩钢绞线伸长量计算16m 端跨空心板预应力钢材伸长量：钢绞线束N1的值：左1=0.038144、右1=0.038144钢绞线束N2的值：左2=0.039055、右2=0.039055将钢绞线束按直线段、圆曲线段、直线段分为三段：直线段：N1：P1=1357.8140=190092（N），X1=45+264.8=309.8，X1=45+253=298左Pp1= P1-e-（kx+）/（kx+）=1900921-e-（0.00153.098+0.250）/0.00153.098+0.250 =189651.00（N）右Pp1= P1-e-（kx+）/（kx+）=1900921-e-（0.00152.98+0.250）/0.00152.98+0.250 =189667.78（N）左L1 =189651.00309.8/1.95105140=2.1522cm右L1=189667.78298/1.95105140=2.0704cm圆曲线段：P2=189651.002-190092=189210.01(N)P2=189667.782-190092=189243.55(N)左Pp2= P1-e-（kx+）/（kx+）=189210.011-e-（0.00152.397+0.250.038144）/0.00152.397+0.250.038144 =188849.35（N）右Pp2= P1-e-（kx+）/（kx+）=189243.551-e-（0.00152.454+0.250.039055）/0.00152.454+0.250.039055 =188819.84（N）左L2 =188849.35276.8/1.95105140=1.6581cm右L2=188819.84265/1.95105140=1.6973cm直线段：P3=188849.352-189210.01=188488.69(N)P3=188819.842-189243.55=188396.12(N)左Pp3= P1-e-（kx+）/（kx+）=188488.691-e-（0.00153.1137+0.250）/0.00153.1137+0.250 =188049.2（N）右Pp3= P1-e-（kx+）/（kx+）=188396.121-e-（0.00152.4583+0.250）/0.00152.4583+0.250 =188049.2（N）左L3 =188049.2311.37/1.95105140=2.1448cm右L3=188049.2245.83/1.95105140=1.6933cm 左L =5.955cm 右L =5.461cm 全板L =11.416 钢绞线束N1的值：左1=0.024783、右1=0.024783钢绞线束N2的值：左2=0.025594、右2=0.025594N2：P1=1357.8140=190092（N），X1=45+205=217，X1=45+193.4=217左Pp1= P1-e-（kx+）/（kx+）=1900921-e-（0.00152.50+0.250）/0.00152.50+0.250 =189736.02（N）右Pp1= P1-e-（kx+）/（kx+）=1900921-e-（0.00152.384+0.250）/0.00152.384+0.250 =189752.52（N）左L1 =189736.02250/1.95105140=1.7375cm右L1=189752.52238.4/1.95105140=1.6570cm圆曲线段：P2=189736.022-190092=189380.05(N)P2=189752.522-190092=189413.04(N)左Pp2= P1-e-（kx+）/（kx+）=189380.051-e-（0.00151.557+0.250.024783）/0.00151.557+0.250.024783 =189283.44（N）右Pp2= P1-e-（kx+）/（kx+）=189413.041-e-（0.00151.608+0.250.025594）/0.00151.608+0.250.025594 =189257.05（N）左L2 =189283.44155.7/1.95105140=1.0795cm右L2=189257.05160.8/1.95105140=1.1147cm直线段：P3=189283.442-189380.05=189186.83(N)P3=189257.052-189413.04=189101.06(N)左Pp3= P1-e-（kx+）/（kx+）=189186.831-e-（0.00154.51065+0.250）/0.00154.51065+0.250 =188548.26（N）右Pp3= P1-e-（kx+）/（kx+）=187386.81-e-（0.00153.90535+0.250）/0.00153.90535+0.250 =188548.26（N）左L3 =188548.26451.065/1.95105140=3.1153cm右L3=186973.2507390.535/1.95105140=2.6972cm 左L =5.932cm 右L =5.469cm 全板L=11.40116m 中跨边板 预应力钢材伸长量：钢绞线束N1的值：左1=0.030627、右1=0.030627钢绞线束N2的值：左2=0.030627、右2=0.030627将钢绞线束按直线段、圆曲线段、直线段分为三段：直线段：N1：P1=1357.8140=190092（N），X1=45+323.4=323.4 X2=45+323.4=323.4左Pp1= P1-e-（kx+）/（kx+）=1900921-e-（0.00153.234+0.250）/0.00153.234+0.250 =189631.68（N）右Pp1= P1-e-（kx+）/（kx+）=1900921-e-（0.00153.234+0.250）/0.00153.234+0.250 =189631.68N）左L1 =189631.68323.4/1.95105140=1.3334cm右L1=189631.68323.4/1.95105140=1.3334cm圆曲线段：P2=189631.682-190092=189171.35(N)P2=189631.682-190092=189171.35(N)左Pp2= P1-e-（kx+）/（kx+）=189171.351-e-（0.00151.925+0.250.030627）/0.00151.925+0.250.030627 =189093.32（N）右Pp2= P1-e-（kx+）/（kx+）=189171.351-e-（0.00151.925+0.250.030627）/0.00151.925+0.250.030627 =189093.32（N）左L2 =189093.32192.5/1.95105140=1.322cm右L2=189093.32192.5/1.95105140=1.322cm直线段：P3=189093.322-189171.35=189015.30(N)P3=189093.322-189171.35=189015.30(N)左Pp3= P1-e-（kx+）/（kx+）=189015.301-e-（0.00153.027+0.250）/0.00153.027+0.250 =188586.83（N）右Pp3= P1-e-（kx+）/（kx+）=189015.301-e-（0.00153.027+0.250）/0.00153.027+0.250=188586.83（N）左L3 =188586.83302.700/1.95105140=2.091cm右L3=188586.83302.700/1.95105140=2.091cm 左L=5.671cm 右L=5.671cm全板L=11.34216m 中跨边板 预应力钢材伸长量：钢绞线束N1的值：左1=0.018633、右1=0.018633钢绞线束N2的值：左2=0.018633、右2=0.018633将钢绞线束按直线段、圆曲线段、直线段分为三段：直线段：N2：P1=1357.8140=190092（N），X1=45+214.9=259.9 X1=45+214.9=259.9左Pp1= P1-e-（kx+）/（kx+）=1900921-e-（0.00152.599+0.250）/0.00152.599+0.250 =189721.94（N）右Pp1= P1-e-（kx+）/（kx+）=1900921-e-（0.00152.599+0.250）/0.00152.599+0.250 =189721.94（N）左L1 =189721.94259.9/1.95105140=1.8062cm右L1=189721.94259.9/1.95105140=1.8062cm圆曲线段：P2=189721.942-190092=189351.89(N)P2=189721.942-190092=189351.89(N)左Pp2= P1-e-（kx+）/（kx+）=189351.891-e-（0.00151.171+0.250）/0.00151.171+0.250=189483.61（N）右Pp2= P1-e-（kx+）/（kx+）=189351.891-e-（0.00151.171+0.250）/0.00151.171+0.250 =189483.61（N）左L2 =189483.61117.1/1.95105140=0.8128cm右L2=189483.61117.1/1.95105140=0.8128cm直线段：P3=189483.612-189351.89=189615.32(N)P3=189483.612-189351.89=189615.32(N)左Pp3=189615.321-e-（0.00154.4145+0.250）/0.00154.4145+0.250 =188988.91（N）右Pp3=189615.321-e-（0.00154.4145+0.250）/0.00154.4145+0.250 =188988.91（N）左L3 =188988.91441.45/1.95105140=3.056cm右L3=188988.91441.45/1.95105140=3.056cm 左L =5.675cm 右L =5.675cm，全板L=11.35016m 中跨中板 预应力钢材伸长量：钢绞线束N1的值：左1=0.029783、右1=0.029783钢绞线束N2的值：左1=0.029783、右1=0.029783将钢绞线束按直线段、圆曲线段、直线段分为三段：直线段：N1：P1=1357.8140=190092（N），X1=45+281=326X1=45+281=326左Pp1=1900921-e-（0.00153.26+0.250）/0.00153.26+0.250 =189627.98（N）右Pp1=1900921-e-（0.00153.26+0.250）/0.00153.26+0.250 =189627.98（N）左L1 =189627.98326/1.95105140=2.2644cm右L1=189627.98326/1.95105140=2.2644cm圆曲线段：P2=189627.982-190092=189163.96(N)P2=189627.982-190092=189163.96(N)左Pp2=189163.961-e-（0.00151.871+0.250.029783）/0.00151.871+0.250.029783 =189120.89（N）右Pp2=189163.961-e-（0.00151.871+0.250.029783）/0.00151.871+0.250.029783=189120.89（N）左L2 =189120.89187.1/1.95105140=1.2961cm右L2=189120.89187.1/1.95105140=1.2961cm直线段：P3=189120.892-189163.96=189077.81(N)P3=189120.892-189163.96=189077.81(N)左Pp3=189077.811-e-（0.00153.0635+0.250）/0.00153.0635+0.250 =188644.04（N）右Pp3=189077.811-e-（0.00153.0635+0.250）/0.00153.0635+0.250 =188644.04（N）左L3 =188644.04306.350/1.95105140=2.1169cm右L3=188644.04306.350/1.95105140=2.1169cm 左L=5.677cm 右L=5.677cm16m 中跨中板 预应力钢材伸长量：钢绞线束N1的值：左1=0.011316、右1=0.011316钢绞线束N2的值：左2=0.011316、右2=0.011316将钢绞线束按直线段、圆曲线段、直线段分为三段：直线段：N2：P1=1357.8140=190092（N），X1=45+232.9=277.9 X2=45+232.9=277.9左Pp1=1900921-e-（0.00152.779+0.250）/0.00152.779+0.250 =189696.35（N）右Pp1=1900921-e-（0.00152.779+0.250）/0.00152.779+0.250 =189696.35（N）左L1 =189696.35277.9/1.95105140=1.931cm右L1=189696.35277.9/1.95105140=1.931cm圆曲线段：P2=189696.352-190092=189300.7(N)P2=189696.352-190092=189300.7（N)左Pp2=189300.71-e-（0.00151.171+0.250）/0.00151.171+0.250=189708.86（N）右Pp2=189300.71-e-（0.00151.171+0.250）/0.00151.171+0.250 =189708.86（N）左L2 =189708.8680.5/1.95105140=0.5594cm右L2=189708.8680.5/1.95105140=0.5594cm直线段：P3=189708.862-189300.7=188537.62（N)P3=189708.862-189300.7=188537.62(N)左Pp3=188537.621-e-（0.00154.597+0.250）/0.00154.597+0.250 =187889.08（N）右Pp3=188537.621-e-（0.00154.597+0.250）/0.00154.597+0.250 =187889.08（N）左L3 =187889.08459.7/1.95105140=3.1638cm右L3=187889.08459.7/1.95105140=3.1638cm 左L =5.652cm 右L =5.652cm 全板L=11.304cm 控制应力达到10%时，油表3036#、30248#读数： x=190092N=190.092KN0.1=19.0092 y1=0.0343x-0.1=0.034319.0092-0.1=0.552 y2=0.0352x-0.4=0.035219.0092-0.4=0.252 控制应力达到20%时，油表3036#、30248#读数： x=190092N=190.092KN0.2=38.0184 y1=0.0343x-0.1=0.034338.0184-0.1=1.204 y2=0.0352x-0.4=0.035238.0184-0.4=0.938 控制应力达到40%时，油表3036#、30248#读数： x=190092N=190.092KN0.4=76.1568 y1=0.0343x-0.1=0.034376.1568-0.1=2.512 y2=0.0352x-0.4=0.035276.1568-0.4=2.281 控制应力达到60%时，油表3036#、30248#读数： x=190092N=190.092KN0.6=38.0184 y1=0.0343x-0.1=0.034338.0184-0.1=3.812 y2=0.0352x-0.4=0.035238.0184-0.4=3.615 控制应力达到80%时，油表3036#、30248#读数： x=190092N=190.092KN0.8=152.0736 y1=0.0343x-0.1=0.0343152.0736-0.1=5.116 y2=0.0352x-0.4=0.0352152.0736-0.4=4.953 控制应力达到100%时，油表3036#、30248#读数： x=190092N=190.092KN1=190.092 y1=0.0343x-0.1=0.0343190.092-0.1=6.42 y2=0.0352x-0.4=0.0352190.092-0.4=6.291控制应力达到10%时，油表3036#、30248#读数：(3根) x=190092N=190.092KN0.1=19.0092 y1=0.0343x-0.1=0.034319.00923-0.1=1.856 y2=0.0352x-0.4=0.035219.00923-0.4=1.556 控制应力达到20%时，油表3036#、30248#读数： x=190092N=190.092KN0.2=38.0184 y1=0.0343x-0.1=0.034338.01843-0.1=3.812 y2=0.0352x-0.4=0.035238.01843-0.4=3.614 控制应力达到40%时，油表3036#、30248#读数： x=190092N=190.092KN0.4=76.1568 y1=0.0343x-0.1=0.034376.15683-0.1=7.736 y2=0.0352x-0.4=0.035276.15683-0.4=7.643 控制应力达到60%时，油表3036#、30248#读数： x=190092N=190.092KN0.6=38.0184 y1=0.0343x-0.1=0.034338.01843-0.1=11.636 y2=0.0352x-0.4=0.035238.01843-0.4=11.645 控制应力达到80%时，油表3036#、30248#读数： x=190092N=190.092KN0.8=152.0736 y1=0.0343x-0.1=0.0343152.07363-0.1=15.548 y2=0.0352x-0.4=0.0352152.07363-0.4=15.659 控制应力达到100%时，油表3036#、30248#读数： x=190092N=190.092KN1=190.092 y