30米箱梁预应力计算.doc

30米预制箱梁钢束伸长量计算书一. 30米预制箱梁中跨钢束N1束1、按图S5-3-70将半个曲线预应力筋分成三段计算： AB段 =0rad L =3.534m BC段 =0.131rad L =7.854m CD段 =0rad L =4.022m2、由图纸及桥规JTJ041-2000规范可知：P=0.75Ryb Ay1.025=0.75186014031.025=600.55KNk=0.0015 =0.23 Ay=140mm2 Eg=2.0105MPa 3、计算各段终点力：PA=600.55kNPB=PAe-（kx）=600.55e-(0.00153.534)=600.55e-0.0053=597.38kNPC=PBe-（kx）=597.38e-(0.00157.8540.230.131)=597.38e-0.0419=572.87kNPD=PCe-（kx）=572.87e-(0.00154.022)=572.87e-0.0060=569.44kN 4、计算各段伸长量： AB段：PP=P1-e-（kx）/ (kx)=(600.55-597.38)/0.0053=598.11kN L= PPL/APEP=598.113.534106/(2105420)=25.2mm BC段：PP=P1-e-（kx）/ (kx)=(597.38-572.87)/0.0419=584.96kN L= PPL/APEP=584.967.854106/(2105420)=54.7mm CD段：PP=P1-e-（kx）/ (kx)=(572.87-569.44)/0.0060=571.67kN L= PPL/APEP=571.674.022106/(2105420)=27.4mm 5、两段张拉的总伸长值： L=2（25.2+54.7+27.4）=214.6N2束 1、按图S5-3-70将半个曲线预应力筋分成三段计算： AB段 =0rad L =2.580m BC段 =0.131rad L =6.545m CD段 =0rad L =6.315m2、由图纸及桥规JTJ041-2000规范可知：P=0.75Ryb Ay1.025=0.75186014041.025=800.73KNk=0.0015 =0.23 Ay=140mm2 Eg=2.0105MPa 3、计算各段终点力：PA=800.73kNPB=PAe-（kx）=800.73e-(0.00152.580)=800.73e-0.0039=797.61kNPC=PBe-（kx）=797.61e-(0.00156.5450.230.131)=797.61e-0.0399=766.42kNPD=PCe-（kx）=766.42e-(0.00156.315)=766.42e-0.0095=759.17kN 4、计算各段伸长量： AB段：PP=P1-e-（kx）/ (kx)=(800.73-797.61)/0.0039=800kN L= PPL/APEP=8002.58106/(2105560)=18.4mm BC段：PP=P1-e-（kx）/ (kx)=(797.61-766.42)/0.0399=781.7kN L= PPL/APEP=781.76.545106/(2105560)=45.7mm CD段：PP=P1-e-（kx）/ (kx)=(766.42-759.17)/0.0095=763.16kN L= PPL/APEP=763.166.315106/(2105420)=27.4mm 5、两段张拉的总伸长值： L=2（25.2+54.7+27.4）=214.6二. 30米预制箱梁边跨非连续端钢束1. 按图S5-3-71将半个曲线预应力筋分成四段，分段计算：=7.5=0.131rad =1.4=0.024rad2. 由图纸及桥规JTJ041-2000知：P=0.75Ryb Ay=0.751860140=195300N=195.3KNk=0.0015 =0.225 Ay=140mm2 Eg=195105MPa3. 将各段数据列入表1-1得：（a）.N1束4j15.24的钢绞线束，张拉控制力P=4195.3=781.2KN线段L（m）（rad）（rad）(radkx+e-(kx+)终点力（KN）L备注AB0.6500.00100.9990780.41884.65工作长度BC2.83800.00430.9958777.141019.81CD7.8600.1310.04130.9596745.744554.72=7.5,R=6000cmDE4.10700.00620.9939741.195527.60两端张拉的总伸长值L=106.782=213.56mm（b）.N2束5j15.24的钢绞线束，张拉控制力P=5195.3=976.5KN线段L（m）（rad）（rad）(radkx+e-(kx+)终点力（KN）L备注AB0.6500.00100.9990975.52354.65工作长度BC1.90700.00290.9971972.694513.63CD6.5500.1310.03930.9615935.245845.73=7.5,R=5000cmDE6.35800.00950.9905926.361043.56两端张拉的总伸长值L=107.572=215.14mm（c）.N3束5j15.24的钢绞线束，张拉控制力P=5195.3=976.5KN线段L（m）（rad）（rad）(radkx+e-(kx+)终点力（KN）L备注AB0.6500.00100.9990975.52354.65工作长度BC1.30400.00200.9981973.67008.85CD4.5850.1310.03640.9643938.910032.08=7.5,R=3500cmDE8.93600.01340.9867926.422561.01两端张拉的总伸长值L=106.592=213.18mm（d）.N4束4j15.24的钢绞线束，张拉控制力P=4195.3=781.2KN线段L（m）（rad）（rad）(radkx+e-(kx+)终点力（KN）L备注AB0.6500.00100.999