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预应力混凝土梁桥预应力损失及有效预应力计算表1预应力损失计算1.1控制应力本设计预应力钢筋的张拉控制应力σ1.2各项预应力损失及计算原则JTG3362-2018《公路钢筋混凝土及预应力混凝土桥涵设计规范》规定,预应力混凝土构件在正常使用极限状态计算中,采用后张法张拉预应力钢束时应考虑以下五种引起预应力损失的情况:(1)预应力筋与管道壁间摩擦引起的应力损失(σl1(2)锚具变形、钢筋回缩和接缝压缩引起的应力损失(σl2(3)混凝土弹性压缩引起的应力损失(σl4(4)钢筋松弛引起的应力损失(σl5(5)混凝土收缩和徐变引起的应力损失(σl6在预加应力阶段,预应力筋中的有效预应力为:σ在使用阶段,预应力筋中的有效预应力,即永存预应力为:σ2计算结果为了节省篇幅,输出控制截面的损失值,以N1、N2、N3钢束为例,分阶段输出:表8.1:预应力张拉阶段预应力损失单元位置应力(考虑瞬时损失)A(MPa)弹性变形损失B(MPa)比值(A+B)/A徐变/收缩损失(MPa)松弛损失(MPa)应力(考虑所有损失)/应力(考虑瞬时损失)1I1179044.94222233.16021.0019-6285.4044-13329.93490.98531J1187339.36971724.48711.0015-6796.5018-13870.77060.98405I1225254.12943252.33811.0027-11686.7755-16422.52430.97975J1243474.91393336.30701.0027-11876.2839-17695.13730.978910I1270986.01054276.96121.0034-14416.8111-19674.72300.976510J1265589.60844636.64091.0037-15290.2044-19280.71880.976315I1228138.80564785.20341.0039-15029.9947-16622.21550.978115J1216692.49474868.77561.0040-15219.3558-15835.08880.978519I1187615.01534370.63851.0037-18657.4438-13889.01330.976319J1172776.98494172.74041.0036-19358.5172-12928.91400.976023I1124380.03584341.51331.0039-19763.5732-9938.70440.977423J1105344.17024411.00351.0040-19619.2679-8804.29600.978326I1067105.37704579.98191.0043-19391.3106-6642.44980.979926J1065915.67744584.98831.0043-19379.7995-6577.47820.979931I1005604.17552776.55841.0028-13379.5694-3451.52790.986031J989163.89232561.20241.0026-12100.8723-2658.44760.987736I958901.423443.77971.0000-12464.5465-1263.19350.985736J952593.5130595.70161.0006-11659.1345-982.07650.987441I888221.5872904.65211.0010-18235.54140.00000.980541J872912.13671157.92711.0013-19781.77050.00000.978745I841546.59811277.41691.0015-21221.83450.00000.976345J832033.16231151.75381.0014-20909.01570.00000.976349I773718.66571196.31341.0015-21123.49140.00000.974249J763572.69011610.49951.0021-19036.52130.00000.977253I738783.35101924.89321.0026-15503.09310.00000.981653J743675.44731963.55781.0026-15717.24720.00000.9815表8.2:桥面铺装阶段预应力损失单元位置应力(考虑瞬时损失)A(MPa)弹性变形损失B(MPa)比值(A+B)/A徐变/收缩损失(MPa)松弛损失(MPa)应力(考虑所有损失)/应力(考虑瞬时损失)1I1179044.9422-6774.74470.9943-24080.6424-24628.05520.95291J1187339.3697-5251.78410.9956-23710.1063-25627.28970.95405I1225254.1294-8050.01970.9934-35094.0045-30341.84630.94005J1243474.9139-10199.28990.9918-37463.1815-32693.09440.935410I1270986.0105-14793.22250.9884-46327.2506-36350.52750.923310J1265589.6084-16136.94890.9872-49132.9895-35622.57510.920315I1228138.8056-15469.60700.9874-48032.0960-30710.79070.923315J1216692.4947-15405.04160.9873-48309.5240-29256.51520.923619I1187615.0153-13127.66160.9889-52323.3734-25660.99450.923319J1172776.9849-12825.17720.9891-53313.7275-23887.13900.923223I1124380.0358-11757.58690.9895-52941.6087-18362.50240.926123J1105344.1702-10752.01790.9903-51736.9105-16266.59770.928826I1067105.3770-8950.21680.9916-49784.7632-12272.42460.933526J1065915.6774-8990.79950.9916-49811.8140-12152.38470.933431I1005604.1755-16283.74630.9838-45560.4977-6376.95680.932231J989163.8923-15912.20960.9839-42906.4528-4911.68140.935636I958901.42343301.82041.0034-27361.0816-2333.84470.972536J952593.5130-274.48150.9997-28874.2791-1814.46000.967541I888221.5872-2977.21380.9966-43223.16740.00000.948041J872912.136735.29161.0000-43357.94300.00000.950445I841546.59812435.62941.0029-43722.73660.00000.950945J832033.16231932.51991.0023-43607.78230.00000.949949I773718.66571461.39851.0019-44698.74570.00000.944149J763572.6901-179.05570.9998-42274.52010.00000.944453I738783.3510-2733.62950.9963-38101.32790.00000.944753J743675.4473-2623.75260.9965-38403.67390.00000.9448表8.3:收缩徐变阶段预应力损失单元位置应力(考虑瞬时损失)A(MPa)弹性变形损失B(MPa)比值(A+B)/A徐变/收缩损失(MPa)松弛损失(MPa)应力(考虑所有损失)/应力(考虑瞬时损失)1I1179044.9422-5928.41510.9950-77289.7131-24628.05520.90851J1187339.3697-4458.41630.9962-76684.6643-25627.28970.91015I1225254.1294-6227.39570.9949-97410.4172-30341.84630.89075J1243474.9139-7998.73280.9936-101676.1574-32693.09440.885510I1270986.0105-11389.46780.9910-117622.2439-36350.52750.869910J1265589.6084-12298.68790.9903-122589.2364-35622.57510.865315I1228138.8056-11638.22300.9905-120432.6484-30710.79070.867515J1216692.4947-11545.39330.9905-120985.7350-29256.51520.867019I1187615.0153-8870.23790.9925-128069.1363-25660.99450.863119J1172776.9849-8529.04780.9927-130042.1673-23887.13900.861523I1124380.0358-7887.53440.9930-129931.4752-18362.50240.861123J1105344.1702-7147.28920.9935-127845.3107-16266.59770.863226I1067105.3770-5499.67040.9948-123993.1859-12272.42460.867126J1065915.6774-5510.16520.9948-124003.1069-12152.38470.867131I1005604.1755-12007.04860.9881-115489.7507-6376.95680.866931J989163.8923-11815.07890.9881-110522.3144-4911.68140.871436I958901.42346032.14291.0063-81619.8998-2333.84470.918736J952593.51302518.78281.0026-84612.0962-1814.46000.911941I888221.58721531.69331.0017-110570.77430.00000.877241J872912.13674127.18911.0047-111058.97510.00000.877545I841546.59816007.07771.0071-112340.72880.00000.873645J832033.1
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