起止点应力(Mpa)钢束编号分段Lx(m)θ(rad)kμkLx+μθe-(kLx+μθ)σq△L(mm)计算值设计值σpσz梁内伸长值△L1顶内伸长值△L2张拉控制伸长值△L3△L±6%ab1.5630.00150.2500.00230.997713951393.371391.7311.2177.58N1bc0.8750.01750.00150.2500.00570.99431391.731387.781383.846.23.3188.91164.0159.0cd10.4730.00150.2500.01570.98441383.841373.031362.2773.7200.25ab1.5770.00150.2500.00240.997613951393.351391.7011.3175.40N2bc5.3910.10780.00150.2500.03500.96561391.701367.601343.7837.83.3186.60162.0158.0cd5.9620.00150.2500.00890.99111343.781337.791331.8240.9197.79ab3.3160.00150.2500.00500.995013951391.541388.0823.7176.37N3bc6.4370.10730.00150.2500.03650.96421388.081363.071338.3645.03.3187.62162.9158.0cd3.1890.00150.2500.00480.99521338.361335.161331.9721.8198.88ab5.5870.00150.2500.00840.991713951389.171383.3639.8177.32N4bc6.4210.10700.00150.2500.03640.96431383.361358.491333.9344.73.3188.64163.8159.0cd0.9460.00150.2500.00140.99861333.931332.981332.046.5199.96注:1、设计张拉控制应力为0.75 fpk=1395MPa,考虑锚具口摩擦损失3.0%,取张拉控制应力1395/(1-3.0%)=1438.144MPa。
2、钢绞线弹性模量Ep=1.95×105MPa,面积A=140mm2,管道偏差系数k=0.0015,管道摩阻系数μ=0.250。千斤顶顶内钢绞线长度取400mm。3、伸长值计算式:△L=Pp*Lx/(A*Ep) , Pp=P(1-e-(kLx+μθ)) /(kLx+μθ) , Pz=Pq*e-(kLx+μθ)。
4、式中:△L-各分段预应力的理论伸长值(mm), Pp-各分段预应力的平均张拉力(N),Lx-预应力筋的分段长度(m),A-预应力筋的截面面积(mm2),Ep-预应力筋的弹性模量(Mpa), P-预应力筋张拉端的张拉力,将钢绞线分段计算后,为每分段的起点张拉力,即为前段的终点张拉力(N),θ-从张拉端至计算截面曲线孔道部分切线的夹角之和,分段后为每分段中各曲线段的切线夹角和(rad),k-孔道每束局部偏差对摩擦的影响系数(1/m),μ-预应力筋与孔道壁之间的摩阻系数, Pz-分段终点力(N),Pq-分段
计算: 复核: 审核: 日期: ,182.2825.822
179.9625.86
180.9925.884
182.0025.908
1438.14
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