30m箱梁预应力张拉计算书

30m箱梁预应力张拉计算书30m箱梁预应力张拉计算书30m箱梁预应力张拉计算书米箱梁预应力张拉计算书一、张拉设计2预应力钢束为φ高强度低废弛钢绞线，横载面积140mm，有单束5根、4根两种形式，锚具型号分别为OVM15-5型、OVM15-4、锚下控制应力N1～N3为1340Mpa，N4为1320Mpa，T1为1395Mpa，T2为1340MPa。二、张拉设备采用1、张拉设备能力计算（以单束5根为例，边跨N1～N3）P=σ控×A×n=1340

6×10

2-6N/m×140×10

2m×5=938KN=为了抵消夹片锚固回缩时的预应力损失（按一端回缩6mm计），超张拉3%σ控：Pmax=P×103%=2、张拉设备行程（以最长钢束拉力无磨阻损失为例）L=σ控×L/Ep=1340×106××103/×1011)=张拉时为两侧张拉,单侧伸长量为2=所采用QYC150型穿心式液压千斤顶,其张拉力T=150T，行程ls=400mm。、压力表采用2150T千斤顶活塞面积为290cm。由式Pn=P/An（式中Pn—计算压力表读数；P—张拉力；An—张拉设备工作液压面积），得：P42n=×10N/29000mm=mm

2所采用最大读数为60MPa的压力表。三、分级张拉段划分为了便于伸长量测量和控制两端张拉的同步进行，把张拉段分为10%σ控、20%σ控、100%σ控、103%σ控四个阶段，各阶段张拉力分别为：张拉力4φ张拉阶段5φs10%σ控（KN）20%σ控（KN）100%σ控（KN）938103%σ控（KN）四、应力张拉操作程序初张拉至δk（正确测量伸长量），持荷3分钟，尔后张拉至δk，持荷3分钟，再张拉直接到位δk，持荷3分钟，进油张拉到δk锚固。不再采用超张拉工艺。五、理论伸长量计算依照公路桥规12.8.3款和附录G-8规定，对预应力钢铰线理论伸长量进行计算：1、计算公式：L=PpL/（ApEp）（公式1）Pp={P×[1-e-（kx+μθ）]}/（kx+μθ）（公式2）式中，L—理论伸长量，cm；Pp—预应力钢铰线平均张拉力，N；L—预应力钢铰线长度，cm；252E—弹性模量，N/mm，取E=×10N/mm；ppA—一束预应力钢铰线总面积，单根截面2140mm；pP—预应力钢铰线张拉端张拉力，N；x—从张拉端至计算截面的孔道长度，m；θ—从张拉端至计算截面曲线轨道部分切线的夹角和，rad；k—管道偏差系数，取k=；μ—管道磨阻系数，取μ=；锚具变形、钢筋回缩取6mm（一端）；2、分段方法：依照图所示分AB、BC、CD、DE共4段进行计算，不考虑工作长度。3、计算方法：计算每一段的起点和终点力。每一段的终点力就是下一段的起点力，比方凑近张拉端第一段BC的终点C点力即为第二段CD的起点力，每段的终点力与起点力的关系以下式：Pz=Pq×e-(KX+μθ)（公式3）Pz—分段终点力（N）Pq—分段的起点力（N）各段的起终点力可以依照公式3从张拉端开始进行渐渐的计算。依照每一段起点力Pq代入公式2求出每一段平均张拉力Pp。(3)依照Pp代入公式1计算出每一段的伸长值L，相加后得出全长钢绞线伸长量。4、计算数据：单根钢绞线千斤顶张拉力N1～N3P=k×Ap=1340×140=187600(N)，N4P=k×Ap=1320×140=184800(N)，T1P=k×Ap=1395×140=195300(N)，T2P=k×Ap=1340×140=187600(N)，依照以上各计算方法编程求得各钢束伸长量数据以下：Ⅰ.边跨引申量计算表N1钢束计算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L11582.500.002370.99763187600187155.21187377.5210.9L2654.50.02620.007530.99250187155.21185751.83186452.644.5L32567.600.003850.99616185751.83185037.80185394.5917.4L47330.40.12220.041540.95931185037.80177509.00181247.3448.7L5266000.003990.99602177509.00176802.15177155.3417.3合计14795197.4N2钢束计算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L11582.500.002370.99763187600187155.21187377.5210.9L2654.50.02620.007530.99250187155.21185751.83186452.644.5L31477.300.002220.99779185751.83185340.66185546.1710.0L46108.70.12220.039710.96107185340.66178125.67181709.2940.7L5498200.007470.99255178125.67176799.49177461.7532.4合计14805196.8N3钢束计算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L11582.500.002370.99763187600187155.21187377.5210.9L2654.50.02620.007530.99250187155.21185751.83186452.644.5L3380.0800.000570.99943185751.83185645.96185698.892.6L44886.90.12220.037870.96283185645.96178746.36182174.3832.6L5730600.010960.98910178746.36176798.17177770.4847.6合计14810196.2N4钢束计算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L1101600.001520.99848184800.00184518.59184659.266.9L2733.040.02440.007210.99282184518.59183193.32183855.164.9L31300100.019500.98069183193.32179655.39181418.6186.4合计14750196.4T1钢束计算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L1100300.001500.99850195300.00195006.39195153.167.2L2399.330.04990.013080.98701195006.39192472.68193736.782.8L3309900.004650.99536192472.68191580.05192026.0221.8合计450163.6T2钢束计算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L1100300.001500.99850187600.00187317.97187458.956.9L2399.330.04990.013080.98701187317.97184884.15186098.412.7L3659900.009900.99015184884.15183063.11183972.1344.5合计8001108.2边跨钢束张拉力与油表读数对应表1#千斤顶2#千斤顶编号拉力级张拉力表号：表号：表号：表号：（KN）油表读数伸长量油表读数伸长量油表读数伸长量油表读数伸长量（MPa)(mm)（MPa)(mm)（MPa)(mm)（MPa)(mm)初始张拉10%93.85.17203.79203.94203.3320N1持荷3min20%187.69.50408.16408.22407.7340终张100%93844.0919843.1319842.4419842.92198初始张拉10%93.85.17203.79203.94203.3320N2持荷3min20%187.69.50398.16398.22397.7339终张100%93844.0919743.1319742.4419742.92197初始张拉10%93.85.17203.79203.94203.3320N3持荷3min20%187.69.50408.16408.22407.7340终张100%93844.0919843.1319842.4419842.92198初始张拉10%73.924.25202.86203.04202.4020N4持荷3min20%147.87.66396.31396.41395.8639终张100%739.234.9219533.8719533.3719533.60195初始张拉10%97.655.3563.9764.1263.516T1持荷3min20%195.39.85138.52138.57138.0913终张100%976.545.866444.926444.206444.7364初始张拉10%93.85.17113.79113.94113.3311T2持荷3min20%187.69.50228.16228.22227.7322终张100%93844.0910843.1310842.4410842.92108Ⅱ.中跨引申量计算表N1钢束计算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L11582.500.002370.99763187600187155.21187377.5210.9L2654.50.02620.007530.99250187155.21185751.83186452.644.5L34608.600.006910.99311185751.83184472.17185111.2731.2L47330.40.12220.041540.95931184472.17176966.38180693.3048.5L556900.000850.99915176966.38176815.41176890.883.7合计14745197.6N2钢束计算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L11582.500.002370.99763187600187155.21187377.5210.9L2654.50.02620.007530.99250187155.21185751.83186452.644.5L33827.300.005740.99428185751.83184688.48185219.6526.0L46108.70.12220.039710.96107184688.48177498.88181069.8940.5L5260200.003900.99610177498.88176807.45177152.9416.9合计14775197.4N3钢束计算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L11582.500.002370.99763187600187155.21187377.5210.9L2654.50.02620.007530.99250187155.21185751.83186452.644.5L33041.100.004560.99545185751.83184906.43185328.8120.6L44886.90.12220.037870.96283184906.43178034.31181448.6832.5L5463500.006950.99307178034.31176800.82177416.8530.1合计14800197.2N4钢束计算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L1107100.001610.99839184800.00184503.37184651.647.2L2733.040.02440.007210.99282184503.37183178.21183839.994.9L31290100.019350.98083183178.21179667.52181417.2085.7合计14705195.8T1钢束计算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L1100300.001500.99850195300.00195006.39195153.167.2L2399.330.04990.013080.98701195006.39192472.68193736.782.8L3309900.004650.99536192472.68191580.05192026.0221.8合计450163.6T2钢束计算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L1100300.001500.99850187600.00187317.97187458.956.9L2399.330.04990.013080.98701187317.97184884.15186098.412.7L3659900.009900.99015184884.15183063.11183972.1344.5合计8001108.2中跨钢束张拉力与油表读数对应表1#千斤顶2#千斤顶编号拉力级张拉力表号：表号：表号：表号：（KN）油表读数伸长量油表读数伸长量油表读数伸长量油表读数伸长量（MPa)(mm)（MPa)(mm)（MPa)(mm)（MPa)(mm)初始张拉10%75.044.31202.92203.09202.4520N1持荷3min20%150.1