20箱梁预应力张拉报告
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南水渠中桥
20m预应力砼箱梁预应力钢绞线张拉理论伸长量复核
一、张拉力的计算(依据图纸资料)
控制应力δk=1395.0Mpa,初张拉应力0.1δk=139.5Mpa,单根270级(1860Mpa)Φs15.24mm钢绞线面积A=140mm2,张拉力:N k=N·A·δk
1、正弯矩区:中跨N1与边跨N1、N
2、N
3、N4张拉钢绞
线为一束4根组成;中跨N2、N3张拉钢绞线均为一束3根组成。
2、中跨N1与边跨N1、N2、N3张拉力:
控制张拉应力δk =N·A·δk=4·140·1395=781200N=781.2KN 初张拉应力0.1δk=0.1·781.2=78.12 KN
中跨N2、N3张拉力:
控制张拉应力δk =N·A·δk=3·140·1395=585900N=585.9KN 初张拉应力0.1δk=0.1·585.9=58.59KN
2、负弯矩区:T1张拉钢绞线为一束5根组成;T2、T3张拉钢绞线为一束4根组成。
T1张拉力:
控制张拉应力δk =N·A·δk=5·140·1395=976500N=976.5KN 初张拉应力0.1δk=0.1·976.5=97.65KN
T2、T3张拉力:
控制张拉应力δk =N·A·δk=4·140·1395=781200N=781.2KN 初张拉应力0.1δk=0.1·781.2=78.12KN
设计张拉力汇总
二、伸长量计算
1、平均张拉力计算
依据规公式Pp=(P×(1-e-(kx+μθ)))/(kx+μθ)
查《规范》附表G-8得K=0.0015,μ=0.25
A、边跨:
N1#:取x=9.814 m θ=5。30’=0.095993rad p=781200
Pp=(781200×(1-e-(0.0015×9.814+0.25×0.95993)))/(0.0015×9.814+0.25×0.095993)=766277N
N2#:取x=9.819m θ=5。30’=0.095993rad p=781200
Pp=(781200×(1-e-(0.0015×9.819+0.25×0.095993)))/(0.0015×9.819+0.25×0.095993)=766267N
N3#:取x=9.751m θ=1。24’=0.024439rad p=781200
Pp=(781200×(1-e-(0.0015×9.751+0.25×0.024439)))/(0.0015×9.751+0.25×0.095993)=773156N
B、中跨:
N1#:取x=9.801m θ=5。30’=0.095993rad p=781200
Pp=(781200×(1-e-(0.0015×9.801+0.25×0.09553)))/(0.0015×9.801+0.25×0.095993)=766277N
N2#:取x=9.818m θ=5。30’=0.024435rad p=585900
Pp=(585900×(1-e-(0.0015×9.818+0.25×0.024435)))/(0.0015×9.818+0.25×0.024435)=579838N
N3#:取x=9.701m θ=1。24’=0.087267rad p=585900
Pp=(585900×(1-e-(0.0015×9.701+0.25×0.087267)))/(0.0015×9.701+0.25×0.087267)=579889N
C负弯矩:
T1 #:取x=3.0m θ=0。=0rad p=976500
Pp=(976500×(1-e-(0.0015×3.0+0.25×0)))/(0.0015×3.0+0.25×0)=974306N
T2 #:取x=3.0m θ=0。=0rad p=781200
Pp=(781200×(1-e-(0.0015×6.65+0.25×0)))/(0.0015×3.0+0.25×0)=779445N
T2 #:取x=6.50m θ=0。=0rad p=781200
Pp=(781200×(1-e-(0.0015×6.50+0.25×0)))/(0.0015×6.50+0.25×0)=777404N
2、伸长量计算:
依据规范公式△L=(Pp×L)/(Ap×Ep)
A边跨:
一端伸长量
已知:Ep=195×103Mpa
N1# L= 10464 Pp=766270N Ap=140×4mm2△L=(766270×10464)/(560×195000)=73.43mm=7.343cm N2# L= 10496 Pp=766267N Ap=140×4mm2△L=(766267×10496)/(560×195000)=73.65mm=7.365cm N3# L=10401 Pp=773156N Ap=140×4mm2△L=(773156×10401)/(560×195000)=73.64mm=7.364cm 总伸长量:
N1# 2△L=2×7.343=14.69cm
N2# 2△L=2×7.365=14.73cm
N3# 2△L=2×7.364=14.73cm
B中跨:
一端伸长量
已知:Ep=195×103Mpa
N1# L=10451 Pp=766277N Ap=140×4mm2△L=(766277×10451)/(560×195000)=73.34mm=7.33cm N2# L=10468 Pp=579838N Ap=140×3mm2△L=(579838×10468)/(420×195000)=74.11mm=7.41cm N3# L=10351 Pp=579889N Ap=140×3mm2△L=(579889×10351)/(420×195000)=73.29mm=7.33cm 总伸长量:
N1# 2△L=2×7.33=14.66cm
N2# 2△L=2×7.41=14.82cm
N3# 2△L=2×7.33=14.66cm
C负弯矩:
一端伸长量
已知:Ep=195×103Mpa
T1# L=3300 Pp=974306N Ap=140×5mm2
△L=(974306×3300)/(700×195000)=23.55mm=2.355cm T2# L= 3300 Pp=779445N Ap=140×4mm2