30米后张法箱梁钢绞线张拉计算书(中跨梁).doc

30米后张法箱梁钢绞线张拉计算书
（中跨梁）

钢束编号
每根长度（cm）
钢绞线直径（cm）
钢绞线根数
张拉吨位（KN）
理论　伸长值（cm）
10%
20%
100%
103%

N1

3086
15.24
4

78.12

156.24
781.2
804.6

21.4

N2

3089

21.4
N3
3092
21.4
N4
3070
21.4
压力表读数
1936表
2.2
4.5
22.2
22.8
千斤顶号：1#
1957表
2.2
4.4
21.8
22.4
千斤顶号：2#
张拉顺序：N1 N3 N2 N4

后张梁钢绞线伸长值计算
钢绞线弹性模量：Ey=1.97×105Mpa Ay=140mm2
Ryb=0.75×1860=1395 Mpa k=0.0015 μ=0.20
千斤顶工作长度一端按50cm考虑

正弯矩钢绞线（中跨梁）
1、N1 束各段长度
箱梁中心线
F
E
D
C
B
A

o

㈠、AB段(锚固段)为直线段，无摩阻力，x=0.5m
Pp=P=1395×140=195300N
㈡、BC段为直线段，有摩阻力，x＝1.506m，kx=0.002259
PP===195079.6 N
㈢、CD段为曲线段，有摩阻力，θ＝0.0314
x＝=0.785m
kx=0.0011775
kx+uθ=0.0074575
PP= ==194354.00 N
㈣、DE段为直线段x=30.86/2-0.65-1.506-0.785-3.925-0.885=7.679m
kx=0.0115125
PP = ==193239.5 N
㈤、EF段为曲线段 X==3.925m , θ＝0.08722
kx+uθ=0.023332
PP = ==191002.6 N
㈥、FO段为直线段，，x＝0.885m，Kx＝0.0013275 N，
PP ===190875.9 N
计算理论伸长值：

△ LAB=PpL/ApEp=195300×0.5/(140×1.97×105)=0.00354m=0.35cm
△ LBC=PpL/ApEp=195079.6×1.506/(140×1.97×105)
=0.01065m=1.07cm
△ LCD=PpL/ApEp=194354×0.785/(140×1.97×105)
=0.00553m=0.55cm
△ LDE=PpL/ApEp=193239.5×7.679/(140×1.97×105)
=0.0538m=5.38cm
△ LEF=PpL/ApEp=191002.6×3.925/(140×1.97×105)
=0.02718m=2.72cm
△ LFO=PpL/ApEp=190875.9×0.885/(140×1.97×105)
=0.00612m=0.61cm
△L总＝2×（0.35+1.07+0.55+5.38+2.72+0.61）
＝21.4㎝
2、N2 束各段长度
箱梁中心线
F
E
D
C
B
A

o

㈠、AB段(锚固段)为直线段，无摩阻力，x=0.5m
Pp=P=1395×140=195300N
㈡、BC段为直线段，有摩阻力，x＝1.506m，kx=0.002259
PP===195079.6 N
㈢、CD段为曲线段，有摩阻力，θ＝0.0314
x＝=0.785m
kx=0.0011775
kx+uθ=0.0074575
PP= ==194354.00 N
㈣、DE段为直线段x=30.89/2-0.65-1.506-0.785-3.925-2.507=6.072m
kx=0.009108
PP = ==193471.6 N
㈤、EF段为曲线段 X==3.925m , θ＝0.08722

kx+uθ=0.023332
PP = ==191232 N
㈥FO段为直线段，，x＝2.507m，Kx＝0.0037605 N，
PP ===190872.9N
计算理论伸长值：
△ LAB=PpL/ApEp=195300×0.5/(140×1.97×105)=0.00354m=0.35cm
△ LBC=PpL/ApEp=195079.6×1.506/(140×1.97×105)
=0.01065m=1.07cm
△ LCD=PpL/ApEp=194354×0.785/(140×1.97×105)
=0.00553m=0.55cm
△ LDE=PpL/ApEp=193471.6×6.072/(140×1.97×105)
=0.0426m=4.26cm
△ LEF=PpL/ApEp=191232×3.925/(140×1.97×105)
=0.0272m=2.72cm
△ LFO=PpL/ApEp=190872.9×2.507/(140×1.97×105)
=0.01735m=1.74cm
△L总＝2×（0.35+1.07+0.55+4.26+2.72+1.74）
＝21.4㎝

3、N3 束各段长度
箱梁中心线
F
E
D
C
B
A

o

㈠、AB段(锚固段)为直线段，无摩阻力，x=0.5m
Pp=P=1395×140=195300N
㈡BC段为直线段，有摩阻力，x＝1.506m，kx=0.002259
PP===195079.6 N
㈢、CD段为曲线段，有摩阻力，θ＝0.0314
x＝=0.785m
kx=0.0011775

kx+uθ=0.0074575
PP= ==194354.00 N
㈣、DE段为直线段x=30.92/2-0.65-1.506-0.785-3.925-4.129=4.465m
kx=0.0066975
PP = ==193704.6N
㈤、EF段为曲线段 X==3.925m , θ＝0.08722
kx+uθ=0.023332
PP = ==191462.3 N
㈥、FO段为直线段，，x＝4.129m，Kx＝0.0061935 N，
PP ===190870.6N
计算理论伸长值：
△ LAB=PpL/ApEp=195300×0.5/(140×1.97×105)=0.00354m=0.35cm
△ LBC=PpL/ApEp=195079.6×1.506/(140×1.97×105)
=0.01065m=1.07cm
△ LCD=PpL/ApEp=194354×0.785/(140×1.97×105)
=0.00553m=0.55cm
△ LDE=PpL/ApEp=193704.6×4.465/(140×1.97×105)
=0.03136m=3.14cm
△ LEF=PpL/ApEp=191462.3×3.925/(140×1.97×105)
=0.0272m=2.72cm
△ LFO=PpL/ApEp=190870.6×4.129/(140×1.97×105)
=0.028576m=2.86cm
△L总＝2×（0.35+1.07+0.55+3.14+2.72+2.86）
＝21.4㎝

4、N4 束各段长度
A

O
箱梁中心线
D
C
B

㈠、AB段(锚固段)为直线段，无摩阻力，x=0.5m
Pp=P=1395×140=195300N

㈡、BC段为直线段，无摩阻力，x=30.7/2-0.65-0.73-12.901
＝1.069 m
kx=0.0016035
PP ==＝195143.5N
㈢、CD段为曲线段，有摩阻力，x＝=0.73m，
kx+uθ=0.002651
PP===194885.1 N
㈣、DO段为直线段，有摩阻力，
x＝12.901m,
kx=0.019352
PP ===193011.5N
计算理论伸长值：
△ LAB=PpL/ApEp=195300×0.5/(140×1.97×105)=0.00354m=0.4cm
△ LBC=PpL/ApEp=195143.5×1.069/(140×1.97×105)
=0.007564m=0.8cm
△ LCD=PpL/ApEp=194885.1×0.73/(140×1.97×105)
=0.00515m=0.5cm
△ LDO=PpL/ApEp=193011.5×12.901/(140×1.97×105)＝0.09m=9.0㎝

△L总＝(0.4+0.8+0.5+9.0)×2=21.4㎝