主线桥盖梁预应力张拉计算书secret.doc

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1、主线桥盖梁预应力张拉计算书一、计算公式及参数：1、预应力平均张拉力计算公式及参数：式中：Pp预应力筋平均张拉力（N）P预应力筋张拉端的张拉力（N）X从张拉端至计算截面的孔道长度（m）从张拉端至计算截面的曲线孔道部分切线的夹角之和（rad）k孔道每米局部偏差对摩檫的影响系数预应力筋与孔道壁的摩檫系数2、预应力筋的理论伸长值计算公式及参数：式中：Pp预应力筋平均张拉力（N）L预应力筋的长度（mm）Ap预应力筋的截面面积（mm2）Ep预应力筋的弹性模量（N/ mm2）二、计算参数取值：1、K孔道每米局部偏差对摩檫的影响系数：取0.00152、预应力筋与孔道壁的摩檫系数：取0.223、Ap预应力筋的实

2、测截面面积：140 mm24、Ep预应力筋实测弹性模量：1.98105 N/ mm25、锚下控制应力：k=0.75Ryb=0.751860=1395 N/ mm26、单根钢绞线张拉端的张拉控制力：P1395140=195300N7、千斤顶计算长度：34.5cm8、工作锚长度：5.5cm9、限位板计算长度：3cm10、工具锚计算长度：不计系数k及值表孔道成型方式k（钢绞线）预埋波纹管成型0.00150.200.25采用值0.00150.22三、张拉时理论伸长量计算：主线桥14东侧、531墩盖梁钢束1、AB段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=3

3、.18m=0rad kx+=0.00153.18=0.00477Pp=195300（1-e-0.00477）/0.00477=194834.95N L= PpL/（Ap Ep）=194834.953.18103/（1401.98105）=22.4mm 2、BC段伸长量：单根钢绞线张拉的张拉力P=194834.95NX=3.18m=318/1500=0.212rad kx+=0.00153.18+0.220.212=0.05141Pp=194834.95（1-e-0.05141）/0.05141=189911.45N L= PpL/（Ap Ep）=189911.453.18103/（1401.9

4、8105）=21.8mm 3、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=（189911.45+190013.74）/2=189963NX=2.942m=0rad kx+=0.00152.942=0.004413Pp=189963（1-e-0.004413）/0.004413=189544.06N L= PpL/（Ap Ep）=189544.062.942103/（1401.98105）=20.1mm 4、DE段伸长量：单根钢绞线张拉的张拉力P=194819.62NX=3.103m=310.3/1500=0.2068667rad kx+=0.00153.103+0.220.206866

5、7=0.050165Pp=194819.62（1-e-0.050165）/0.050165=190013.74N L= PpL/（Ap Ep）=190013.743.103103/（1401.98105）=21.3mm5、EF段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=3.285m=0rad kx+=0.00153.285=0.004928Pp=195300（1-e-0.004928）/0.004928=194819.62N L= PpL/（Ap Ep）=194819.623.285103/（1401.98105）=23.1mm 盖梁两端工作锚间钢

6、束理论伸长量：108.6mm6、单个千斤顶段伸长量（无管道摩阻力）：P=0.751860140=195300NX=0.345+0.55+0.30.43mL= PpL/（Ap Ep）=1953000.43103/（1401.98105）=3mm 钢束1、AB段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=3.273m=0rad kx+=0.00153.273=0.0049095Pp=195300（1-e-0.0049095）/0.0049095=194821.37N L= PpL/（Ap Ep）=194821.373.273103/（1401.98105

7、）=23mm 2、BC段伸长量：单根钢绞线张拉的张拉力P=194821.37NX=3.703m=370.3/1500=0.24687rad kx+=0.00153.703+0.220.24687=0.0598652Pp=195300（1-e-0.0598652）/0.0598652=189104.51N L= PpL/（Ap Ep）=189104.513.703103/（1401.98105）=25.3mm 3、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=（189104.51+189204.97）/2=189155NX=1.794m=0rad kx+=0.00151.794=0.002

8、691Pp=189155（1-e-0.002691）/0.002691=188900.41N L= PpL/（Ap Ep）=188900.411.794103/（1401.98105）=12.2mm 4、DE段伸长量：单根钢绞线张拉的张拉力P=194806.33N X=3.627m=3.627/1500=0.24180rad kx+=0.00153.627+0.220.24180=0.058637Pp=194806.33（1-e-0.058637）/0.058637=189204.97N L= PpL/（Ap Ep）=189204.973.627103/（1401.98105）=24.8mm5

9、、EF段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=3.376m=0rad kx+=0.00153.376=0.005064Pp=195300（1-e-0.005064）/0.005064=194806.33N L= PpL/（Ap Ep）=194806.333.376103/（1401.98105）=23.7mm 盖梁两端工作锚间钢束理论伸长量：109mm6、单个千斤顶段伸长量（不考虑管道摩阻力）：P=0.751860140=195300NX=0.345+0.55+0.30.43mL= PpL/（Ap Ep）=1953000.43103/（1401

10、.98105）=3mm 主线桥4墩西侧盖梁钢束1、AB段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=3.852m=0rad kx+=0.00153.852=0.005778Pp=195300（1-e-0.005778）/0.005778=194736.86N L= PpL/（Ap Ep）=194736.863.852103/（1401.98105）=27.1mm 2、BC段伸长量：单根钢绞线张拉的张拉力P=194736.86NX=2.842m=284.2/1500=0.18947rad kx+=0.00152.842+0.220.18947=0.04

11、59457Pp=194736.86（1-e-0.0459457）/0.0459457=190330.94N L= PpL/（Ap Ep）=190330.942.842103/（1401.98105）=19.5mm 3、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=（190330.94+189731.24）/2=190121NX=2.736m=0rad kx+=0.00152.736=0.004104Pp=190121（1-e-0.004104）/0.004104=189544.06N L= PpL/（Ap Ep）=189544.062.736103/（1401.98105）=18.7mm

12、 4、DE段伸长量：单根钢绞线张拉的张拉力P=194834NX=3.18m=318/1500=0.212rad kx+=0.00153.18+0.220.212=0.05141Pp=194834（1-e-0.05141）/0.05141=189910.74N L= PpL/（Ap Ep）=189910.743.18103/（1401.98105）=21.8mm5、EF段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=3.185m=0rad kx+=0.00153.185=0.004778Pp=195300（1-e-0.004778）/0.004778=1

13、94834.22N L= PpL/（Ap Ep）=194834.223.185103/（1401.98105）=22.4mm 盖梁两端工作锚间钢束理论伸长量：109.5mm6、单个千斤顶段伸长量（无管道摩阻力）：P=0.751860140=195300NX=0.345+0.55+0.30.43mL= PpL/（Ap Ep）=1953000.43103/（1401.98105）=3mm 钢束1、AB段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=3.90m=0rad kx+=0.00153.90=0.00585Pp=195300（1-e-0.00585）

14、/0.00585=194729.86N L= PpL/（Ap Ep）=194729.863.90103/（1401.98105）=27.4mm 2、BC段伸长量：单根钢绞线张拉的张拉力P=194729.86NX=3.365m=336.5/1500=0.22433rad kx+=0.00153.365+0.220.22433=0.0544008Pp=194729.86（1-e-0.0544008）/0.0544008=189527.88N L= PpL/（Ap Ep）=189527.883.365103/（1401.98105）=23.0mm 3、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力

15、P=（189527.88+189103.80）/2=189316NX=1.629m=0rad kx+=0.00151.629=0.0024435Pp=189316（1-e-0.0024435）/0.0024435=189084.73N L= PpL/（Ap Ep）=189084.731.629103/（1401.98105）=11.1mm 4、DE段伸长量：单根钢绞线张拉的张拉力P=194820.64N X=3.703m=3.703/1500=0.24180rad kx+=0.00153.627+0.220.24180=0.059865Pp=194820.64（1-e-0.059865）/0.

16、059865=189103.8N L= PpL/（Ap Ep）=189103.83.703103/（1401.98105）=25.3mm5、EF段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=3.278m=0rad kx+=0.00153.278=0.004917Pp=195300（1-e-0.004917）/0.004917=194820.64N L= PpL/（Ap Ep）=194820.643.278103/（1401.98105）=23.0mm 盖梁两端工作锚间钢束理论伸长量：109.8mm6、单个千斤顶段伸长量（不考虑管道摩阻力）：P=0.7

17、51860140=195300NX=0.345+0.55+0.30.43mL= PpL/（Ap Ep）=1953000.43103/（1401.98105）=3mm 主线桥3墩西侧盖梁钢束1、AB段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=4.217m=0rad kx+=0.00154.217=0.0063255Pp=195300（1-e-0.0063255）/0.0063255=194683.62N L= PpL/（Ap Ep）=194683.624.217103/（1401.98105）=29.6mm 2、BC段伸长量：单根钢绞线张拉的张拉力P

18、=194683.62NX=1.273m=127.3/600=0.21217rad kx+=0.00151.273+0.220.21217=0.0485862Pp=194683.62（1-e-0.0485862）/0.0485862=190029.82N L= PpL/（Ap Ep）=190029.821.273103/（1401.98105）=8.7mm 3、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=190029.82NX=2.818mkx+=0.00152.818=0.004227Pp=190029.82（1-e-0.004227）/0.004227=189628.76N L= P

19、pL/（Ap Ep）=189628.762.818103/（1401.98105）=19.3mm 4、DE段伸长量：单根钢绞线张拉的张拉力P=（189628.76+188774.86）/2=189202NX=0.386m=38.6/600=0.06433rad kx+=0.00150.386+0.220.06433=0.014732Pp=195300（1-e-0.0147732）/0.014732=187814.94N L= PpL/（Ap Ep）=187814.940.386103/（1401.98105）=2.6mm5、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=189156.11

20、NX=2.691mkx+=0.00152.691=0.004037Pp=189156.11（1-e-0.004037）/0.004037=188774.86N L= PpL/（Ap Ep）=188774.862.691103/（1401.98105）=18.3mm 6、DE段伸长量：单根钢绞线张拉的张拉力P=194703.31NX=1.522m=152.2/600=0.25367rad kx+=0.00151.522+0.220.25367=0.058090Pp=194703.31（1-e-0.058090）/0.058090=189156.11N L= PpL/（Ap Ep）=189156.

21、111.522103/（1401.98105）=10.4mm7、EF段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=4.082mkx+=0.00154.082=0.006123Pp=195300（1-e-0.006123）/0.006123=194703.31N L= PpL/（Ap Ep）=194703.314.082103/（1401.98105）=28.7mm 盖梁两端工作锚间钢束理论伸长量：117.6mm8、单个千斤顶段伸长量（不考虑管道摩阻力）：P=0.751860140=195300NX=0.345+0.55+0.30.43mL= PpL/

22、（Ap Ep）=1953000.43103/（1401.98105）=3mm 钢束1、AB段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=4.088m=0rad kx+=0.00154.088=0.006132Pp=195300（1-e-0.006132）/0.006132=194702.43N L= PpL/（Ap Ep）=194702.434.088103/（1401.98105）=28.7mm 2、BC段伸长量：单根钢绞线张拉的张拉力P=194702.43NX=1.605m=160.5/600=0.02675rad kx+=0.00151.605

23、+0.220.02675=0.0612575Pp=194702.43（1-e-0.0612575）/0.0612575=188858.87N L= PpL/（Ap Ep）=188858.871.605103/（1401.98105）=10.9mm 3、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=188858.87NX=2.529mkx+=0.00152.529=0.0037935Pp=188858.87（1-e-0.0037935）/0.0037935=188501.10N L= PpL/（Ap Ep）=188501.102.529103/（1401.98105）=17.2mm 4、D

24、E段伸长量：单根钢绞线张拉的张拉力P=（188501.10+187664.64）/2=188083NX=0.629m=62.9/600=0.10483rad kx+=0.00150.629+0.220.10483=0.024007Pp=188083（1-e-0.024007）/0.024007=185843.19N L= PpL/（Ap Ep）=185843.190.629103/（1401.98105）=4.2mm5、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=188003.77NX=2.408mkx+=0.00152.408=0.003612Pp=188003.77（1-e-0.0

25、03612）/0.003612=187664.64N L= PpL/（Ap Ep）=187664.642.408103/（1401.98105）=16.3mm 6、DE段伸长量：单根钢绞线张拉的张拉力P=194722.86NX=1.851m=185.1/600=0.30850rad kx+=0.00151.851+0.220.30850=0.070647Pp=195300（1-e-0.070647）/0.070647=188003.77N L= PpL/（Ap Ep）=188003.771.851103/（1401.98105）=12.6mm7、EF段伸长量：（直线段0）单根钢绞线张拉的张拉力

26、P=0.751860140=195300NX=3.948mkx+=0.00153.948=0.005922Pp=195300（1-e-0.005922）/0.005922=194722.86N L= PpL/（Ap Ep）=194722.863.948103/（1401.98105）=27.7mm 盖梁两端工作锚间钢束理论伸长量：117.7mm8、单个千斤顶段伸长量（不考虑管道摩阻力）：P=0.751860140=195300NX=0.345+0.55+0.30.43mL= PpL/（Ap Ep）=1953000.43103/（1401.98105）=3mm 主线桥2墩西侧盖梁钢束1、AB段伸

27、长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=3.943m=0rad kx+=0.00153.943=0.0059145Pp=195300（1-e-0.0059145）/0.0059145=194723.59N L= PpL/（Ap Ep）=194723.593.943103/（1401.98105）=27.7mm 2、BC段伸长量：单根钢绞线张拉的张拉力P=194723.59NX=1.813m=181.3/600=0.30217rad kx+=0.00151.813+0.220.30217=0.0691962Pp=194723.59（1-e-0.069

28、1962）/0.0691962=188139.26N L= PpL/（Ap Ep）=188139.261.813103/（1401.98105）=12.3mm 3、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=188139.26NX=2.812mkx+=0.00152.812=0.004218Pp=188139.26（1-e-0.004218）/0.004218=188743.04N L= PpL/（Ap Ep）=188743.042.755103/（1401.98105）=19.0mm 4、DE段伸长量：单根钢绞线张拉的张拉力P=（188743.04+187118.44）/2=1874

29、31NX=1.401m=140.1/600=0.2335rad kx+=0.00151.401+0.220.2335=0.053472Pp=187431（1-e-0.053472）/0.053472=182507.77N L= PpL/（Ap Ep）=182507.771.401103/（1401.98105）=9.2mm5、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=187502.67NX=2.736mkx+=0.00152.736=0.004104Pp=187502.67（1-e-0.004104）/0.004104=187118.44N L= PpL/（Ap Ep）=187118

30、.442.736103/（1401.98105）=18.5mm 6、DE段伸长量：单根钢绞线张拉的张拉力P=194739.05NX=1.997m=199.7/600=0.33283rad kx+=0.00151.997+0.220.33283=0.076219Pp=194739.05（1-e-0.076219）/0.076219=187502.67N L= PpL/（Ap Ep）=187502.671.997103/（1401.98105）=13.5mm7、EF段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=3.837mkx+=0.00153.837=

31、0.005756Pp=195300（1-e-0.005756）/0.005756=194739.05N L= PpL/（Ap Ep）=194739.053.837103/（1401.98105）=27.0mm 盖梁两端工作锚间钢束理论伸长量：127.2mm8、单个千斤顶段伸长量（不考虑管道摩阻力）：P=0.751860140=195300NX=0.345+0.55+0.30.43mL= PpL/（Ap Ep）=1953000.43103/（1401.98105）=3mm 钢束1、AB段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=3.892m=0rad

32、 kx+=0.00153.892=0.005838Pp=195300（1-e-0.005838）/0.005838=194731.03N L= PpL/（Ap Ep）=194731.033.892103/（1401.98105）=27.3mm 2、BC段伸长量：单根钢绞线张拉的张拉力P=194731.03NX=1.988m=198.8/600=0.33133rad kx+=0.00151.988+0.220.33133=0.0758753Pp=194731.03（1-e-0.0758753）/0.0758753=187526.74N L= PpL/（Ap Ep）=187526.741.9881

33、03/（1401.98105）=13.4mm 3、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=187526.74NX=2.755mkx+=0.00152.755=0.0041325Pp=187526.74（1-e-0.0041325）/0.0041325=187139.80N L= PpL/（Ap Ep）=187139.802.755103/（1401.98105）=18.6mm 4、DE段伸长量：单根钢绞线张拉的张拉力P=（187139.80+186521.87）/2=186831NX=1.332m=133.2/600=0.222rad kx+=0.00151.332+0.220.2

34、22=0.050838Pp=186831（1-e-0.050838）/0.050838=182161.25N L= PpL/（Ap Ep）=182161.251.332103/（1401.98105）=8.8mm5、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=186896.89NX=2.679mkx+=0.00152.679=0.004019Pp=186896.89（1-e-0.004019）/0.004019=186521.87N L= PpL/（Ap Ep）=186521.872.679103/（1401.98105）=18.0mm 6、DE段伸长量：单根钢绞线张拉的张拉力P=19

35、4746.93NX=2.171m=217.1/600=0.36183rad kx+=0.00152.171+0.220.36183=0.08286Pp=194746.93（1-e-0.08286）/0.08286=186896.89N L= PpL/（Ap Ep）=186896.892.717103/（1401.98105）=14.6mm7、EF段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=3.783mkx+=0.00153.783=0.005675Pp=195300（1-e-0.005675）/0.005675=194746.93N L= PpL/

36、（Ap Ep）=194746.933.783103/（1401.98105）=26.6mm 盖梁两端工作锚间钢束理论伸长量：127.4mm8、单个千斤顶段伸长量（不考虑管道摩阻力）：P=0.751860140=195300NX=0.345+0.55+0.30.43mL= PpL/（Ap Ep）=1953000.43103/（1401.98105）=3mm主线桥1墩西侧盖梁钢束1、AB段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=4.544m=0rad kx+=0.00154.544=0.006816Pp=195300（1-e-0.006816）/0.

37、006816=194635.93N L= PpL/（Ap Ep）=194635.934.544103/（1401.98105）=31.9mm 2、BC段伸长量：单根钢绞线张拉的张拉力P=194635.93NX=1.963m=196.3/600=0.32717rad kx+=0.00151.963+0.220.32717=0.0749212Pp=194635.93（1-e-0.07492122）/0.0749212=187523.48N L= PpL/（Ap Ep）=187523.481.963103/（1401.98105）=13.3mm 3、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P

38、=187523.48NX=1.941mkx+=0.00151.941=0.0029115Pp=187523.48（1-e-0.0029115）/0.0029115=187250.76N L= PpL/（Ap Ep）=187250.761.941103/（1401.98105）=13.1mm 4、DE段伸长量：单根钢绞线张拉的张拉力P=（187250.76+186670.60）/2=186961NX=2.809m=280.9/600=0.46817rad kx+=0.00152.809+0.220.46817=0.107210Pp=186961（1-e-0.107210）/0.107210=17

39、7287.39N L= PpL/（Ap Ep）=177287.392.809103/（1401.98105）=18.0mm5、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=186934.35NX=1.883mkx+=0.00151.883=0.002825Pp=186934.35（1-e-0.002825）/0.002825=186670.60N L= PpL/（Ap Ep）=186670.601.883103/（1401.98105）=12.7mm 6、DE段伸长量：单根钢绞线张拉的张拉力P=194650.36NX=2.134m=213.4/600=0.35567rad kx+=0.0

40、0152.134+0.220.35567=0.081448Pp=194650.36（1-e-0.081448）/0.081448=186934.35N L= PpL/（Ap Ep）=186934.352.134103/（1401.98105）=14.4mm7、EF段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=4.445mkx+=0.00154.445=0.006668Pp=195300（1-e-0.006668）/0.006668=194650.36N L= PpL/（Ap Ep）=194650.364.445103/（1401.98105）=31.

41、2mm 盖梁两端工作锚间钢束理论伸长量：134.5mm8、单个千斤顶段伸长量（不考虑管道摩阻力）：P=0.751860140=195300NX=0.345+0.55+0.30.43mL= PpL/（Ap Ep）=1953000.43103/（1401.98105）=3mm 钢束1、AB段伸长量：（直线段0）单根钢绞线张拉的张拉力P=0.751860140=195300NX=4.475m=0rad kx+=0.00154.475=0.0067125Pp=195300（1-e-0.0067125）/0.0067125=194645.99N L= PpL/（Ap Ep）=194645.994.475

42、103/（1401.98105）=31.4mm 2、BC段伸长量：单根钢绞线张拉的张拉力P=194645.99NX=2.169m=216.9/600=0.36150rad kx+=0.00152.169+0.220.36150=0.0827835Pp=194645.99（1-e-0.0827835）/0.0827835=186807.05N L= PpL/（Ap Ep）=186807.052.169103/（1401.98105）=14.6mm 3、CD段伸长量：（直线段0）单根钢绞线张拉的张拉力P=186807.05NX=1.84mkx+=0.00151.84=0.00276Pp=18680

43、7.05（1-e-0.00276）/0.00276=186549.49N L= PpL/（Ap Ep）=186549.491.84103/（1401.98105）=12.4mm 4、DE段伸长量：单根钢绞线张拉的张拉力P=（186549.49+185979.57）/2=186265NX=2.798m=279.8/600=0.46633rad kx+=0.00152.798+0.220.46633=0.10679Pp=186265（1-e-0.10679）/0.10679=176663.68N L= PpL/（Ap Ep）=176663.682.798103/（1401.98105）=17.8mm5、CD段伸长量：（直线段0）单根