A匝道橋現(xiàn)澆箱后張預應力鋼絞線伸長量計算

1、A匝道現(xiàn)澆橋全橋共16孔，分左右幅。左幅共4聯(lián)：3*20+3*20+5*25+5*25米，右幅共4聯(lián)：3*20+3*20+（25+26.3+23.7+25+25）+5*25米。上部結(jié)構(gòu)L1、L2采用鋼筋碎連續(xù)箱梁，L3、L4聯(lián)采用預應力碎連續(xù)箱梁。箱梁預應力采用后張法，并且鋼束張拉采用伸長量及張拉力雙控，以張拉力為主，張拉伸長量校核。錨下控制力為0.75fpk?，F(xiàn)澆箱梁混凝土達到設計強度的90淅，且混凝土齡期不小于7d時，方可張拉預應力鋼束?，F(xiàn)澆箱梁腹板鋼束有F1、F2、F3各2束，采用兩端對稱張拉；頂板負彎矩有T1（4束）、T2（4束）、T3（4束）、T4（8束），T1、T3束單端張拉，T2

2、、T4束采用兩端對稱張拉；底板束B1、B2、B3B4B5各2束，其中B1、B2、B3B4束采用單端張拉，B5束采用兩端對稱張拉。根據(jù)預應力施工圖紙，左幅L3、L4聯(lián)及右幅L4聯(lián)的預應力布置是一致的， 因此該3聯(lián)我們只需計算1聯(lián)即可； 而右幅L3聯(lián)的預應力鋼束布置與前3聯(lián)不一致，因此需另外計算。張拉順序為：腹板束-底板束-頂板束。其中腹板張拉順序為F1-F2fF3;底板張拉順序為BAB4fBAB1-B2;頂板張拉順序為T2-T1-T3-T4?，F(xiàn)澆箱梁預應力鋼絞線采用的是抗拉強度標準值為fpk=1860MPa公稱直徑d=15.2mm的低松弛高強鋼絞線。由于每束中的每股鋼絞線受力一致，并且伸長量一致

3、，因此每束鋼絞線只需計算一股鋼絞線的伸長量即可。1、鋼束的波絞管采用的均為塑料波紋管，因此管道摩擦系數(shù)為u=0.14;2、管道偏差系數(shù)為k=0.00153、張拉端錨下控制力為0.75fpk4、鋼絞線的彈性模量為Eg=1.95*105MPa5、根據(jù)預應力張拉頂子的張拉端工具夾片至鋼絞線的錨固端工作夾片的兩夾片間距離，鋼絞線的張拉工作長度設為65cm6、每股鋼絞線的公稱面積為A=140mm7、回縮量：錨具變形、鋼絞線自錨一端回縮量約為6mmt根據(jù)實踐經(jīng)驗及張拉限位板的槽口深度）A匝道現(xiàn)澆橋左幅L3、L4聯(lián)及右幅L4聯(lián)的預應力鋼束布置一樣， 因些只需計算一聯(lián)即可?，F(xiàn)以左幅L3聯(lián)鋼束伸長量計算為例。一

4、、腹板束張拉伸長量計算現(xiàn)澆箱梁腹板鋼束有F1、F2、F3各2束， 采用兩端對稱張拉， 腹板張拉順序為F1-F2-F3。由于每束鋼絞線中的每股鋼絞線在張拉時同步受力，并且伸長量一致，因此我們只需計算一股鋼絞線的伸長量即可，同時由于鋼絞線左右半幅對稱，并且兩端同時對稱張拉，因此只需計算半幅鋼絞線的伸長量再乘以2。張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN1、鋼束的波絞管采用的均為鋼波紋管，因此管道摩擦系數(shù)為u=0.14;2、管道偏差系數(shù)為k=0.00153、張拉端錨下控制力為0.75fpk4、鋼絞線的彈性模量為Eg=1.95*105MPa5、

5、根據(jù)預應力張拉頂子的張拉端工具夾片至鋼絞線的錨固端工作夾片的兩夾片間距離，鋼絞線的張拉工作長度設為65cm6、每股鋼絞線的公稱面積為A=140mm7、回縮量：錨具變形、鋼絞線自錨一端回縮量約為6mm（根據(jù)實踐經(jīng)驗及張拉限位板的槽口深度）1、腹板F3束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN9=2*9.303/180*3.14=0.325（rad）或2*4.137/180*3.14=0.144（rad）各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.9500.00440.9956194.44

6、BC2.60.3250.04940.952185.11CD10.3500.01550.9846182.26DE1.160.1440.02190.9783178.3EF4.7400.00710.9929177.04FG1.160.1440.02190.9783173.2GH0.8500.00130.9987172.97HI1.160.1440.02190.9783169.22IJ4.7400.00710.9929168.02JK1.160.1440.02190.9783164.37KL10.1800.01530.9848160.81LM1.160.1440.02190.9783157.32MN4

7、.7400.00710.9929156.2NO1.160.1440.02190.9783152.81OP0.8500.00130.9987152.61PQ1.160.1440.02190.9783149.3QR4.7400.00710.9929148.24RS1.160.1440.02190.9783145.02ST5.0900.00760.9923143.91伸長量L=(P1+P2)*L/(2A*Eg)L=(LAB+LBC+LCD+LDE+LEF+.+L40.006)*2=(0.0211+0.0181+0.0696+0.0077+0.0308+0.0074+0.0054+0.0073+0.0

8、293+0.0071+0.0606+0.0068+0.0272+0.0066+0.00475+0.0064+0.0258+0.0062+0.0269-0.006)*2=0.3691m*2=738.1mm2、腹板F2束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN9=2*9.236/180*3.14=0.3224(rad)或2*3.7845/180*3.14=0.1322(rad)各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.4800.00370.996194.52BC2.580.32240.0

9、490.952185.18CD8.1600.01220.988182.96DE1.060.13220.02010.980179.3EF5.3300.0080.992177.87FG1.060.13220.02010.98174.31GH2.9400.00440.996173.61HI1.060.13220.02010.98170.14IJ5.3300.0080.992168.78JK1.060.13220.02010.98165.4KL7.2700.01090.989163.58LM1.060.13220.02010.98160.31MN5.3300.0080.992159.03NO1.060

10、.13220.02010.98155.85OP2.9400.00440.996155.23PQ1.060.13220.02010.98152.12QR5.3300.0080.992150.9RS1.060.13220.02010.98147.89ST3.6300.00540.995147.15伸長量L=(P1+P2)*L/(2A*Eg)L=(LAB+LBC+LCD+LDE+LEF+.+L.0.006)*2=(0.0177+0.0179+0.055+0.007+0.0349+0.0068+0.0187+0.0067+0.0331+0.0065+0.0438+0.0063+0.0312+0.006

11、1+0.0168+0.006+0.0296+0.0058+0.0196-0.006)*2=0.3636m*2=727.2mm3、腹板F1束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN9=2*9.169/180*3.14=0.3198(rad)或2*3.4912/180*3.14=0.1218(rad)各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.000.0030.997194.71BC2.560.31980.02620.974189.65CD5.9700.0090.991187.94DE0.

12、970.12180.010.99186.06EF5.8600.0090.991184.39FG0.970.12180.010.99182.55GH4.7100.0070.993181.27HI0.970.12180.010.99179.45IJ5.8600.0090.991177.84JK0.970.12180.010.99176.06KL4.3500.00650.993174.83LM0.970.12180.010.99173.08MN5.8600.0090.991171.52NO0.970.12180.010.99169.81OP4.7100.0070.993168.62PQ0.970.1

13、2180.010.99166.93QR5.8600.0090.991165.43RS0.970.12180.010.99163.78ST2.1700.00330.997163.28伸長量L=(P1+P2)*L/(2A*Eg)L=(LAB+LBC+LCD+LDE+LEF+.+L.0.006)*2=(0.0143+0.018+0.0413+0.0066+0.03980.0065+0.0314+0.0064+0.0383+0.0063+0.028+0.0062+0.037+0.0061+0.0292+0.006+0.0357+0.0058+0.013-0.006)*2=0.3699m*2=739.8

14、mm二、底板束張拉伸長量現(xiàn)澆箱梁底板束B1、B2、B&B4B5各2束，其中B1、B2、B3B4束采用單端張拉，B5束采用兩端對稱張拉，底板張拉順序為B3-B4fBAB1-B2。由于每束鋼絞線中的每股鋼絞線在張拉時同步受力，并且伸長量一致，因此我們只需計算一股鋼絞線的伸長量即可，同時由于B5束鋼絞線兩端對稱張拉，因此只需計算半幅鋼絞線的伸長量再乘以2。張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN1、鋼束的波絞管采用的均為鋼波紋管，因此管道摩擦系數(shù)為u=0.14;2、管道偏差系數(shù)為k=0.00153、張拉端錨下控制力為0.75fpk4、

15、鋼絞線的彈性模量為Eg=1.95*105MPa5、根據(jù)預應力張拉頂子的張拉端工具夾片至鋼絞線的錨固端工作夾片的兩夾片間距離，鋼絞線的張拉工作長度設為65cm6、每股鋼絞線的公稱面積為A=140mm7、回縮量：錨具變形、鋼絞線自錨一端回縮量約為6mm(根據(jù)實踐經(jīng)驗及張拉限位板的槽口深度)1、底板B1束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN8=2*4.817/180*3.14=0.1682(rad)或2*1.287/180*3.14=0.045(rad)或2*2.491/180*3.14=0.087(rad)各段參數(shù)表線段L(m)0(ra

16、d)kx+u9e-(kx+u0)終點力(KNAB(含工作長度)2.000.0030.997194.71BC1.350.16820.02560.975189.85CD1.1900.00180.998189.47DE1.960.0450.0090.991187.77EF2.6700.00410.996187.01FG1.960.0450.0090.991185.33GH18.7300.02810.972180.14HI1.890.0450.0090.991178.52IJ2.7400.0040.996177.81JK1.890.0450.0090.991176.21KL17.9500.02690.

17、973171.45LM0.70.0870.01320.987169.22MN3.0300.00450.995168.37伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LMM0.006=0.0142+0.0096+0.0082+0.0135+0.0184+0.0134+0.1254+0.0124+0.0174+0.0122+0.1142+0.0044+0.0188-0.006=0.3761m=376.1mm2、底板B2束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN8=2*4.817/180*3.1

18、4=0.1682(rad)或2*1.287/180*3.14=0.045(rad)或2*2.491/180*3.14=0.087(rad)各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.000.0030.997194.71BC1.350.16820.02560.975189.85CD1.1900.00180.998189.47DE1.960.0450.00920.991187.76EF2.7300.00410.996187.01FG1.960.0450.00920.991185.33GH18.7300.02810.972180.14HI1.960

19、.0450.00920.991178.52IJ2.7300.0040.996177.8JK1.960.0450.00920.991176.2KL17.9500.0270.973171.45LM0.70.0870.01320.987169.22MN3.0300.00450.995168.37伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LMM0.006=0.0143+0.0095+0.0083+0.0135+0.0187+0.0134+0.1254+0.0129+0.0178+0.0127+0.1143+0.0044+0.0187-0.006=0.3

20、779m=377.9mm3、底板B3束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN8=2*4.817/180*3.14=0.1682(rad)或2*1.287/180*3.14=0.045(rad)或2*2.491/180*3.14=0.087(rad)各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.000.0030.997194.71BC1.350.16820.02560.975189.85CD1.000.00150.999189.66DE1.960.0450.00920.991187.95

21、EF2.7300.00410.996187.2FG1.960.0450.00920.991185.51GH17.9500.02690.973180.5HI0.70.0870.01320.987178.16IJ3.0300.00450.995177.27伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LJ-0.006=0.0143+0.0095+0.007+0.0136+0.0188+0.0134+0.1203+0.0046+0.0197-0.006=0.2152m=215.2mm4、底板B4束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*

22、140*106/1000=195.3KN8=2*4.817/180*3.14=0.1682(rad)或2*1.287/180*3.14=0.045(rad)或2*2.491/180*3.14=0.087(rad)各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.000.0030.997194.71BC1.350.16820.02560.975189.85CD1.1900.001790.998189.66DE1.960.0450.00920.991187.95EF2.7300.00410.996187.2FG1.960.0450.00920.9911

23、85.51GH17.9500.02690.973180.5HI0.70.0870.01320.987178.16IJ3.0300.00450.995177.27伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LJ-0.006=0.0143+0.0095+0.007+0.0136+0.0188+0.0134+0.1203+0.0046+0.0197-0.006=0.2152m=215.2mm5、底板B5束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN8=2*4.817/180*3.14=0.1682(

24、rad)或2*1.287/180*3.14=0.045(rad)或2*2.491/180*3.14=0.087(rad)各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.000.0030.997194.71BC1.350.16820.02560.975189.85CD1.1900.001790.998189.66DE1.960.0450.00920.991187.95EF2.7300.00410.996187.2FG1.960.0450.00920.991185.51GH9.3700.0140.986182.91伸長量L=(P1+P2)*L/(2A

25、*Eg)L=(LAB+LBC+LCD+LDE+LEF+.+LG什0.006)*2=(0.0143+0.0095+0.007+0.0136+0.0188+0.0134+0.0632-0.006)*2=0.2676m=267.6mm三、頂板束張拉伸長量現(xiàn)澆箱梁頂板束負彎矩有T1(4束)、T2(4束)、T3(4束)、T4(8束)，T1、T3束單端張拉，T2、T4束采用兩端對稱張拉，頂板張拉順序為T2T1-T3-T4。由于每束鋼絞線中的每股鋼絞線在張拉時同步受力，并且伸長量一致，因此我們只需計算一股鋼絞線的伸長量即可，同時由于B5束鋼絞線兩端對稱張拉，因此只需計算半幅鋼絞線的伸長量再乘以2。張拉端單股

26、鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN1、鋼束的波絞管采用的均為鋼波紋管，因此管道摩擦系數(shù)為u=0.14;2、管道偏差系數(shù)為k=0.00153、張拉端錨下控制力為0.75fpk4、鋼絞線的彈性模量為Eg=1.95*105MPa5、根據(jù)預應力張拉頂子的張拉端工具夾片至鋼絞線的錨固端工作夾片的兩夾片間距離，鋼絞線的張拉工作長度設為65cm6、每股鋼絞線的公稱面積為A=140mm7、回縮量：錨具變形、鋼絞線自錨一端回縮量約為6mm(根據(jù)實踐經(jīng)驗及張拉限位板的槽口深度)1、頂板T1束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*10

27、6/1000=195.3KN8=2*6.2085/180*3.14=0.2166(rad)或2*0.8593/180*3.14=0.03(rad)或2*3.2681/180*3.14=0.114(rad)各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力(KNAB(含工作長度)1.8300.00270.997194.71BC1.730.21660.03290.968188.48CD1.3300.020.998188.11DE1.490.030.00640.994186.86EF2.800.00420.996186.23GH18.74100.0280.972185.11HI0.

28、910.1140.1730.982181.78IJ2.3500.00350.996181.06伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LIJ-0.006=0.0131+0.0121+0.0092+0.0102+0.0191+0.1274+0.0061+0.0156-0.006=0.2068m=206.8mm2、頂板T2束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN8=2*5.52/180*3.14=0.1926(rad)或2*0.8593/180*3.14=0.03(rad)各段參數(shù)表線段

29、L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）1.9200.00290.997194.71BC1.540.19260.02930.9712189.11CD1.430.00.00210.998188.73DE1.490.030.00640.994187.6EF2.800.00420.996186.85FG1.490.030.00640.994185.72GH19.400.02910.971180.34HI1.490.030.00640.994179.26IJ2.800.00420.996178.54JK1.490.030.00640.994177.47KL9.70

30、0.01460.986174.98伸長量L=(P1+P2)*L/(2A*Eg)L=(LAB+LBC+LCD+LDE+LEF+.+LKL-0.006)*2=(0.0137+0.0108+0.0099+0.0102+0.0192+0.0102+0.1301+0.0098+0.0183+0.0097+0.0626-0.006)*2=0.597m=597mm3、頂板T3束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN8=2*6.2085/180*3.14=0.2166(rad)或2*0.8593/180*3.14=0.03(rad)或2*3.2681

31、/180*3.14=0.114(rad)各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）1.8300.00270.997194.71BC1.730.21660.03290.968188.48CD1.3300.020.998188.11DE1.490.030.00640.994186.86EF2.800.00420.996186.23GH18.74100.0280.972185.11HI0.910.1140.1730.982181.78IJ2.3500.00350.996181.06伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD

32、+LDE+LEF+.+LJ-0.006=0.0131+0.0121+0.0092+0.0102+0.0191+0.1274+0.0061+0.0156-0.006=0.2068m=206.8mm4、頂板T4束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN9=2*5.52/180*3.14=0.1926(rad)或2*0.8593/180*3.14=0.03(rad)。左幅各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）1.9200.00290.997194.71BC1.540.19260.02930

33、.9712189.11CD1.4300.00210.998188.73DE1.490.030.00640.994187.6EF1.400.00420.996186.85伸長量L=(P1+P2)*L/(2A*Eg)L=(LAB+LBC+LCD+LDE+LEF-0.006)*2=(0.0137+0.0108+0.0099+0.0102+0.0096-0.006)*2=0.0482m*2=96.4mmA匝道現(xiàn)澆橋右幅L3聯(lián)的預應力腹板、底板、頂板鋼束伸長量計算一、腹板束張拉伸長量計算現(xiàn)澆箱梁腹板鋼束有F1、F2、F3各2束， 采用兩端對稱張拉， 腹板張拉順序為F1-F2-F3。由于每束鋼絞線中的每股

34、鋼絞線在張拉時同步受力，并且伸長量一致，因此我們只需計算一股鋼絞線的伸長量即可，但由于F1、F2、F3束左右幅不對稱，因此我們必需找到鋼束中受力一樣的點，然后以此點分成兩斷，分別進行計算伸長量，再將兩段伸長量相加，即為該束鋼絞線的總伸長量。兩個張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN1、鋼束的波絞管采用的均為鋼波紋管，因此管道摩擦系數(shù)為u=0.14;2、管道偏差系數(shù)為k=0.00153、張拉端錨下控制力為0.75fpk4、鋼絞線的彈性模量為Eg=1.95*105MPa5、根據(jù)預應力張拉頂子的張拉端工具夾片至鋼絞線的錨固端工作夾片的兩夾片

35、間距離，鋼絞線的張拉工作長度設為65cm6、每股鋼絞線的公稱面積為A=140mm7、回縮量：錨具變形、鋼絞線自錨一端回縮量約為6mm（根據(jù)實踐經(jīng)驗及張拉限位板的槽口深度）1、腹板F3束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN9=2*9.303/180*3.14=0.325（rad）或2*4.137/180*3.14=0.144（rad）左幅各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.9500.00440.9956194.44BC2.60.3250.04940.952185.11CD10

36、.3500.01550.9846182.26DE1.160.1440.02190.9783178.3EF4.7400.00710.9929177.04FG1.160.1440.02190.9783173.2GH0.8500.00130.9987172.97HI1.160.1440.02190.9783169.22IJ4.7400.00710.9929168.02JK1.160.1440.02190.9783164.37KL11.4800.017220.9829161.56LM1.160.1440.02190.9783158.05MN4.7400.00710.9929156.93NO1.160.

37、1440.02190.9783153.53OP0.8500.00130.9987153.32PQ1.160.1440.02190.9783150.0QR4.7400.00710.9929148.93RS1.160.1440.02190.9783145.70ST3.800.00570.994144.87伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LST-0.006=0.0211+0.0181+0.0696+0.0077+0.0308+0.0074+0.0054+0.0073+0.0293+0.0071+0.0685+0.0068+0.0273+0.

38、00483+0.0064+0.026+0.0063+0.0202-0.006=0.3641m=364.1mm右幅各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.9500.00440.9956194.44BC2.60.3250.04940.952185.11CD10.3500.01550.9846182.26DE1.160.1440.02190.9783178.3EF4.7400.00710.9929177.04FG1.160.1440.02190.9783173.2GH0.8500.00130.9987172.97HI1.160.1440.021

39、90.9783169.22IJ4.7400.00710.9929168.02JK1.160.1440.02190.9783164.37KL10.1800.015270.9848161.87LM1.160.1440.02190.9783158.36MN4.7400.00710.9929157.23NO1.160.1440.02190.9783153.82OP0.8500.00130.9987153.62PQ1.160.1440.02190.9783150.29QR4.7400.00710.9929148.22RS1.160.1440.02190.9783145.98ST5.0800.007620

40、.992144.87伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LST-0.006=0.0211+0.0181+0.0696+0.0077+0.0308+0.0074+0.0054+0.0073+0.0293+0.0071+0.0608+0.0068+0.0274+0.0066+0.0048+0.0065+0.0259+0.0063+0.0271-0.006=0.370m*2=370mm因此腹板F3束總伸長量為：364.1+370=734.1mm2、腹板F2束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=19

41、5.3KN8=2*9.236/180*3.14=0.3224(rad)或2*3.7845/180*3.14=0.1322(rad)左幅各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.4800.00370.996194.52BC2.580.32240.0490.952185.18CD8.1600.01220.988182.96DE1.060.13220.02010.980179.3EF5.3300.0080.992177.87FG1.060.13220.02010.98174.31GH2.9400.00440.996173.61HI1.060.13

42、220.02010.98170.14IJ5.3300.0080.992168.78JK1.060.13220.02010.98165.4KL8.5700.01290.9872163.28LM1.060.13220.02010.98160.02MN5.3300.0080.992158.74NO1.060.13220.02010.98155.56OP2.9400.00440.996154.94PQ1.060.13220.02010.98151.84QR5.3300.0080.992150.63RS1.060.13220.02010.98147.61ST2.3100.00350.9965147.1伸

43、長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LST-0.006=0.0177+0.0179+0.055+0.007+0.0349+0.0068+0.0187+0.0067+0.0331+0.0065+0.0516+0.0063+0.0311+0.0061+0.0167+0.006+0.0295+0.0058+0.0125-0.006=0.3639m=363.9mm右幅各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.4800.00370.996194.52BC2.580.32240.0490.95218

44、5.18CD8.1600.01220.988182.96DE1.060.13220.02010.980179.3EF5.3300.0080.992177.87FG1.060.13220.02010.98174.31GH2.9400.00440.996173.61HI1.060.13220.02010.98170.14IJ5.3300.0080.992168.78JK1.060.13220.02010.98165.4KL7.2700.01090.9892163.61LM1.060.13220.02010.98160.34MN5.3300.0080.992159.06NO1.060.13220.0

45、2010.98155.87OP2.9400.00440.996155.25PQ1.060.13220.02010.98152.15QR5.3300.0080.992150.93RS1.060.13220.02010.98147.91ST3.6600.005490.9945147.1伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LST-0.006=0.0177+0.0179+0.055+0.0070+0.0349+0.0068+0.0187+0.0067+0.0331+0.0065+0.0438+0.0063+0.0312+0.0061+0.0168

46、+0.006+0.0296+0.0058+0.0198-0.006=0.3637m=363.7mm因此腹板F2束左右幅合計總伸長量為：363.9mm+363.7mm=727.6mm3、腹板F1束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN9=2*9.169/180*3.14=0.3198(rad)或2*3.4912/180*3.14=0.1218(rad)左幅各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.000.0030.997194.71BC2.560.31980.02620.974189

47、.65CD5.9700.0090.991187.94DE0.980.12180.010.99186.06EF5.8600.0090.991184.39FG0.980.12180.010.99182.55GH4.7100.0070.993181.27HI0.980.12180.010.99179.45IJ5.8600.0090.991177.84JK0.980.12180.010.99176.06KL5.6500.00850.992174.65LM0.980.12180.010.99172.91MN5.8600.0090.991171.35NO0.980.12180.010.99169.64OP

48、4.7100.0070.993168.45PQ0.980.12180.010.99166.76QR5.8600.0090.991165.26RS0.980.12180.010.99163.61ST1.1800.00180.998163.32伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+L收0.006=0.0143+0.018+0.0413+0.0067+0.0398+0.0065+0.0314+0.0065+0.0383+0.0064+0.0363+0.0062+0.0369+0.0061+0.0292+0.006+0.0356+0.0059+0.

49、0071-0.006=0.3725m=372.5mm右幅各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.000.0030.997194.71BC2.560.31980.02620.974189.65CD5.9700.0090.991187.94DE0.980.12180.010.99186.06EF5.8600.0090.991184.39FG0.980.12180.010.99182.55GH4.7100.0070.993181.27HI0.980.12180.010.99179.45IJ5.8600.0090.991177.84JK0.980

50、.12180.010.99176.06KL4.3500.00650.993174.83LM0.980.12180.010.99173.08MN5.8600.0090.991171.52NO0.980.12180.010.99169.81OP4.7100.0070.993168.62PQ0.980.12180.010.99166.93QR5.8600.0090.991165.43RS0.980.12180.010.99163.78ST1.8700.00280.997163.32伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+L收0.006=0.0143

51、+0.018+0.0413+0.0067+0.0398+0.0065+0.0314+0.0065+0.0383+0.0064+0.028+0.0062+0.037+0.0061+0.0292+0.006+0.0357+0.0058+0.0112-0.006=0.3684m=368.4mm因此腹板F1束左右幅合計總伸長量為：372.5mm+368.4mm=740.9mm二、底板束張拉伸長量現(xiàn)澆箱梁底板束B1、B2、B3B4B5各2束，其中B1、B2、B3B4束采用單端張拉，B5束采用兩端對稱張拉，底板張拉順序為B3-B4fBAB1-B2。由于每束鋼絞線中的每股鋼絞線在張拉時同步受力，并且伸長量一

52、致，因此我們只需計算一股鋼絞線的伸長量即可，同時由于B5束鋼絞線兩端對稱張拉，因此只需計算半幅鋼絞線的伸長量再乘以2。張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN1、鋼束的波絞管采用的均為鋼波紋管，因此管道摩擦系數(shù)為u=0.14;2、管道偏差系數(shù)為k=0.00153、張拉端錨下控制力為0.75fpk4、鋼絞線的彈性模量為Eg=1.95*105MPa5、根據(jù)預應力張拉頂子的張拉端工具夾片至鋼絞線的錨固端工作夾片的兩夾片間距離，鋼絞線的張拉工作長度設為65cm6、每股鋼絞線的公稱面積為A=140mm7、回縮量：錨具變形、鋼絞線自錨一端回縮量約為

53、6mm(根據(jù)實踐經(jīng)驗及張拉限位板的槽口深度)1、底板B1束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN8=2*4.817/180*3.14=0.1682(rad)或2*1.287/180*3.14=0.045(rad)或2*2.491/180*3.14=0.087(rad)各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力(KNAB(含工作長度)2.000.0030.997194.71BC1.350.16820.02560.975189.85CD1.1900.00180.998189.47DE1.960.0450.0090

54、.991187.77EF2.6700.00410.996187.01FG1.960.0450.0090.991185.33GH20.0300.030.97179.77HI1.960.0450.0090.991178.15IJ2.6700.0040.996177.44JK1.960.0450.0090.991175.84KL17.9500.02690.973171.09LM0.70.0870.01320.987168.87MN3.0300.00450.995168.03伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LMM0.006=0.0143+0.

55、0095+0.0083+0.0135+0.0183+0.0134+0.134+0.0128+0.0174+0.0127+0.1141+0.0044+0.0187-0.006=0.3854m=385.4mm2、底板B2束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN8=2*4.817/180*3.14=0.1682(rad)或2*1.287/180*3.14=0.045(rad)或2*2.491/180*3.14=0.087(rad)各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.000.0030

56、.997194.71BC1.350.16820.02560.975189.85CD1.1900.00180.998189.47DE1.960.0450.00920.991187.76EF2.7300.00410.996187.01FG1.960.0450.00920.991185.33GH18.7300.02810.972180.14HI1.960.0450.00920.991178.52IJ2.7300.0040.996177.8JK1.960.0450.00920.991176.2KL17.9500.0270.973171.45LM0.70.0870.01320.987169.22MN3.

57、0300.00450.995168.37伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LMQ006=0.0143+0.0095+0.0083+0.0135+0.0187+0.0134+0.1254+0.0129+0.0178+0.0127+0.1143+0.0044+0.0187-0.006=0.3779m=377.9mm3、底板B3束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN8=2*4.817/180*3.14=0.1682(rad)或2*1.287/180*3.14=0.045(rad)或

58、2*2.491/180*3.14=0.087(rad)各段參數(shù)表線段L(m)0(rad)kx+u9e-(kx+u0)終點力（KNAB（含工作長度）2.000.0030.997194.71BC1.350.16820.02560.975189.85CD1.000.00150.999189.66DE1.960.0450.00920.991187.95EF2.7300.00410.996187.2FG1.960.0450.00920.991185.51GH17.9500.02690.973180.5HI0.70.0870.01320.987178.16IJ3.0300.00450.995177.27伸

59、長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LJ-0.006=0.0143+0.0095+0.007+0.0136+0.0188+0.0134+0.1203+0.0046+0.0197-0.006=0.2152m=215.2mm4、底板B4束張拉端單股鋼絞線的錨下控制力為P=0.75fpk*106*140*106/1000=195.3KN8=2*4.817/180*3.14=0.1682(rad)或2*1.287/180*3.14=0.045(rad)或2*2.491/180*3.14=0.087(rad)各段參數(shù)表線段L(m)0(rad)kx+u

60、9e-(kx+u0)終點力（KNAB（含工作長度）2.000.0030.997194.71BC1.350.16820.02560.975189.85CD1.1900.001790.998189.66DE1.960.0450.00920.991187.95EF2.7300.00410.996187.2FG1.960.0450.00920.991185.51GH17.9500.02690.973180.5HI0.70.0870.01320.987178.16IJ3.0300.00450.995177.27伸長量L=(P1+P2)*L/(2A*Eg)L=LAB+LBC+LCD+LDE+LEF+.+LJ-0.