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泉州后渚大橋主橋設計

上部結構縱向受力分析

計算書

泉州后渚大橋主橋采用66+3x120+66=492米預應力混凝土連續剛構,大

橋上部結構采用雙幅分離式結構的單室單箱梁,箱梁頂面寬12.0米,箱寬6.5

米。

本橋縱向分析采用同濟大學橋梁博士之直線橋梁結構設計施工計算程序。

-.主要計算參數和假定

考慮目前施工單位尚未提供具體有關的施工方案和施工掛藍情況等,以下施

工控制參數為擬定值。

1.材料特性和計算參數

主梁采用50號混凝土,混凝土容重2.625噸/立方米,50號混凝土彈性模量為3.5x

lO4Mpa,抗壓設計強度28.5Mpa,線膨脹系數a=1x10-5,混凝土材料的收縮徐變特性

全部按照規范規定取值。

預應力采用鋼絞線束施加,鋼絞線彈性模量取L95xlO5MPa,鋼絞線采用ASTM

A416-92標準270級低松弛鋼絞線,公稱直徑15.24mm,公稱面積140mm2,抗拉標準

強度為1860MPao

預應力波紋管道采用VSLPT-PLUS塑料波紋管真空輔助壓漿。錨具設計采用VSLEC

型錨具。

鋼束設計采用19股(中跨底束)、12股(邊跨底束及合攏束)和22股(頂束)三

種不同股數鋼絞線,對應錨具采用VSLEC-19型、VSLEC-12型和VSLEC-22型錨具,對

應波紋管采用(P內100mm和<p內76mm兩種波紋管。

單個錨具回縮6mm,成孔面積對應q>內100mm和①內76mm兩種波紋管分別為

10568mm2和6504mm2,孔道摩阻系數|J=0.15和偏差系數k=0.0012。

2.施工環境和溫度模式

Q)施工環境按野外一般條件濕度。

(2)溫度模式:

a)均勻溫差成分:升溫取25℃,降溫取-20℃e

b)不均勻溫差成分:①新西蘭升溫溫差模式;②修正英國降溫溫差模式.

c)計算采用如下三種溫度組合模式:(h為箱梁高度)表2-1

模式一至箱底距(m)0.00.2h-1.2h-0.6h-0.4h-0.25h-0.1h

溫度(℃)1.50.00.00.61.06.213.020.0

模式二至箱底距(m)0.00.25h-0.45h-0.25h

溫度(℃)-6.5-1.00.0-0.5-8.4

3,施工工序

本橋下部結構為群柱基礎,采用鉆孔施工;上部結構采用懸臂澆注法雙T同時施工,

先合攏中跨,然后合攏次中跨,最后合攏邊跨。邊跨現澆段采用落地支架及合攏段才采用合

攏支架施工。

4.橋梁線形

本橋為直線橋,位于R=10000米的不對稱豎曲線上,縱坡為2.099%和-2.1%,豎曲

線頂點位于中跨。曲線對結構影響較小,因此在計算中假定本橋為平直橋,在計算中未考慮

豎曲線的影響。

5.掛籃型式和臨時荷載

上部結構懸澆最大塊件重量為130噸,設計計算中將掛籃、模板等施工外載取130

噸的0.45倍,即60電并暫假定掛籃、模板重心距已澆梁段前端0.5米位置。

邊跨合攏掛籃、吊架和模板等施工外載30噸,每則按15噸取。中跨合攏掛籃、吊架

和模板等施工外載30噸,兩側各施加15噸,作用點距懸臂端部50厘米。

6.二期恒載和運營活載

(1)二期恒載:6.2t/m

(2)活載:三列汽超20,一列掛120,人群荷載按035t/m,人行道凈寬1m.

偏載放大系數近似全橋一致取1.1.

橫向分布系數:汽車3x0.78x1.1=2.574

掛車1」

人群L1

7.豎向預應力

每根粗鋼筋設計張拉控制應力。K=0.9Rby=675Mpa,張拉力543KN,考慮錨具回縮2

毫米,松弛7%,則對2.8米長粗鋼筋近似損失應力:。s=0.002*2*1072.8

+7%*675=190.1Mpa?0.3oK。近似按全部粗鋼筋有效拉應力0.7。Ko

粗鋼筋縱向布置間距50厘米,橫向每側腹板2根共4根,則每延米豎向預加力

F=8*0.7*543=3041KNo

二.結構離散

本次計算將整個橋梁離散為80個單元,節點按照JII頁序劃分。單元劃分見如下結構離

散圖

三.施工階段內力和正應力計算結果

根據施工階段劃分表中各施工工序,進行了詳細計算。最大懸臂階段即16

階段,成橋階段即21階段主梁的內力、上下緣應力如下。

第16施工階段結構效應

階段累計結果:

單元號節點號軸力剪力彎矩

11O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

12O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

22O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

230.000e+000O.OOOe+OOOO.OOOe+OOO

33O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

340.000e+0000.000e+000O.OOOe+OOO

440.000e+0000.000e+000O.OOOe+OOO

450.000e+000O.OOOe+OOOO.OOOe+OOO

557.580e+003-6.000e-0026.910e+003

567.643e+0031.581e+0032.162e+003

661.515e+004-1.581e-0039.104e+003

671.529e+0042.572e+0034.890e+002

772.281e+004-2.572e-0037.743e+003

782.301e+0043.580e+003-4.358e+003

883.788e+004-3.580e-0031.096e+004

893.818e+0044.516e+003-1.146e+003

995.289e+004-4.516e-0031.545e+004

9105.343e+0045.517e+0032.470e+003

10106.081e+004-5.517e+0031.168e+004

10116.150e+0046.595e+003-2.738e+003

11116.892e+004-6.595e+0037.597e+003

11126.953e+0047.744e+003-9.170e+003

12127.696e+004-7.744e+0032.356e+003

12137.766e+0048.951e+003-1.559e+004

13138.512e+004-8.951e+003-2.643e+003

13148.574e+0041.006e+004-1.904e+004

14149.320e+004-1.006e+004-4.734e+003

14159.390e+0041.123e+004-2.127e+004

15151.014e+005-1.123e4-004-5.387e+003

15161.020e+0051.246e+004-2.221e+004

16161.168e+005-1.246e+0041.247e+004

16171.175e+0051.37564-004-2.242e+003

17171321e+005-1.375e+0043.215e+004

17181329e+0051.492e+0042.201e+004

18181.474e+005-1.492e+0045.388e+004

18191.483e+0051.615e+0044.698e+004

19191.624e+005-1.615e+0048.495e+004

19201.634e+0051.710e+0048.179e+004

20201.634e+005-1.710e+0048.179e+004

20211.637e+0051.747e+0046.983e+004

21211.637e+0051.311e+0036.941e+004

21221.639e+005-9.397e+0027.080e+004

22221.639e+0059.397e+0027.080e+004

22231.643e+005-2.340e-0027.286e+004

23231.643e+0052.340e-0027.286e+004

23241.639e+0059.396e+0027.081e+004

24241.639e+005-9.396e+0027.081e+004

24251.637e+0051.31164-0036.943e+004

25251.637e+0051.747e+0046.985e+004

25261.634e+005-1.710e+0048.194e+004

26261.634e+0051.710e+0048.194e+004

26271.624e+005-1.615e+0048.495e+004

27271.483e+0051.615e+0044.698e+004

27281.474e+005-1.492e+0045.390e+004

28281.329e+0051.492e+0042.204e+004

28291.321e+005-1.375e+0043.215e+004

29291.175e+005L375e+004-2.242e+003

29301.168e+005-1.246e+0041.248e+004

30301.020e+0051.246e+004-2.220e+004

30311.014e+005-1.123e+004-5.388e+003

31319.390e+0041.123e+004-2.127e+004

31329320e+004-1.006e+004-4.737e+003

32328.574e+0041.006e+004-1.904e+004

32338.512e+004-8.951e+003-2.647e+003

33337.766e+0048.959+003-1.560e+004

33347.695e+004-7.744e+0032.350e+003

34346.952e+0047.744e+003-9.175e+003

34356.892e+004-6.595e+0037.590e+003

35356.150e+0046.595e+003-2.743e+003

35366.080e+004-5.517e+0031.167e+004

36365.343e+0045.517e+0032.463e+003

36375.288e+004-4.516e+0031.544e+004

37373.817e+0044.516e+003-1.150e+003

37383.787e+004-3.580e+0031.096e+004

38382.301e+0043.580e+003-4.359e+003

38392.281e+004-2.572e+0037.740e+003

39391.529e+0042.572e+0034.880e+002

39401.515e+004-1.581e+0039.102e+003

40407.642e+0031.581e+0032.161e+003

40417.579e+003-6.000e+0026.909e+003

41410.000e+000O.OOOe+OOOO.OOOe+OOO

41420.000e+000O.OOOe+OOOO.OOOe+OOO

42420.000e+000O.OOOe+OOOO.OOOe+OOO

42430.000e+000O.OOOe+OOOO.OOOe+OOO

43437.579e+003-6.000e+0026.909e+003

43447.642e+0031.58164-0032.161e+003

44441.515e+004-1.581e+0039.102e+003

44451.529e+0042.572e+0034.880e+002

45452.281e+004-2.572e+0037.740e+003

45462.301e+0043.5806+003-4359e+003

46463.787e+004-3.580e+0031.096e+004

46473.817e+0044.516e+003-1.151e+003

47475.288e+004-4.516e+0031.544e+004

47485.343e+0045.51764-0032.463e+003

48486.080e+004-5.517e+0031.167e+004

48496.150e+0046.595e+003-2.744e+003

49496.892e+004-6.595e+0037.590e+003

49506.952e+0047.744e+003-9.175e+003

50507.695e+004-7.744e+0032.350e+003

50517.766e+0048.95164-003-1.560e+004

51518.512e+004-8.951e+003-2.648e+003

51528.574e+0041.00664-004-1.904e+004

52529.320e+004-1.006e+004-4.737e+003

52539.390e+0041.123e+004-2.127e+004

53531.014e+005-1.123e+004-5.388e+003

53541.020e+0051.246e+004-2.221e+004

54541.168e+005-1.246e+0041.247e+004

54551.175e+0051.375e+004-2.242e+003

55551.321e+005-1.375e+0043.215e+004

55561.329e+0051.492e+0042.201e+004

56561.474e+005-1.492e+0045.388e+004

56571.483e+0051.61564-0044.698e+004

57571.624e+005-1.615e+0048.495e+004

57581.634e+0051.710e+0048.179e+004

58581.634e+005-1.710e+0048.179e+004

58591.637e+0051.747e+0046.983e+004

59591.637e+0051.311e+0036.942e+004

59601.639e+005-9.397e+0027.080e+004

60601.639e+0059.397e+0027.080e+004

60611.643e+005-7.389e-0027.286e+004

61611.643e+0057.389e-0027.286e+004

61621.639e+0059.396e+0027.081e+004

62621.639e+005-9.396e+0027.081e+004

62631.637e+0051.310e+0036.944e+004

63631.637e+0051.747e+0046.985e+004

63641.634e+005-1.710e+0048.194e+004

64641.634e+0051.710e+0048.194e+004

64651.624e+005-1.615e+0048.494e+004

65651.483e+0051.615e+0044.698e+004

65661.474e+005-1.492e+0045.390e+004

66661.329e+0051.492e+0042.204e+004

66671.321e+005-1.375e+0043.215e+004

67671.175e+0051.375e+004-2.242e+003

67681.168e+005-1.246e+0041.247e+004

68681.020e+0051.246e+004-2.220e+004

68691.014e+005-1.123e+004-5.389e+003

69699.390e+0041.123e+004-2.126e+004

69709.320e+004-1.006e+004-4.738e+003

70708.574e+0041.006e+004-1.904e+004

70718.512e+004-8.951e+003-2.648e+003

71717.766e+0048.951e+003-1.559e+004

71727.695e+004-7.744e+0032.351e+003

72726.953e+0047.744e+003-9.173e+003

72736.892e+004-6.595e+0037.591e+003

73736.150e+0046.595e+003-2.743e+003

73746.080e+004-5.517e+0031.167e+004

74745.343e+0045.517e+0032.463e+003

74755.288e+004-4.516e+0031.544e+004

75753.817e+0044.516e+003-1.150e+003

75763.787e+004-3.580e+0031.096e+004

76762.301e+0043.580e+003-4.359e+003

76772.281e+004-2.572e+0037.740e+003

77771.529e+0042.572e+0034.880e+002

77781.515e+004-1.581e+0039.102e+003

78787.642e+0031.581e+0032.161e+003

78797.579e+003-6.000e+0026.909e+003

79790.000e+0000.000e+000O.OOOe+OOO

79800.000e+0000.000e+000O.OOOe+OOO

80800.000e+000O.OOOe+OOOO.OOOe+OOO

80810.000e+000O.OOOe+OOOO.OOOe+OOO

81817.579e+003-6.000e+0026.909e+003

81827.642e+0031.581e+0032.161e+003

82821.515e+004-1.581e+0039.102e+003

82831.529e+0042.572e+0034.880e+002

83832.281e+004-2.572e+0037.740e+003

83842.301e+0043.58064-003-4359e+003

84843.787e+004-3.580e+0031.096e+004

84853.817e+0044.516e+003-1.151e+003

85855.288e+004-4.516e+0031.544e+004

85865.343e+0045.517e+0032.463e+003

86866.080e+004-5.51764-0031.167e+004

86876.150e+0046.595e+003-2.744e+003

87876.892e+004-6.595e4-0037.590e+003

87886.952e+0047.74464-003-9.175e+003

88887.695e+004-7.744e+0032.350e+003

88897.766e+0048.95164-003-1.560e+004

89898.512e+004-8.95164-003-2.648e+003

89908.574e+0041.006e+004-1.904e+004

90909.320e+004-1.006e+004-4.737e+003

90919.390e+0041.123e+004-2.127e+004

91911.014e+005-1.123e+004-5.388e+003

91921.020e+0051.24664-004-2.221e+004

92921.168e+005-1.246e+0041.247e+004

92931.175e+0051.375e+004-2.242e+003

93931.321e+005-1.375e+0043.215e+004

93941.329e+0051.492e+0042.201e+004

94941.474e+005-1.492e4-0045.388e+004

94951.483e+0051.615e+0044.698e+004

95951.624e+005-1.615e4-0048.495e+004

95961.634e+0051.710e+0048.179e+004

96961.634e+005-1.710e+0048.179e+004

96971.637e+0051.747e+0046.983e+004

97971.637e+0051.311e+0036.942e+004

97981.639e+005-9.396e+0027.080e+004

98981.639e+0059.396e+0027.080e+004

98991.643e+0052.161e-0037.286e+004

99991.643e+005-2.161e-0037.286e+004

991001.639e+0059.396e+0027.081e+004

1001001.639e+005-9.396e+0027.081e+004

1001011.637e+0051311e+0036.944e+004

1011011.637e+0051.747e+0046.985e+004

1011021.634e+005-1.710e+0048.194e+004

1021021.634e+0051.710e+0048.194e+004

1021031.624e+005-1.615e+0048.495e+004

1031031.483e+0051.615e+0044.698e+004

1031041.474e+005-1.492e+0045.390e+004

1041041.329e+0051.492e+0042.204e+004

1041051.321e+005-1.375e+0043.215e+004

1051051.175e+0051375e+004-2.242e+003

1051061.168e+005-1.246e+0041.248e+004

1061061.020e+0051.246e+004-2.220e+004

1061071.014e+005-1.123e+004-5.388e+003

1071079.390e+0041.123e+004-2.127e+004

1071089.320e+004-1.006e+004-4.737e+003

1081088.574e+0041.006e+004-1.904e+004

1081098.512e+004-8.951e+003-2.647e+003

1091097.766e+0048.951e+003-1.560e+004

1091107.695e+004-7.744e+0032.350e+003

1101106.952e+0047.744e+003-9.175e+003

1101116.892e+004-6.595e+0037.590e+003

1111116.150e+0046.595e+003-2.743e+003

1111126.080e+004-5.517e+0031.167e+004

1121125.343e+0045.517e+0032.463e+003

1121135.288e+004-4.516e+0031.544e+004

1131133.817e+0044.516e+003-1.150e+003

1131143.787e+004-3.580e+0031.096e+004

1141142301e+0043.580e+003-4359e+003

1141152.281e+004-2.572e+0037.740e+003

1151151.529e+0042.572e+0034.880e+002

1151161.515e+004-1.581e+0039.102e+003

1161167.642e+0031.581e+0032.161e+003

1161177.579e+003-6.000e+0026.909e+003

1171170.000e+0000.000e+0000.000e+000

1171180.000e+0000.000e+0000.000e+000

1181180.000e+0000.000e+0000.000e+000

1181190.000e+0000.000e+0000.000e+000

1191197.579e+003-6.000e+0026.909e+003

1191207.642e+0031.581e+0032.161e+003

1201201.515e+004-1.581e+0039.102e+003

1201211.529e+0042.572e+0034.880e+002

1211212.281e+004-2.572e+0037.740e+003

1211222.301e+0043.580e+003-4.359e+003

1221223.787e+004-3.580e+0031.096e+004

1221233.817e+0044.516e+003-1.151e+003

1231235.288e+004-4.516e+0031.544e+004

1231245.343e+0045.517e+0032.463e+003

1241246.080e+004-5.517e+0031.167e+004

1241256.150e+0046.595e+003-2.744e+003

1251256.892e+004-6.595e+0037.590e+003

1251266.952e+0047.744e+003-9.175e+003

1261267.695e+004-7.744e+0032.350e+003

1261277.766e+0048.951e+003-1.560e+004

1271278.512e+004-8.951e+003-2.648e+003

1271288.574e+0041.006e+004-1.904e+004

1281289.320e+004-1.006e+004-4.737e+003

1281299.390e+0041.123e+004-2.127e+004

1291291.014e+005-1.123e+004-5.388e+003

1291301.020e+0051.246e+004-2.221e+004

1301301.168e+005-1.246e+0041.247e+004

1301311.175e+0051375e+004-2.242e+003

1311311.321e+005-1.375e+0043.215e+004

1311321.329e+0051.492e+0042.201e+004

1321321.474e+005-1.492e+0045.388e+004

1321331.483e+0051.615e+0044.698e+004

1331331.624e+005-1.615e+0048.495e+004

1331341.634e+0051.710e+0048.179e+004

1341341.634e+005-1.710e+0048.179e+004

1341351.637e+0051.747e+0046.983e+004

1351351.637e+0051.311e+0036.941e+004

1351361.639e+005-9.397e+0027.080e+004

1361361.639e+0059.397e+0027.080e+004

1361371.643e+005-1.658e-0027.286e+004

1371371.643e+0051.658e-0027.286e+004

1371381.639e+0059396e+0027.081e+004

1381381.639e+005-9.396e+0027.081e+004

1381391.637e+0051311e+0036.943e+004

1391391.637e+0051.747e+0046.985e+004

1391401.634e+005-1.710e+0048.194e+004

1401401.634e+0051.710e+0048.194e+004

1401411.624e+005-1.615e+0048.495e+004

1411411.483e+0051.615e+0044.698e+004

1411421.474e+005-1.492e+0045390e+004

1421421.329e+0051.492e+0042.204e+004

1421431.321e+005-1.375e+0043.215e+004

1431431.175e+0051.375e+004-2.242e+003

1431441.168e+005-1.246e+0041.248e+004

1441441.020e+0051.246e+004-2.220e+004

1441451.014e+005-1.123e+004-5.387e+003

1451459390e+0041.123e+004-2.126e+004

1451469.320e+004-1.006e+004-4.733e+003

1461468.574e+0041.006e+004-1.904e+004

1461478.512e+004-8.951e+003-2.642e+003

1471477.766e+0048.951e+003-1.559e+004

1471487.696e+004-7.744e+0032.356e+003

1481486.953e+0047.744e+003-9.170e+003

1481496.892e+004-6.595e+0037.597e+003

1491496.150e+0046.595e+003-2.738e+003

1491506.081e+004-5.517e+0031.168e+004

1501505.343e+0045.517e+0032.470e+003

1501515.289e+004-4.516e+0031.545e+004

1511513.818e+0044.516e+003-1.146e+003

1511523.788e+004-3.580e+0031.096e+004

1521522.301e+0043.580e+003-4.358e+003

1521532.281e+004-2.572e+0037.743e+003

1531531.529e+0042.572e+0034.890e+002

1531541.515e+004-1.581e+0039.104e+003

1541547.643e+0031.581e+0032.162e+003

1541557.580e+003-6.000e+0026.910e+003

1551550.000e+0000.000e+0000.000e+000

155156O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

156156O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

156157O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

157157O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

157158O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

158158O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

158159O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

第16施工階段應力結果

階段累計應力:

主截面:

單元號左上緣左下緣右上緣右下緣

10000

20000

30000

40000

51.73-0.4521.170.505

62.880.06251.891.74

73.591.312.253.4

85.592.574.14.31

97.323.55.725.09

107.284.695.676.02

117.175.625.727

127.196.625.797.73

137.237.376.058.13

147.457.786.348.36

157.728.026.638.44

169.277.798.28.08

1710.67.629.717.78

1811.87.53117.59

1913.27.2111.26.17

2011.26.1710.96.53

2110.96.5510.96.52

2210.96.52116.47

23116.4710.96.52

2410.96.5210.96.55

2510.96.5311.26.17

2611.26.1713.27.21

27117.5911.87.53

289.717.7810.67.62

298.28.089.277.79

306.638.447.728.02

316.348.367.477.79

326.068.147.257.39

335.87.767.216.64

345.747.037.25.64

355.696.057.324.69

365.755.117.363.49

374.124.345.632.56

382.273.453.621.27

391.91.752.920.00164

401.190.4971.75-0.506

410000

420000

431.75-0.5061.190.497

442.920.001641.91.75

453.621.272.273.45

465.632.564.124.34

477.363.495.755.11

487324.695.696.05

497.25.645.747.03

507.216.645.87.76

517.257.396.068.14

527.477.796.348.36

537.728.026.638.44

549.277.798.28.08

5510.67.629.717.78

5611.87.53117.59

5713.27.2111.26.17

5811.26.1710.96.53

5910.96.5510.96.51

6010.96.51116.47

61116.4710.96.51

6210.96.5110.96.55

6310.96.5311.26.17

6411.26.1713.27.2

65117.5911.97.53

669.717.7810.67.62

678.28.089.287.79

686.638.447.728.02

696.358.367.477.79

706.078.147.257.39

715.817.767.216.64

725.747.037.25.64

735.696.057.324.69

745.755.117.363.49

754.124.345.632.56

762.273.453.621.27

771.91.752.920.00164

78

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