預(yù)制箱梁鋼絞線理論伸長值及壓力表讀數(shù)計算書

1、、鋼絞線伸長量計算1. 計算依據(jù) 公路橋涵施工技術(shù)規(guī)范中公式（12.8.3-1）； 公路橋涵施工技術(shù)規(guī)范中附錄 G-8預(yù)應(yīng)力筋平均張拉力的計算； 海濱大道北段二期（疏港三線立交蟶頭沽）設(shè)計圖紙 。2 計算公式：PpApE p(12.8.3-1)P(1e"T)kx(附錄G-8)conAp其中：x 從張拉端至計算截面的孔道長度（m）,取張拉端到跨中孔道長度;連續(xù)端非連續(xù)端N117.165N117. 325N217.205N217. 315N317.240N317. 300N417.270N417. 300N517.305N517. 275二一從張拉端至計算截面曲線孔道部分切線的夾角之和（

2、rad ）,取8.5o即0.148353rad;k 孔道每米局部偏差對摩擦的影響系數(shù)，本工程采用塑料波紋管，取0.0015 ;J 預(yù)應(yīng)力筋與孔道壁的摩擦系數(shù)，本工程采用叮jS 15.2mm高強(qiáng)低松弛鋼絞線及塑料波紋管孔道，根據(jù)圖紙取0.17 ;P 預(yù)應(yīng)力筋張拉端的張拉力（N）;Ap 預(yù)應(yīng)力筋的截面面積（mm）;con 張拉控制應(yīng)力（MPa，根據(jù)圖紙取0.73fpk ；P.預(yù)應(yīng)力筋平均張拉力（N）;L 預(yù)應(yīng)力筋的長度（mr）,取張拉端到跨中鋼絞線長度;中跨邊跨N117165N117325N217205N217315N317240N317300N417270N417300N517305N51727

3、5Ep 鋼絞線彈性模量，本工程采用Gs 15.2mm高強(qiáng)低松弛鋼絞線，根據(jù)試驗取51.9100 MPa （鋼絞線彈性模量檢測報告附后）-L 理論伸長值（mr）3伸長值計算連續(xù)端N1P =%onAp =0.73fpkAp =0.73 1860 140 4 =760368Np（1 ekx棚）760368x（1 ©".。佰從伽槍仃佃彳厶®）Pp =0.0015 17.165 0.17 0.148353= 741316.02NPpL741316.02 171651一 ApEp 一 140 4 1.91 105 _119.0mm連續(xù)端N2P =fAp =0.73fpkAp

4、=0.73 1860 140 4 =760368Np(1 _6-(心帕)760368工(1 _e-(0.0015>17.205七.17呦.148353)Pp :0.0015 17.205 0.17 0.148353)=741293.97NPpL741293.97 17205二 L5 = 119.2mmApEp 140咒4咒1.9仔105連續(xù)端N3P =；cOnAp =0.73fpkAp =0.73 1860 140 4 =760368NP(1 e'kx1)760368 (1 e".00157.24 溝.17".148353)PP =_0.0015 17.24

5、0.17 0.148353=741274.68NPpL741274.68 17240L =-= 二=119.5mmApEp140 4 1.91 105連續(xù)端N4P = ；丁con Ap = 0.73 fpkAp =0.73 I860 140 4 - 760368NP(1 -e”T)760368 (1 七迎°01517'7 °17 °.148353)0.0015 17.27 0.17 0.148353-741258.14NPpL741258-14 172750.119.7mmApEp 140 4 1.91 105連續(xù)端N5P =；conAp =0.73fpk

6、Ap =0.73 1860 140 4 =760368Np(1 _e_(kx4B)760368工(1 _/。.。曲曲亦七.174.148353)P°0.0015 17.305 0.17 0.148353= 741238.85NPpLL 二Ap Ep741238-85 173°5"9.9mm5140 4 1.91 10非連續(xù)端N10.0015 17.325 0.17 0.148353= 741227.83N旦Ap Ep741227-83 17325 = 120.1mm5140 4 1.91 10非連續(xù)端N2P yonAp =0.73 fpkAp =0.73 1860

7、 140 4 - 760368Np(760368x (°.00117.31°.10.148353)Pp :0.0015 17.315 0.17 0.148353=74123334 N業(yè)Ap Ep741233.34 173155 =120.0mm140 4 1.91 105非連續(xù)端N3P =；：conAp =0.73fpkAp =0.73 1860 140 4 =760368Np(1 帕)760368乂 (o.00157320.1®.148353)PP :Pcon Ap =0.73 fpkAp =0.73 1860 140 4 - 760368N741241.61N

8、p(1 eKx加)760368乂 ( (o.001173.17"0.148353)0.0015 17.3 0.17 0.148353PP =_PpLAp Ep741241.61 17300140 4 1.91 105= 119.9mmP(1 e" T)kx-926552.01N非連續(xù)端N4P -； conAP =0.73fpkAp =0.73 1860 140 5 = 950460N950460 口蟲“.0015 17.3 0.17 0.148353)0.0015 17.3 0.17 0.148353PpLAp Ep926552.01 173005-140 5 1.91 1

9、0=119.9mm非連續(xù)端N5P = conAp =0.73fpkAp =0.73 1860 140 5 =950460N0.0015 17.275 0.17 0.14835 = 926569-24Nn P(1e"T)950460( e40.0°15 17.275 0.17 0.148353)PP :P kx 乃PpL=119.7mm926569.24 17275140 5 1.91 105由以上計算結(jié)果得出： 中跨箱梁理論伸長值如下N1 =119.0 2 =238.0mmN2 =119.2238.4mmN 3 =119.5 2 =239.0mmN4 =119.7 2 =

10、239.4mmN5 =119.9 2 = 239.8mm 邊跨箱梁理論伸長值如下N1 =119.0 120.1 =239.1mmN2 =119.2120.0 = 239.2mmN3 =119.5 119.9 =239.4mmN4 =119.7119.9 =239.6mmN5 =119.9 119.7 =239.6mm二、壓力表讀數(shù)計算1. 計算依據(jù) 海濱大道北段二期（疏港三線立交蟶頭沽）設(shè)計圖紙； 千斤頂標(biāo)定報告09-JZ163178；（報告附后）2. 計算公式千斤頂力與壓力表讀數(shù)對應(yīng)關(guān)系如下式：y = ax b其中：y 千斤頂力（KN;x 壓力表讀數(shù)（MPa；a , b 常系數(shù)。力與應(yīng)力關(guān)系

11、如下式：P UonAp各項代表意義同伸長值計算。3. 油表讀數(shù)計算1#油泵，千斤頂編號090201,壓力表編號1269;千斤頂證書號：09-JZ163y = 19.19X + 6.46892R = 0.9998由上圖可知：y =19.19x 6.4689，則壓力表讀數(shù)計算如下:4束鋼絞線：P =0.73 1860 140 4 =760368N =760.368KN15%空制應(yīng)力時：y=0.15P=0.15 760.368 =114.06KN=5.6Mpay -6.4689114.06-6.4689X 二19.19 19.1930%空制應(yīng)力時:y = 0.3P 二 0.3 760.368 二 2

12、28.11KN乂二/28.11 -6.4689 19.19 19.19100%空制應(yīng)力時:y = P = 760.368KNy - 6.4689760.368 -6.4689x =19.1919.19= 39.3Mpa5束鋼絞線:= 0.73 1860 140 5 =950460N =950.46KN15%空制應(yīng)力時:y = 0.15P = 0.15 950.46 = 142.57KN19.1919.19一 30%空制應(yīng)力時:y=0.3P=0.3 950.46 = 285.14KNy - 6.4689285.14 -6.4689X 二=14.5Mpa19.1919.19100%空制應(yīng)力時：y=

13、P =950.46KNy 6.4689950.46 -6.4689X -=49.2Mpa19.1919.192#油泵，千斤頂編號090202,壓力表編號9023;千斤頂證書號：09-JZ166y = 19.065X + 2.2376R = 0.9999由上圖可知：y =19.065x 2.2376，則壓力表讀數(shù)計算如下:4束鋼絞線：P =0.73 1860 140 4 =760368N -760.368KN15%空制應(yīng)力時:y=0.15P=0.15 760.368 =114.06KN30%空制應(yīng)力時:100%空制應(yīng)力時:5束鋼絞線:y -2.237619.065114.06 -2.237619

14、.065=5.9Mpay=0.3P=0.3 760.368 =228.11KNy -2.2376228.11 -2.2376x 二19.06519.065y = P =760.368KN二 11.8Mpay -2.2376760.368 -2.2376x =19.06519.065= 39.8MpaP =0.73 1860 140 5 =950460N =950.46KN15%空制應(yīng)力時：y = 0.15P 二 0.15 950.46 二 142.57KNy -2.2376142.57 -2.2376x =19.06519.065二 7.4Mpa30%空制應(yīng)力時:y=0.3P=0.3 950.

15、46 = 285.14KN=14.8Mpay -2.2376285.14 -2.2376x = 19.06519.065100%空制應(yīng)力時：y = P = 950.46 KN=49.7Mpay -2.2376950.46 -2.2376x = 19.06519.065 3#油泵，千斤頂編號090302,壓力表編號1259；千斤頂證書號：09-JZ168y = 19.193x + 1.3431R2 = 0.9998由上圖可知：y =19.193x 1.3431，則壓力表讀數(shù)計算如下:4束鋼絞線:P =0.73 1860 140 4 =760368N =760.368KN15%空制應(yīng)力時:y=0.

16、15P=0.15 760.368 =114.06KNy -1.343119.193114.06-1.343119.193=5.9Mpa30%空制應(yīng)力時:y 二 0.3P 二 0.3 760.368 二 228.11KN二 11.8Mpay -1.3431228.11 -1.3431x 二19.193 19.193100%空制應(yīng)力時:y = P = 760.368KNy-1.3431760.368 -1.3431“x39.5Mpa19.19319.1935束鋼絞線：P =0.73 1860 140 5 =950460N =950.46KN15%空制應(yīng)力時：y = 0.15P = 0.15 950

17、.46 = 142.57KNy -1.3431142.57 -1.3431x7.4Mpa19.19319.19330%空制應(yīng)力時:y=0.3P=0.3 950.46 = 285.14KN二 14.8Mpa=49.5Mpay -1.3431285.14 -1.3431x =19.193 19.193100%空制應(yīng)力時:y = P = 950.46KNy -1.3431950.46 -1.3431x =19.193 19.193 4#油泵，千斤頂編號090303,壓力表編號8823；千斤頂證書號：09-JZ170y = 19.047x + 2.1925R2 = 0.9999由上圖可知：y =19.

18、047x2.1925，則壓力表讀數(shù)計算如下:4束鋼絞線：P =0.73 1860 140 4 =760368N =760.368KN15%空制應(yīng)力時：y=0.15P=0.15 760.368 =114.06KNy2.1925他.06 2.1925 'Mpa19.04719.04730%空制應(yīng)力時:二 0.3P 二 0.3 760.368 二 228.11KN-2.1925228.11 -2.1925"19.04719.04711.9Mpa100%空制應(yīng)力時:y = P = 760.368KN5束鋼絞線:y -2.1925760.368 -2.1925x =19.04719.0

19、47= 39.8MpaP =0.73 1860 140 5 =950460N =950.46KN15%空制應(yīng)力時:y = 0.15P = 0.15 950.46 = 142.57KN19.04742.57 2.1925 "4Mpa19.04730%空制應(yīng)力時:y=0.3P=0.3 950.46 = 285.14KNy -2.192519.047285.14 -2.192519.047=14.9Mpa100%空制應(yīng)力時:P =950.46KNy -2.1925950.46 2.192519.04719.047=49.8Mpa千斤頂證書號：09-JZ171y = 19.071x - 0.

20、6931R2 = 0.9998= 19.071x-0.6931，則壓力表讀數(shù)計算如下:y °.6931 114.06 °.6931 =6.0Mpax =19.07119.071 5#油泵，千斤頂編號090304,壓力表編號1199;由上圖可知：y4束鋼絞線:= 0.73 1860 140 4 =760368N -760.368KN15%空制應(yīng)力時:y=0.15P=0.15 760.368 =114.06KN30%空制應(yīng)力時:y=0.3P=0.3 760.368 =228.11KNy 0.6931228.11 0.6931x 二19.07119.071二 12.0Mpa100

21、%空制應(yīng)力時:y = P =760.368KNy 0.6931760.368 0.6931x =19.07119.071= 39.9Mpa5束鋼絞線:P =0.73 1860 140 5 =950460N =950.46KN15%空制應(yīng)力時:y = 0.15P 二 0.15 950.46 二 142.57KNy 0.6931142.57 0.693119.07119.071二 7.5Mpa30%空制應(yīng)力時:y=0.3P=0.3 950.46 = 285.14KNy 0.6931285.14 0.6931x =19.07119.071100%空制應(yīng)力時：y = P = 950.46 KNy 0.

22、6931950.46 0.6931x = 19.07119.071 6#油泵，千斤頂編號090305,壓力表編號9523；二 15.0Mpa=49.9Mpa千斤頂證書號：09-JZ173y = 19.311x + 1.4319R = 0.9998由上圖可知：y =19.311x 1.4319，則壓力表讀數(shù)計算如下:4束鋼絞線:P =0.73 1860 140 4 =760368N =760.368KN15%空制應(yīng)力時:y=0.15P=0.15 760.368 =114.06KNy -1.431919.311114.06-1.431919.311=5.8Mpa30%空制應(yīng)力時:y 二 0.3P

23、二 0.3 760.368 二 228.11KNy -1.4319228.11 -1.4319x 二19.311 19.311二 11.7Mpa100%空制應(yīng)力時:y = P = 760.368KN5束鋼絞線：15%空制應(yīng)力時:30%空制應(yīng)力時:100%空制應(yīng)力時:y -1.4319x =19.311760.368 -1.431919.311=39.3MpaP =0.73 1860 140 5 =950460N =950.46KNy = 0.15P = 0.15 950.46 = 142.57KNy -1.4319142.57 -1.4319x =19.311=19.311= 7.3Mpay=

24、0.3P=0.3 950.46 = 285.14KNy -1.4319285.14 -1.4319x 二19.311 19.311二 14.7Mpay = P = 950.46KNy -1.4319950.46 -1.4319x =19.311 19.311=49.1Mpa 7#油泵，千斤頂編號090306,壓力表編號1089；千斤頂證書號：09-JZ175y = 19.351x + 3.5574R2 = 0.9999由上圖可知：y =19.3513.5574，則壓力表讀數(shù)計算如下:4束鋼絞線：P =0.73 1860 140 4 =760368N =760.368KN15%空制應(yīng)力時：y=0

25、.15P=0.15 760.368 =114.06KNy 3.5574114.063.5574 二 5.7Mpa19.35119.35130%空制應(yīng)力時:二 0.3P 二 0.3 760.368 二 228.11KN3.5574228.113.557419.35119.35111.6Mpa100%空制應(yīng)力時:y = P = 760.368KNy 3.5574760.368 3.557419.35119.351= 39.1Mpa5束鋼絞線:P =0.73 1860 140 5 =950460N =950.46KN15%空制應(yīng)力時:y = 0.15P = 0.15 950.46 = 142.57K

26、N574 UZppa19.35119.35130%空制應(yīng)力時:y=0.3P=0.3 950.46 = 285.14KN=14.6Mpay 3.557285.143.557419.35119.351100%空制應(yīng)力時:P =950.46KNy 3.5574950.463.5574x =19.35119.351=48.9Mpa 8#油泵，千斤頂編號090309,壓力表編號3239;千斤頂證書號：09-JZ177y = 19.079X - 0.3843R2 = 0.9999由上圖可知：y =19.0790.3843，則壓力表讀數(shù)計算如下:4束鋼絞線:P =0.73 1860 140 4 =760368N -760.368KN15%空制應(yīng)力時:y=0.15P=0.15 760.368 =114.