預(yù)應(yīng)力張拉伸長量計算書后張法

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：1PpL丄(12.8.3-1)ApEpP(1 e_(kx"'M)Pp =( & “)(附錄 G-8)P =二 con Ap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.

2、 275二從張拉端至計算截面曲線孔道部分切線的夾角之和（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 ；，一預(yù)應(yīng)力筋與孔道壁的摩擦系數(shù)，本工程采用：jS15.2mm高強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）;專業(yè)word可編輯Ap 預(yù)應(yīng)力筋的截面面積（mm2）;二con 張拉控制應(yīng)力（MPa）,根據(jù)圖紙取0.73fpk ;Pp 預(yù)應(yīng)力筋平均張拉力（N）;中跨邊跨N117165N117325N217205N217315N317240N317300N417270N417300N

3、517305N517275L 預(yù)應(yīng)力筋的長度 （mm ），取張拉端到跨中鋼絞線長度Ep 鋼絞線彈性模量，本工程采用：s 15.2mm高強低松弛鋼絞線，根據(jù)試驗取51.9110 MPa ;（鋼絞線彈性模量檢測報告附后 ）=L 理論伸長值 （mm ）。3 伸長值計算連續(xù)端N1P conAp =0.73 fpkAp =0.73 1860 140 4 = 760368 NP（1弋曲心）kx -（0.0015）17.165 0.10.148353） x_ 760368 （1 -e丿）0.0015 17.165 0.17 0.148353=741316.02NPpL741316.02 17165140 4

4、 1.91 105=119.0mm連續(xù)端N2P _；conAp =0.73 fpkAp =0.73 1860 140760368 NP（1 -e 宀）760368（1 _e"001517205 °17 0148353） Pp :0.0015 17.2050.17 0.148353= 741293.97NPpL741293,97 17201191一 ApEp " 140 4 1.91 105連續(xù)端N3P =；：. c°nAp =0.73 fpkAp =0.73 1860 140 4 = 760368 Npk' 'pc P（1 -e"

5、;宀）760368（e40'0015 17'24 0'17 0'148353）ppkx0.0015 17.24 0.170.148353741274.68 NPpL741274,68 17240 “mme©櫛）760368 況仆一e0.0015517.27舸17148353） Pp :kx0.0015 17.270.17 0.148353741258.14N1一 ApEp " 140 4 1.91 105 連續(xù)端N4pk 'pp =7conAp =0.73 fpkAp =0.73 1860 140 4=760368NPpL741258

6、.14 17270卩仆760368 乂 仆 _e"0015X|7.305 七仃也148353）pp :kx0.0015 17.3050.17 0.148353-741238.85NL吐Ap Ep741238.85 173055 =119.9mm140 4 1.91 105非連續(xù)端N1P 二匚conAp =0.73 fpkAp =0.73 1860 140 4 = 760368 Npk' 'pp p（1 ©壬収勉）760368 仆e"001517325 0.17 0148353）0.0015 17.3250.17 0.148353-741227.83

7、N=L5 二 119.7mmApEp140n.91x105 連續(xù)端N5pk' 'pP =：；conAp =0.73 fpkAp =0.73 1860 140 4=760368N非連續(xù)端741227-83 17325 =120.1mm140 4 1.91 105N2P '- con，'pAp =0.73 fpkAp =0.73 1860 140760368 N(kx ). .(0.0015 17.315 0.17 0.148353)、P(1 e 加)760368 x(1 e)Pp :kx0.0015 17.3150.17 0.148353-741233.34 NA

8、p Ep741233-34 17315 = 120.0mm5140 4 1.91 10非連續(xù)端N3pk' 'pP =：；cOnAp =0.73 fpkAp =0.73 1860 140760368 NP(1 -e")760368(1 _嚴(yán)5173 °17。心)pp :kx0.0015 17.3 0.17 0.148353741241.61N旦ApEp741241B1 17300 =119.9mm5140 4 1.91 10非連續(xù)端N4P = %onAp =0.73fpkAp =0.73 1860 140950460NPp 二926552.01NP(1_e*

9、T)950460 仆 _屮0.0015173 0.17 0.148353)0.0015 17.3 0.17 0.148353PpLL -ApEp92655201 173005 =119.9mm140 5 1.91 10非連續(xù)端N5P mconAp =0.73fpkAp =0.73 1860 140 5 = 950460NPp 二P(1-e* T)950460 仆 _/0001517275 0.17 0.148353)0.0015 17.2750.17 0.148353926569.24 NPpL926569.24 172755 =119.7mmApEp140 5 1.91 105由以上計算結(jié)果

10、得出 中跨箱梁理論伸長值如下：N1J19.0 2 = 238.0mmN2 =119.2 2= 238.4mmN3 =119.5 2 = 239.0mmN4 =119.7 2 = 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 =119.2 120.0 = 239.2mmN3 =119.5 119.9 = 239.4mmN4 =119.7 119.9 = 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

11、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)系如下式：-conAp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 + 6.4689R2 = 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%控制應(yīng)力時y=0.15P=0.1

12、5 760.368 W4.06KNxggg4。6 一 6.4689 = 5.6Mpa19.1919.1930%控制應(yīng)力時y=0.3P=0.3 760.368 = 228.11KNy - 6.4689 _ 228.11 -6.468919.19 一19.1911.5M pa100%控制應(yīng)力時y = P =760.368KNX=ggg= 760.368-6.468919.1919.19二 39.3Mpa5束鋼絞線:P=0.73 1860 140 5 = 950460N = 950.46KN15%控制應(yīng)力時：x30%控制應(yīng)力時：x =100%控制應(yīng)力時：y -6.468919.19285.14-6.

13、468919.19=14.5M pay=0.15P=0.15 950.46 =142.57KNy - 6.4689142.57-6.46897.1M pa 19.1919.19y =0.3P =0.3 950.46 =285.14KNy 二 P 二 950.46KNy -6.4689950.46-6.468949.2Mpa19.1919.192#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 = 0.999910009008007006005004003002001000 *0.05.010.015.020.025

14、.030.035.040.045.050.055.0壓力表讀數(shù)（Mpa由上圖可知：y =19.065x2.2376 ,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%控制應(yīng)力時：y=0.15P=0.15 760.368 =114.06KN19.06519.06530%控制應(yīng)力時:100%控制應(yīng)力時:5束鋼絞線:15%控制應(yīng)力時：y=0.3P=0.3 760.368 =228.11KN19.06519.06519.065y = P = 760.368KNy - 2.2376 _ 760.368 - 2.237619.065

15、19.06519.065= 39.8MpaP-0.73 1860 140 5 = 950460N = 950.46KNy=0.15P=0.15 950.46 =142.57KN30%控制應(yīng)力時：100%控制應(yīng)力時:19.06519.06519.065y =0.3P =0.3 950.46 =285.14KN19.06519.06519.065y - 2.2376950.46-2.2376y = P = 950.46KNx 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 = 0.999

16、810009008007006005004003002001000*IIIIIII0.05.010.015.020.025.030.035.040.045.050.055.0壓力表讀數(shù)（Mpa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%控制應(yīng)力時：y=0.15P=0.15 760.368 =114.06KN19.193 19.19330%控制應(yīng)力時:y=0.3P=0.3 760.368 =228.11KN19.193= 11.8Mpay -1.3431228.11 -1

17、.3431x 二19.193100%控制應(yīng)力時：二 39.5Mpa5束鋼絞線:P=0.73 1860 140 5 = 950460N = 950.46KN15%控制應(yīng)力時：y = P =760.368KN19.193x'".343160.368 1.343119.193y=0.15P=0.15 950.46 =142.57KN19.1 93二 7.4M pax = y"3431 J42.57"343119.19330%控制應(yīng)力時:y =0.3P =0.3 950.46 =285.14KN100%控制應(yīng)力時x-心31 瀝14".3431 19.19

18、319.193-14.8M pa=P = 950.46KN950.46-1.343119.19319.193二 49.5Mpa壓力表編號8823 ;4#油泵，千斤頂編號090303 ,由上圖可知：y =19.047x2.1925 ,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%控制應(yīng)力時y=0.15P=0.15 760.368 =114.06KNx=y-21925 = 114.06-2.1925 =5.9Mpa19.04719.04730%控制應(yīng)力時y=0.3P=0.3 760.368 = 228.11KN100%控制

19、應(yīng)力時5束鋼絞線:15%控制應(yīng)力時：y-21925 = 228.11-2.1925 = 11.9Mpa19.04719.047y = P =760.368KNy -2.1925760.368-2.192519.04719.047= 39.8MpaP=0.73 1860 140 5 = 950460N = 950.46KNy=0.15P=0.15 950.46 =142.57KNx= 14257-2.1925 = 7.4Mpa19.04719.04730%控制應(yīng)力時:y=0.3P=0.3 950.46 =285.14KNy -2.1925285.14-2.1925x 二19.04719.047二

20、 14.9M pa100%控制應(yīng)力時y = P = 950.46KNy -2.192519.047950.46-2.192519.047= 49.8Mpa5#油泵，千斤頂編號090304 ,壓力表編號1199 ;千斤頂證書號：09-JZ171y = 19.071X - 0.6931R2 = 0.9998由上圖可知：y =19.071x-0.6931 ,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%控制應(yīng)力時：y=0.15P=0.15 760.368 F14.06KNy 0.693119.071114.06 0.6931

21、19.071=6.0M pa30%控制應(yīng)力時：y=0.3P=0.3 760.368 = 228.11KNy 0.6931228.11 0.693119.07119.071=12.0M pa100%控制應(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%控制應(yīng)力時：y=0.15P=0.15 950.46 =142.57KNy 0.6931142.57 0.693119.07119.071=7.5Mpa30%控制應(yīng)力時:= 0.

22、3P=0.3 950.46 =285.14KN0.6931285.14 0.693119.07119.071二 15.0M pa100%控制應(yīng)力時=P = 950.46KNy 0.6931950.46 0.693119.07119.071=49.9Mpa 6#油泵，千斤頂編號090305 ,壓力表編號9523 ;x專業(yè)word可編輯千斤頂證書號：09-JZ173y = 19.311X + 1.4319R = 0.9998由上圖可知：y =19.311x 44319 ,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%控制應(yīng)

23、力時y=0.15P=0.15 760.368 =114.06KN= 5.8M pa19.311x”1.43194.06.431919.31130%控制應(yīng)力時y=0.3P=0.3 760.368 =228.11KN迅1空11亦19.31119.311100%控制應(yīng)力時y = P = 760.368KNx=1760363W19.31119.31139.3Mpa5束鋼絞線:P=0.73 1860 140 5 = 950460N = 950.46KN15%控制應(yīng)力時：y=0.15P=0.15 950.46 =142.57KNy -1.4319142.57-1.4319x7.3Mpa19.31119.3

24、1130%控制應(yīng)力時：y =0.3P =0.3 950.46 “85.14KNy -1.4319285.14-1.4319x14.7M pa19.31119.311y = P = 950.46KNy -1.4319x =19.3117#油泵，千斤頂編號090306 ,95°.46".4319 =49.1Mpa19.311壓力表編號1089 ;千斤頂證書號：09-JZ175y = 19.351X + 3.5574R2 = 0.9999100%控制應(yīng)力時：由上圖可知：y =19.351x-3.5574 ,則壓力表讀數(shù)計算如下：4束鋼絞線：P = 0.73 1860 140 4

25、= 760368N = 760.368KN15%控制應(yīng)力時：y =0.150.15 760.368 =114.06KNy 3.557419.351114.06 3.557419.351二 5.7M pa30%控制應(yīng)力時y=0.3P=0.3 760.368 =228.11KN11.6Mpay 3.5574228.11 3.557419.351 二 19.351100%控制應(yīng)力時：y = P =760.368KN5束鋼絞線:y 3.557419.351760.368 3.557419.351二 39.1MpaP=0.73 1860 140 5 = 950460N = 950.46KN15%控制應(yīng)力

26、時：y=0.15P=0.15 950.46 =142.57KNy 3.557419.35114257 3.557419.351二 7.2M pa30%控制應(yīng)力時:y =0.3P =0.3 950.46 =285.14KNy 3.55719.351285.14 3.557419.351=14.6M pa100%控制應(yīng)力時:y = P = 950.46KNy 3.557419.351950.46 3.557419.351二 48.9Mpa8#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專業(yè)word可編輯由上圖可知：y "9.079X0.3843 ,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%控制應(yīng)力時y=0.15P=0.15 760.368 =1