預(yù)應(yīng)力張拉伸長(zhǎng)量計(jì)算書后張法

1、、鋼絞線伸長(zhǎng)量計(jì)算1.計(jì)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(jì)算； 海濱大道北段二期（疏港三線立交蟶頭沽）設(shè)計(jì)圖紙2.計(jì)算公式:L-Pp (12.8.3-1)ApEpPp叫el（附錄G-8）P conAp其中：x 從張拉端至計(jì)算截面的孔道長(zhǎng)度（m）,取張拉端到跨中孔道長(zhǎng)度;連續(xù)端非連續(xù)端N117.165N117. 325N217.205N217. 315N317.240N317. 300N417.270N417. 300N517.305N517. 275從張拉端至計(jì)算截面曲線孔道部分切線的夾角之和（rad）,取8.50即0

2、.148353rad;k 孔道每米局部偏差對(duì)摩擦的影響系數(shù)，本工程采用塑料波紋管，取0.0015 ；預(yù)應(yīng)力筋與孔道壁的摩擦系數(shù)，本工程采用s15.2mm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（mm2;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）;L 預(yù)應(yīng)力筋的長(zhǎng)度（mm,取張拉端到跨中鋼絞線長(zhǎng)度;中跨邊跨N117165N117325N217205N217315N317240N317300N417270N417300N517305N517275Ep 鋼絞線彈性模量，本工程采用s 1

3、5.2mm高強(qiáng)低松弛鋼絞線，根據(jù)試驗(yàn)取1.91 105 MPa（鋼絞線彈性模量檢測(cè)報(bào)告附后）L 理論伸長(zhǎng)值（mr）3.伸長(zhǎng)值計(jì)算連續(xù)端N1conAp 0.73 fpkAp 0.73 1860140 4760368 NPpP(1 e (kx )760368 (1 ekx(0.0015 17.165 0.17 0.148353)741316.02N0.0015 17.165 0.17 0.148353PpLAp E P7413162 Gs5 119.0mm140 4 1.91 105連續(xù)端N2conAp 0.73 f pkAp 0.73 1860 140 4 760368 NPpP(1 e (kx

4、 )760368 (1 ekx(0.0015 17.205 0.17 0.148353)0.0015 17.2050.17 0.148353741293.97NPpLAp E pPpP(1 e (kx )760368 (1 ekx(0.0015 17.24 0.17 0.148353)0.0015 17.240.17 0.148353741274.68N74129397 仃205119.2mm140 4 1.91 10連續(xù)端N3conAp 0.73 fpkAp 0.73 1860 140 4 760368 NPpLApEp741274.68 仃筆。119.5mm140 4 1.91 10 連續(xù)

5、端N4conAp 0.73 fpkAp 0.73 1860 140 4 760368 NPpP(1 e(kx)760368 (1 e 卩0015 17.27 0.17 148353)kx)0.0015 17.270.17 0.148353741258.14NPpLAp Ep了412584 172750119.7mm140 4 1.91 105 連續(xù)端N5conAp 0.73 fpkAp 0.73 1860 140 4 760368 NPpP(1 e (kx)760368 (1 ekx(0.0015 17.305 0.17 0.148353)0.0015 17.3050.17 0.1483537

6、41238.85NPpLAp E p74123885 仃305119.9mm140 4 1.91 105非連續(xù)端N1conAp 0.73 f pkAp 0.73 1860 140 4 760368 NPpf(kx )、 rccccc ”(0.0015 17.325 0.17 0.148353)P(1 e )760368 (1 e ()kx0.0015 17.3250.17 0.148353 -741227.83NPpLAp E p741227.83 173255120.1mm140 4 1.91 105非連續(xù)端N2conAp 0.73 fpkAp 0.73 1860 140 4 760368

7、NPpf(kx )、 rccccc ”(0.0015 17.315 0.17 0.148353)P(1 e )760368 (1 ekx)741233.34N0.0015 17.3150.17 0.148353PpLApEp74123334 仃汽5 120.0mm140 4 1.91 10非連續(xù)端N3conAp 0.73 fpkAp 0.73 1860 140 4 760368 NPp_ . .(kx )、.(0.0015 17.3 0.17 0.148353)P(1 e(3760368 (1 e (3kx0.0015 17.3 0.17 0.148353 741241.61NPpLAp Ep

8、741241.61 仃30?119.9mm140 4 1.91 10非連續(xù)端N4conA p0.73f pkAp0.73 1860 140 5 950460 NPp950460(1 e(0.0015 17.3 0.17 5) 926552.01Nkx0.0015 17.3 0.17 0.148353L 旦 92655201 17300 119.9mmApEp 140 5 1.91 105非連續(xù)端N5conA P0.73f pkAp0.73 I860 140 5 950460 NPpP(1 e(kX )950460 (1 嚴(yán)015 17.275 0.17 0.148353)926569.24 N

9、kx0.0015 17.2750.17 0.148353旦 92656924 r 119.7mmApEp 140 5 1.91 105由以上計(jì)算結(jié)果得出：中跨箱梁理論伸長(zhǎng)值如下：N1119.02238.0mmN2119.22238.4mmN3119.52239.0mmN4119.72239.4mmN5119.92239.8mm邊跨箱梁理論伸長(zhǎng)值如下N1119.0120.1239.1mmN2119.2120.0239.2mmN3119.5119.9239.4mmN4119.7119.9239.6mmN5119.9119.7239.6mm、壓力表讀數(shù)計(jì)算1. 計(jì)算依據(jù)海濱大道北段二期（疏港三線立交

10、蟶頭沽）設(shè)計(jì)圖紙千斤頂標(biāo)定報(bào)告09-JZ163178；（報(bào)告附后）2. 計(jì)算公式千斤頂力與壓力表讀數(shù)對(duì)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：A con p各項(xiàng)代表意義同伸長(zhǎng)值計(jì)算。3. 油表讀數(shù)計(jì)算 1 #油泵，千斤頂編號(hào) 090201，壓力表編號(hào) 1269；y = 19.19X + 6.4689R2 = 0.9998千斤頂證書號(hào)：09-JZ1635.010.015.020.025.030.035.040.045.050.055.0壓力表讀數(shù)（Mpa冗冗冗冗冗冗冗冗冗冗o09876543 21b (點(diǎn)定檢2#油泵

11、，千斤頂編號(hào)090202,壓力表編號(hào)9023;由上圖可知：y19.19X 6.4689，則壓力表讀數(shù)計(jì)算如下:4束鋼絞線:P 0.73 1860 140 4 760368N760.368KN15%空制應(yīng)力時(shí):y 6.468919.19y 0.15P 0.15 760.368114.06KN114.06 6.46895.6M pa19.1930%空制應(yīng)力時(shí):y 0.3 P 0.3 760.368228.11KNy 6.468919.19228.11 6.4689 11.5M pa19.19P 760.368KNy 6.468919.19760.368 6.468939.3Mpa19.195束鋼絞

12、線：P 0.73 I860 140 5 950460N950.46KN15%空制應(yīng)力時(shí):y 0.15 P 0.15 950.46142.57KNy 6.4689142.57 6.468919.1919.197.1M pa30%空制應(yīng)力時(shí):y 0.3 P0.3 950.46285.14KNy 6.468919.19285.14 6.468914.5M pa19.19100%空制應(yīng)力時(shí):P 950.46KNy 6.468919.19950.46 6.468949.2M pa19.19千斤頂證書號(hào)：09-JZ166900y = 19.065X + 2.2376F2 = 0.9999b (點(diǎn)定檢壓力表

13、讀數(shù)（Mpa由上圖可知：y19.065X2.2376，則壓力表讀數(shù)計(jì)算如下:4束鋼絞線:P 0.731860 140 4 760368N760.368KN15%空制應(yīng)力時(shí):2.2376y19.06530%空制應(yīng)力時(shí):0.15P 0.15 760.368114.06KN114.06 彳23765.9M pa19.065y 2.237619.065y 2.237619.065y 0.3 P 0.3 760.368228.11KN 228.11 2.237611.8M pa19.065P 760.368KN760.368 2.237639.8Mpa19.0655束鋼絞線：P 0.731860 140

14、 5 950460N950.46KN15%空制應(yīng)力時(shí):0.15 P 0.15 950.46142.57KN2.2376142.57 2.2376y19.06519.0657.4Mpa30%空制應(yīng)力時(shí):y 0.3 P0.3 950.46285.14KNy 2.237619.065100%空制應(yīng)力時(shí):285.14 彳237614.8M pa19.065y 2.237619.065P 950.46KN950.46 彳237649.7M pa19.0653#油泵，千斤頂編號(hào)090302,壓力表編號(hào)1259；b (點(diǎn)定檢千斤頂證書號(hào)：09-JZ168壓力表讀數(shù)（Mpay = 19.193X + 1.34

15、31R2 = 0.9998O o冗冗冗冗冗冗冗冗冗冗O0987654321由上圖可知：y19.193X 1.3431，則壓力表讀數(shù)計(jì)算如下:15%空制應(yīng)力時(shí):4束鋼絞線:P 0.73 1860 140 4 760368N760.368KN15%空制應(yīng)力時(shí):y 0.15P 0.15 760.368114.06KNy 1.343119.193114.06 曲1 5.9M pa19.19330%空制應(yīng)力時(shí):y 0.3 P 0.3 760.368228.11KNy 1.343119.193228.11 1.343119.19311.8 Mpa100%空制應(yīng)力時(shí):P 760.368KNy 1.34311

16、9.193760.368 1.343119.19339.5M pa5束鋼絞線:P 0.73 1860140 5 950460N950.46KNy 0.15 P0.15 950.46142.57KNX山購(gòu)氓丄密7.4M pa19.19319.19330%空制應(yīng)力時(shí):y 0.3 P0.3 950.46285.14KN15%空制應(yīng)力時(shí):y 0.15P 0.15 760.368114.06KNy 1.3431x 19.193285.14 1.343114.8M pa19.193100%空制應(yīng)力時(shí):x y 1.343119.193P 950.46KN950.46 1.343149.5M pa19.193

17、090303,壓力表編號(hào)8823;4#油泵，千斤頂編號(hào)由上圖可知：y 19.047X 2.1925，貝9壓力表讀數(shù)計(jì)算如下:4束鋼絞線:P 0.73 1860 140 4 760368N760.368KN30%空制應(yīng)力時(shí):100%空制應(yīng)力時(shí):5束鋼絞線:15%空制應(yīng)力時(shí):30%空制應(yīng)力時(shí):y 2.1925114-06 2.19255.9Mpa19.04719.047y 0.3 P 0.3 760.368228.11KNy 2.192519.047228.11 2.192519.04711.9 Mpay 2.192519.0470.7318600.15 PP 760.368KN760.368 2

18、.192519.047140 5 950460N2.1925x 19.047y 0.3 Py 2.1925x 19.04739.8 Mpa950.46KN0.15 950.46142.57KN血57 2.19257.4M pa19.0470.3 950.46285.14KN285.14 2.192514.9M pa19.04719.047X y 2.1925 空心竺5 49.8M pa 19.0475#油泵，千斤頂編號(hào)090304,壓力表編號(hào)1199;千斤頂證書號(hào)：09-JZ171y = 19.071X - 0.6931F2 = 0.9998b (點(diǎn)定檢ooooo oooo o ooooo o

19、ooo 98765 4321壓力表讀數(shù)（Mpa由上圖可知：y 19.071X 0.6931，則壓力表讀數(shù)計(jì)算如下:4束鋼絞線：P 0.73 1860 140 4 760368N760.368KNx30%空制應(yīng)力時(shí):100%空制應(yīng)力時(shí):5束鋼絞線:15%空制應(yīng)力時(shí):30%空制應(yīng)力時(shí):y 0.6931114.06 0.693119.07119.0716.0 Mpay 0.3 P 0.3 760.368228.11KNy 0.693119.071228.110.693119.07112.0 Mpay 0.693119.0710.7318600.15 P0.6931x 19.071y 0.3 Py 0

20、.6931x 19.071P 760.368KN760.368 0.693119.071140 5 950460N39.9M pa950.46KN0.15 950.46142.57KN血57 O.69317.5M pa19.0710.3 950.46285.14KN285.14 0.693119.07115.0M pa100%空制應(yīng)力時(shí):yP 950.46KN19.071X y O.6931950.46 0-693149.9Mpa19.0716#油泵，千斤頂編號(hào)090305,壓力表編號(hào)9523;y = 19.311X + 1.4319R2 = 0.9998千斤頂證書號(hào)：09-JZ1735.01

21、0.015.020.025.030.035.040.045.050.055.0壓力表讀數(shù)（Mpa冗冗冗冗冗冗冗冗冗冗o0987654321M (點(diǎn)定檢由上圖可知：y19.311X 1.4319，則壓力表讀數(shù)計(jì)算如下:4束鋼絞線:P 0.73 1860 140 4 760368N760.368KN15%空制應(yīng)力時(shí):y 0.15P 0.15 760.368114.06KNy 1.4319X 19.311114.06 1.431919.311 5.8M pa30%空制應(yīng)力時(shí):y 0.3 P 0.3 760.368228.11KNX228.11 1.431919.31119.31111.7 Mpa10

22、0%空制應(yīng)力時(shí):P 760.368KNy 1.4319x 19.311760.368 1.431939.3M pa19.311X5束鋼絞線：P 0.73 1860140 5 950460N950.46KN15%空制應(yīng)力時(shí):y 0.15 P0.15 950.46142.57KNy 1.431919.311142.57 1.43197.3M pa19.31130%空制應(yīng)力時(shí):y 0.3 P0.3 950.46285.14KNy 1.431919.3112853竺 14.7M pa19.311100%空制應(yīng)力時(shí):P 950.46KNy 1.431919.311950.46 皿1949.1M pa19

23、.311千斤頂證書號(hào)：09-JZ175200 100 0 IIIInIIIII0.05.010.015.020.025.030.035.040.045.050.055.0壓力表讀數(shù)（Mpay = 19.351X + 3.5574R2 = 0.9999由上圖可知：y4束鋼絞線:P 0.731860 140 4 760368N760.368KN15%空制應(yīng)力時(shí):0.15P 0.15 760.368114.06KN3.5574y19.351114.06 彳55745.7M pa19.35130%空制應(yīng)力時(shí):y 0.3 P 0.3 760.368228.11KNy 3.557419.351228.11

24、 3.557411.6M pa19.351100%空制應(yīng)力時(shí):P 760.368KNy 3.557419.351760.368 3.557439.1Mpa19.35119.351X 3.5574，則壓力表讀數(shù)計(jì)算如下:5束鋼絞線：15%空制應(yīng)力時(shí):y 0.15 P 0.15 950.46142.57KN30%空制應(yīng)力時(shí):y 彳5574 142.57 5574 7.2Mpa19.35119.351y 0.3 P0.3 950.46285.14KNy 3.55719.351285.14 彳557414.6M pa19.351100%空制應(yīng)力時(shí):P 0.73 I860 140 5 950460N950.46KNP 950.46KNy 3.557419.351950.46 彳557448.9M pa19.351千斤頂證書號(hào)：09-JZ177壓力表讀數(shù)（Mpa1000y = 19.079X - 0.3843R2 = 0.9999o由上圖可知：y4束鋼絞線:P 0.731860 140 4 760368N760.368KN15%空制應(yīng)力時(shí):0.15P 0.15 760.368114.06KN0.3843y19.079114.0