预应力张拉伸长量计算书后张法

1、、钢绞线伸长量计算1. 计算依据 公路桥涵施工技术规范中公式（12.8.3-1）; 公路桥涵施工技术规范中附录G-8预应力筋平均张拉力的计算； 海滨大道北段二期（疏港三线立交蛏头沽）设计图纸。2 .计算公式：1PpL丄(12.8.3-1)ApEpP(1 e_(kx"'M)Pp =( & “)(附录 G-8)P =二 con Ap其中：x 从张拉端至计算截面的孔道长度（m）,取张拉端到跨中孔道长度连续端非连续端N117.165N117. 325N217.205N217. 315N317.240N317. 300N417.270N417. 300N517.305N517.

2、 275二从张拉端至计算截面曲线孔道部分切线的夹角之和（rad ），取8.5o即0.148353rad;k 孔道每米局部偏差对摩擦的影响系数，本工程采用塑料波纹管，取0.0015 ；，一预应力筋与孔道壁的摩擦系数，本工程采用：jS15.2mm高强低松弛钢绞线及塑料波纹管孔道，根据图纸取0.17 ;P预应力筋张拉端的张拉力（N）;专业word可编辑Ap 预应力筋的截面面积（mm2）;二con 张拉控制应力（MPa）,根据图纸取0.73fpk ;Pp 预应力筋平均张拉力（N）;中跨边跨N117165N117325N217205N217315N317240N317300N417270N417300N

3、517305N517275L 预应力筋的长度 （mm ），取张拉端到跨中钢绞线长度Ep 钢绞线弹性模量，本工程采用：s 15.2mm高强低松弛钢绞线，根据试验取51.9110 MPa ;（钢绞线弹性模量检测报告附后 ）=L 理论伸长值 （mm ）。3 伸长值计算连续端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连续端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连续端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 连续端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非连续端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 连续端N5pk' 'pP =：；conAp =0.73 fpkAp =0.73 1860 140 4=760368N非连续端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非连续端N3pk' 'pP =：；cOnAp =0.73 fpkAp =0.73 1860 140760368 NP(1 -e")760368(1 _严5173 °17。心)pp :kx0.0015 17.3 0.17 0.148353741241.61N旦ApEp741241B1 17300 =119.9mm5140 4 1.91 10非连续端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非连续端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由以上计算结果

10、得出 中跨箱梁理论伸长值如下：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 边跨箱梁理论伸长值如下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、压力表读数计算1. 计算依据 海滨大道北段二期（疏港三线立交蛏头沽）设计图纸； 千斤顶标定

11、报告09-JZ163178；（报告附后）2. 计算公式千斤顶力与压力表读数对应关系如下式：y = ax b其中：y 千斤顶力（KN）；x 压力表读数（MPa）a , b 常系数。力与应力关系如下式：-conAp各项代表意义同伸长值计算3. 油表读数计算1#油泵，千斤顶编号090201 ,压力表编号1269 ;千斤顶证书号：09-JZ163y = 19.19x + 6.4689R2 = 0.9998由上图可知：y =19.19x 6.4689，则压力表读数计算如下：4束钢绞线:P = 0.73 1860 140 4 = 760368N = 760.368KN15%控制应力时y=0.15P=0.1

12、5 760.368 W4.06KNxggg4。6 一 6.4689 = 5.6Mpa19.1919.1930%控制应力时y=0.3P=0.3 760.368 = 228.11KNy - 6.4689 _ 228.11 -6.468919.19 一19.1911.5M pa100%控制应力时y = P =760.368KNX=ggg= 760.368-6.468919.1919.19二 39.3Mpa5束钢绞线:P=0.73 1860 140 5 = 950460N = 950.46KN15%控制应力时：x30%控制应力时：x =100%控制应力时：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,千斤顶编号090202 ,压力表编号9023 ;千斤顶证书号：09-JZ166y = 19.065X + 2.2376R = 0.999910009008007006005004003002001000 *0.05.010.015.020.025

14、.030.035.040.045.050.055.0压力表读数（Mpa由上图可知：y =19.065x2.2376 ,则压力表读数计算如下：4束钢绞线：P = 0.73 1860 140 4 = 760368N = 760.368KN15%控制应力时：y=0.15P=0.15 760.368 =114.06KN19.06519.06530%控制应力时:100%控制应力时:5束钢绞线:15%控制应力时：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%控制应力时：100%控制应力时: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，千斤顶编号090302 ,压力表编号1259 ;千斤顶证书号：09-JZ168y = 19.193x + 1.3431R2 = 0.999

16、810009008007006005004003002001000*IIIIIII0.05.010.015.020.025.030.035.040.045.050.055.0压力表读数（Mpa由上图可知：y =19.193x 1.3431，则压力表读数计算如下:4束钢绞线：P = 0.73 1860 140 4 = 760368N = 760.368KN15%控制应力时：y=0.15P=0.15 760.368 =114.06KN19.193 19.19330%控制应力时:y=0.3P=0.3 760.368 =228.11KN19.193= 11.8Mpay -1.3431228.11 -1

17、.3431x 二19.193100%控制应力时：二 39.5Mpa5束钢绞线:P=0.73 1860 140 5 = 950460N = 950.46KN15%控制应力时：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%控制应力时:y =0.3P =0.3 950.46 =285.14KN100%控制应力时x-心31 沥14".3431 19.19

18、319.193-14.8M pa=P = 950.46KN950.46-1.343119.19319.193二 49.5Mpa压力表编号8823 ;4#油泵，千斤顶编号090303 ,由上图可知：y =19.047x2.1925 ,则压力表读数计算如下：4束钢绞线:P = 0.73 1860 140 4 = 760368N = 760.368KN15%控制应力时y=0.15P=0.15 760.368 =114.06KNx=y-21925 = 114.06-2.1925 =5.9Mpa19.04719.04730%控制应力时y=0.3P=0.3 760.368 = 228.11KN100%控制

19、应力时5束钢绞线:15%控制应力时：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%控制应力时:y=0.3P=0.3 950.46 =285.14KNy -2.1925285.14-2.1925x 二19.04719.047二

20、 14.9M pa100%控制应力时y = P = 950.46KNy -2.192519.047950.46-2.192519.047= 49.8Mpa5#油泵，千斤顶编号090304 ,压力表编号1199 ;千斤顶证书号：09-JZ171y = 19.071X - 0.6931R2 = 0.9998由上图可知：y =19.071x-0.6931 ,则压力表读数计算如下：4束钢绞线：P = 0.73 1860 140 4 = 760368N = 760.368KN15%控制应力时：y=0.15P=0.15 760.368 F14.06KNy 0.693119.071114.06 0.6931

21、19.071=6.0M pa30%控制应力时：y=0.3P=0.3 760.368 = 228.11KNy 0.6931228.11 0.693119.07119.071=12.0M pa100%控制应力时:y = P =760.368KNy 0.6931760.368 0.6931x =19.07119.071=39.9Mpa5束钢绞线:P=0.73 1860 140 5 = 950460N = 950.46KN15%控制应力时：y=0.15P=0.15 950.46 =142.57KNy 0.6931142.57 0.693119.07119.071=7.5Mpa30%控制应力时:= 0.

22、3P=0.3 950.46 =285.14KN0.6931285.14 0.693119.07119.071二 15.0M pa100%控制应力时=P = 950.46KNy 0.6931950.46 0.693119.07119.071=49.9Mpa 6#油泵，千斤顶编号090305 ,压力表编号9523 ;x专业word可编辑千斤顶证书号：09-JZ173y = 19.311X + 1.4319R = 0.9998由上图可知：y =19.311x 44319 ,则压力表读数计算如下：4束钢绞线:P = 0.73 1860 140 4 = 760368N = 760.368KN15%控制应

23、力时y=0.15P=0.15 760.368 =114.06KN= 5.8M pa19.311x”1.43194.06.431919.31130%控制应力时y=0.3P=0.3 760.368 =228.11KN迅1空11亦19.31119.311100%控制应力时y = P = 760.368KNx=1760363W19.31119.31139.3Mpa5束钢绞线:P=0.73 1860 140 5 = 950460N = 950.46KN15%控制应力时：y=0.15P=0.15 950.46 =142.57KNy -1.4319142.57-1.4319x7.3Mpa19.31119.3

24、1130%控制应力时：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，千斤顶编号090306 ,95°.46".4319 =49.1Mpa19.311压力表编号1089 ;千斤顶证书号：09-JZ175y = 19.351X + 3.5574R2 = 0.9999100%控制应力时：由上图可知：y =19.351x-3.5574 ,则压力表读数计算如下：4束钢绞线：P = 0.73 1860 140 4

25、= 760368N = 760.368KN15%控制应力时：y =0.150.15 760.368 =114.06KNy 3.557419.351114.06 3.557419.351二 5.7M pa30%控制应力时y=0.3P=0.3 760.368 =228.11KN11.6Mpay 3.5574228.11 3.557419.351 二 19.351100%控制应力时：y = P =760.368KN5束钢绞线:y 3.557419.351760.368 3.557419.351二 39.1MpaP=0.73 1860 140 5 = 950460N = 950.46KN15%控制应力

26、时：y=0.15P=0.15 950.46 =142.57KNy 3.557419.35114257 3.557419.351二 7.2M pa30%控制应力时:y =0.3P =0.3 950.46 =285.14KNy 3.55719.351285.14 3.557419.351=14.6M pa100%控制应力时:y = P = 950.46KNy 3.557419.351950.46 3.557419.351二 48.9Mpa8#油泵，千斤顶编号090309 ,压力表编号3239 ;千斤顶证书号：09-JZ177y = 19.079X - 0.3843R2 = 0.9999专业word可编辑由上图可知：y "9.079X0.3843 ,则压力表读数计算如下：4束钢绞线:P = 0.73 1860 140 4 = 760368N = 760.368KN15%控制应力时y=0.15P=0.15 760.368 =1