、钢绞线伸长量计算1. 计算依据① 《公路桥涵施工技术规范》中公式（12.8.3-1）;② 《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》； ③ 《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：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;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 ;J—预应力筋与孔道壁的摩擦系数， 本工程采用叮jS 15.2mm 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 ）;A p —预应力筋的截面面积（mm ）;▽con —张拉控制应力（MPa ，根据图纸取0.73f pk ；P.—预应力筋平均张拉力（N ）;L —预应力筋的长度（mr ）,取张拉端到跨中钢绞线长度;P PA pEp(12.8.3-1)P(1—e"T) kx(附录G-8)con ApE p —钢绞线弹性模量，本工程采用G s15.2mm高强低松弛钢绞线，根据试验取51.9100 MPa （钢绞线弹性模量检测报告附后）-L —理论伸长值（mr）3•伸长值计算①连续端N1P =%on A p=0.73f pk A p =0.73 1860 140 4 =760368Np（1 —e^kx棚）760368x（1 —©".。

佰从伽枪仃④佃彳厶®）P P = 0.0015 17.165 0.17 0.148353=741316.02NP p L 741316.02 171651■一A p E p 一140 4 1.91 105_119.0mm②连续端N2P =fAp =0.73f pk A p =0.73 1860 140 4 =760368N p(1 _6-(心帕) 760368工(1 _e-(0.0015>17.205七.17呦.148353) P P : 0.0015 17.205 0.17 0.148353)=741293.97NP p L 741293.97 17205二L 5 = 119.2mmA p E p 140咒4咒1.9仔105③连续端N3P =；c On A p=0.73f pk A p=0.73 1860 140 4 =760368NP(1 —e'kx^1) 760368^ (1 —e".0015^7.24 沟.17".148353))P P = _0.0015 17.24 0.17 0.148353=741274.68NP p L 741274.68 17240L =—-—= ― 二=119.5mmA p E p 140 4 1.91 105⑧非连续端 N30.0015 17.3 0.17 0.148353P conA p=0.73fpkA p=0.73 1860 140 4 =760368N p (1 帕)760368乂 (^^(°.°015x17.32^0.1^®.148353))P P :④连续端N4P - ; con A^ - 0.73 f pk A p =0.73 1860 140 4 - 760368N P(1 -e”T) 760368 (1 七迎001517'7 °17 0J48353)) 0.0015 17.27 0.17 0.148353 -741258.14NP p L 741258-14 172750.119.7mmA p E p 140 4 1.91 105 ⑤连续端N5 P =6on A p =0.73f pk A p =0.73 1860 140 4 =760368N p (1 _e _(kx4B ) 760368工(1 _/。

.。

伽了亦七.17^.148353)) p° 0.0015 17.305 0.17 0.148353 =741238.85NP p L L 二A p E p741238-85 17305"9.9mm 5 140 4 1.91 10 ⑥非连续端 N1 = 741227.83N0.0015 17.325 0.17 0.148353—旦 A p E p 741227-83 17325 = 120.1mm5140 4 1.91 10⑦非连续端 N2P y onA p=0.73 f pkA p=0.73 1860 140 4 - 760368Np (〔 760368X 口 —e^0.0015：^7315旳仃④148353))0.0015 17.315 0.17 0.148353=74123334 N—业A p E p741233.34 173155=120.0mm140 4 1.91 105P 「沏 A p =0.73 f pk A p =0.73 1860 140 4 - 760368N p (1 —e^Kx 加) 760368乂(^ ^(0.001^17.3q0.17x0.148353)) PP = _741241.61N⑨非连续端N4P -； conA P=0.73f pkA p =0.73 1860 140 5 = 950460Nd P(1 -e^ T) 950460 (1 - e""15173 °17 0148353))Pp~ kx 匚一 0.0015 17.3 0.17 0.148353P p L A p Ep926552.01 173005-140 5 1.91 10 =119.9mm⑩非连续端N5 P = con A p =0.73f p k A p =0.73 1860 140 5 =950460N n P(1—e"T) 950460 口 一。

^0015 17.275 °17 0.148353)PP :P kx •乃) 0.0015 17.275 0.17 0.148353 -926569.24 NP p L926569.24 17275 140 5 1.91 105 =119.7mm由以上计算结果得出： ①中跨箱梁理论伸长值如下N1 =119.0 2 =238.0mm N2 =119.2 238.4mm N3 =119.5239.0mmN4 =119.7 2 = 239.4mm N5 =119.9 2 二 239.8mm②边跨箱梁理论伸长值如下N1 =119.0 120.1 =239.1mm N2 =119.2120.0 = 239.2mmN3 =119.5 119.9 =239.4mm N4 =119.7119.9 =239.6mmN5 =119.9 119.7 =239.6mmP p L A p E p741241.61 17300140 4 1.91 105= 119.9mm 926552.01N⑧非连续端N30.0015 17.3 0.17 0.148353、压力表读数计算1. 计算依据①《海滨大道北段二期（疏港三线立交〜蛏头沽）设计图纸》；②《千斤顶标定报告09-JZ163〜178》；（报告附后）2. 计算公式①千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。

②力与应力关系如下式：P = %on A p各项代表意义同伸长值计算。

3. 油表读数计算由上图可知：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 =760.368KN 15%空制应力时:y=0.15P=0.15 760.368 =114.06KNy -6.4689 114.06-6.4689x 5.6Mpa19.19 19.1930%空制应力时:y = 0.3P 二0.3 760.368 二228.11KN^^6468^ = 228^6^689 =H.5Mpa19.19 19.19100%空制应力时:y = P = 760.368KNy - 6.4689 760.368 -6.4689x =19.19 19.19= 39.3Mpa 5束钢绞线:= 0.73 1860 140 5 =950460N =950.46KN 15%空制应力时:y = 0.15P = 0.15 950.46 = 142.57KN19.1919.19 一…30%空制应力时:y=0.3P=0.3 950.46 = 285.14KN-6.4689 _ 285.14 -6.468919.19 19.19=14.5Mpa 100%空制应力时:-6.4689 x，19.19 =P =950.46KN950.46 -6.468919.19=49.2Mpa15%空制应力时：x =二 7.4Mpa②2#油泵，千斤顶编号090202,压力表编号9023;由上图可知：y =19.065x 2.2376，则压力表读数计算如下: 4束钢绞线：P =0.73 1860 140 4 =760368N -760.368KN15%空制应力时:y =0.15P =0.15 760.368 =114.06KNy -2.237619.065114.06 -2.237619.065=5.9Mpa30%空制应力时:y =0.3P =0.3 760.368 =228.11KN y -2.2376 228.11 -2.2376x 二19.06519.065二 11.8Mpa100%空制应力时:y = P =760.368KNy -2.2376 760.368 -2.2376x =19.06519.065= 39.8Mpa5束钢绞线:P =0.73 1860 140 5 =950460N =950.46KNy = 0.15P 二 0.15 950.46 二 142.57KN y -2.2376 142.57 -2.2376 19.065 19.065千斤顶证书号：09-JZ166y = 19.065X + 2.2376R = 0.999919.19319.193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%空制应力时：y =0.15P =0.15 760.368 =114.06KN 30%空制应力时:y 二 0.3P 二 0.3 760.368 二 228.11KN y -1.3431 228.11 -1.3431x 二100%空制应力时:y = P = 760.368KN30%空制应力时:y=0.3P=0.3 950.46 = 285.14KN y -2.2376 285.14 -2.2376x = 19.06519.065100%空制应力时：y = P = 950.46 KNy -2.2376950.46 -2.2376x = 19.06519.065③ 3#油泵，千斤顶编号090302,压力表编号1259;=14.8Mpa =49.7Mpay -1.3431 19.193114.06-1.343119.193=5.9Mpa二 11.8Mpa千斤顶证书号：09-JZ168y = 19.193x + 1.3431R 2 = 0.9998x15%空制应力时:y =0.15P =0.15 760.368 =114.06KN由上图可知：y =19.047x 2.1925，则压力表读数计算如下:4束钢绞线: 5束钢绞线：15%空制应力时:30%空制应力时:100%空制应力时:y -1.3431 19.193760.368 -1.343119.193= 39.5MpaP =0.73 1860 140 5 =950460N =950.46KNy = 0.15P = 0.15 950.46 = 142.57KN y -1.3431 142.57 -1.3431 x = 19.193 = 19.193=7.4Mpay=0.3P=0.3 950.46 = 285.14KN y -1.3431 285.14 -1.3431x =19.19319.193二 14.8Mpay = P = 950.46KNy -1.3431 950.46 -1.3431x =19.19319.193=49.5Mpa④ 4#油泵，千斤顶编号090303,压力表编号8823;千斤顶证书号：09-JZ170y = 19.047x + 2.1925R 2 = 0.9999xP =0.73 1860 140 4 =760368N =760.368KN15%空制应力时:y=0.15P=0.15 760.368 =114.06KNx =x二 0.3P 二 0.3 760.368 二228.11KN100%空制应力时:y = P = 760.368KNP =0.73 1860 140 5 =950460N =950.46KNy = 0.15P = 0.15 950.46 = 142.57KNy=0.3P=0.3 950.46 = 285.14KN100%空制应力时:P =950.46KN30%空制应力时:y—2.1925 他.06 —2.1925 'Mpa19.04719.047-2.1925228.11 -2.1925"19.04719.04711.9Mpa5束钢绞线:y -2.1925 760.368 -2.1925x =19.04719.047= 39.8Mpa15%空制应力时:19.047」42.57— 2.1925"4Mpa19.04730%空制应力时:y -2.1925 19.047285.14 -2.192519.047=14.9Mpay -2.1925 950.46 —2.192519.047 19.047=49.8Mpa15%空制应力时:x =y 0.693119.071142.57 0.693119.071二 7.5Mpa⑤ 5#油泵，千斤顶编号090304,压力表编号1199;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:= 0.73 1860 140 4 =760368N -760.368KN15%空制应力时:y =0.15P =0.15 760.368 =114.06KN 30%空制应力时:y =0.3P =0.3 760.368 =228.11KN 100%空制应力时: y = P =760.368KN5束钢绞线:P =0.73 1860 140 5 =950460N =950.46KNy = 0.15P 二 0.15 950.46 二 142.57KN y °.6931 114.°6 °.6931 =6.0Mpa x =19.07119.071y 0.6931 228.11 0.6931x 二19.07119.071二 12.0Mpay 0.6931 760.368 0.6931x =19.07119.071= 39.9Mpa千斤顶证书号：09-JZ171y = 19.071X - 0.6931R 2 = 0.9998压力表读数（Mpa19.31119.311由上图可知：y =19.311x 1.4319，则压力表读数计算如下: 4束钢绞线：P =0.73 1860 140 4 =760368N =760.368KN15%空制应力时：y =0.15P =0.15 760.368 =114.06KN 30%空制应力时:y 二 0.3P 二 0.3 760.368 二 228.11KN y -1.4319 228.11 -1.4319x 二100%空制应力时:y = P = 760.368KN30%空制应力时:y=0.3P=0.3 950.46 = 285.14KN y 0.6931 285.14 0.6931x =19.07119.071100%空制应力时：y = P = 950.46 KNy 0.6931 950.46 0.6931x = 19.07119.071⑥ 6#油泵，千斤顶编号090305,压力表编号9523;二 15.0Mpa=49.9Mpay -1.4319 19.311114.06-1.431919.311=5.8Mpa二 11.7Mpa千斤顶证书号：09-JZ173y = 19.311x + 1.4319R = 0.9998x =15%空制应力时:4束钢绞线: P =0.73 1860 140 4 =760368N =760.368KN5束钢绞线：15%空制应力时:30%空制应力时:100%空制应力时:y -1.4319 19.311760.368 -1.431919.311=39.3MpaP =0.73 1860 140 5 =950460N =950.46KNy = 0.15P = 0.15 950.46 = 142.57KN y -1.4319 142.57 -1.4319 x = 19.311= 19.311= 7.3Mpay=0.3P=0.3 950.46 = 285.14KN y -1.4319 285.14 -1.4319x 二19.31119.311二 14.7Mpay = P = 950.46KNy -1.4319 950.46 -1.4319x =19.31119.311=49.1Mpa⑦ 7#油泵，千斤顶编号090306,压力表编号1089;千斤顶证书号：09-JZ175y = 19.351x + 3.5574R 2 = 0.9999由上图可知：y =19.351^3.5574，则压力表读数计算如下:x =y=0.15P=0.15 760.368 =114.06KN 15%空制应力时:x =x =100%空制应力时:P =0.73 1860 140 5 =950460N =950.46KNy = 0.15P = 0.15 950.46 = 142.57KNy=0.3P=0.3 950.46 = 285.14KN y 3.557 285.14 3.557419.351100%空制应力时:P =950.46KN30%空制应力时: y 3.5574 114.06 3.5574二 5.7Mpa19.35119.351二 0.3P 二 0.3 760.368 二228.11KN3.5574 228.11 3.5574 19.35119.35111.6Mpay = P = 760.368KNy 3.5574 760.368 3.557419.35119.351= 39.1Mpa5束钢绞线:15%空制应力时:^574 UZ^^ppa 19.35119.35130%空制应力时:y 3.5574 950.46 3.557419.351=14.6Mpa19.351x =x =19.351=48.9Mpa15%空制应力时:⑧ 8#油泵，千斤顶编号090309,压力表编号3239;由上图可知：y =19.079^0.3843，则压力表读数计算如下: 4束钢绞线:P =0.73 1860 140 4 =760368N -760.368KN15%空制应力时:y =0.15P =0.15 760.368 =114.06KN 30%空制应力时:y =0.3P =0.3 760.368 =228.11KN 100%空制应力时:y = P =760.368KN5束钢绞线:P =0.73 1860 140 5 =950460N =950.46KNy = 0.15P 二 0.15 950.46 二 142.57KNx-以器竺口车7.5Mpa19.07919.079x=^jg^ 114.06 0.3843“0Mpa 19.07919.079y 0.3843 228.11 0.3843x 二19.07919.079二 12.0Mpay 0.3843 760.368 0.3843x =19.07919.079= 39.9Mpa千斤顶证书号：09-JZ177y = 19.079X - 0.3843R 2 = 0.9999y =0.3P =0.3 950.46 = 285.14KNy = P = 950.46KNy 0.3843950.46 0.3843x 二19.07919.079根据以上计算，将千斤顶张拉力与压力表读数对应关系汇总如下：千斤顶张拉力与压力表读数对应关系表30%空制应力时:y 0.3843 19.079285.14 0.3843 19.079= 15.0Mpa100%空制应力时:二 49.8Mpa。