一、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:pp p E A L P L =∆ (12.8.3-1)μθμθ+-=+-kx e P P kx p )1()( (附录G-8)p con A P σ=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;θ—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;μ—预应力筋与孔道壁的摩擦系数,本工程采用s Φ15.2mm 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 ); p A —预应力筋的截面面积(mm ²);con σ—张拉控制应力(MPa ),根据图纸取pk f 73.0;p P —预应力筋平均张拉力(N );L —预应力筋的长度(mm ),取张拉端到跨中钢绞线长度;p E —钢绞线弹性模量,本工程采用s Φ15.2mm 高强低松弛钢绞线,根据试验取51091.1⨯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 ①连续端N1N A f A P p pk p con 7603684140186073.073.0=⨯⨯⨯===σN e kx e P P kx P 02.741316148353.017.0165.170015.0)1(760368)1()148353.017.0165.170015.0()(=⨯+⨯-⨯=+-=⨯+⨯-+-μθμθmm E A L P L pp p 0.1191091.141401716502.7413165=⨯⨯⨯⨯==∆②连续端N2N A f A P p pk p con 7603684140186073.073.0=⨯⨯⨯===σN e kx e P P kx P 97.741293148353.017.0205.170015.0)1(760368)1()148353.017.0205.170015.0()(=⨯+⨯-⨯=+-=⨯+⨯-+-μθμθmm E A L P L pp p 2.1191091.141401720597.7412935=⨯⨯⨯⨯==∆ ③连续端N3N A f A P p pk p con 7603684140186073.073.0=⨯⨯⨯===σN e kx e P P kx P 68.741274148353.017.024.170015.0)1(760368)1()148353.017.024.170015.0()(=⨯+⨯-⨯=+-=⨯+⨯-+-μθμθmm E A L P L pp p 5.1191091.141401724068.7412745=⨯⨯⨯⨯==∆④连续端N4N A f A P p pk p con 7603684140186073.073.0=⨯⨯⨯===σN e kx e P P kx P 14.741258148353.017.027.170015.0)1(760368)1()148353.017.027.170015.0()(=⨯+⨯-⨯=+-=⨯+⨯-+-μθμθmm E A L P L pp p 7.1191091.141401727014.7412585=⨯⨯⨯⨯==∆ ⑤连续端N5N A f A P p pk p con 7603684140186073.073.0=⨯⨯⨯===σN e kx e P P kx P 85.741238148353.017.0305.170015.0)1(760368)1()148353.017.0305.170015.0()(=⨯+⨯-⨯=+-=⨯+⨯-+-μθμθmm E A L P L pp p 9.1191091.141401730585.7412385=⨯⨯⨯⨯==∆⑥非连续端N1N A f A P p pk p con 7603684140186073.073.0=⨯⨯⨯===σN e kx e P P kx P 83.741227148353.017.0325.170015.0)1(760368)1()148353.017.0325.170015.0()(=⨯+⨯-⨯=+-=⨯+⨯-+-μθμθmm E A L P L pp p 1.1201091.141401732583.7412275=⨯⨯⨯⨯==∆ ⑦非连续端N2N A f A P p pk p con 7603684140186073.073.0=⨯⨯⨯===σN e kx e P P kx P 34.741233148353.017.0315.170015.0)1(760368)1()148353.017.0315.170015.0()(=⨯+⨯-⨯=+-=⨯+⨯-+-μθμθmm E A L P L pp p 0.1201091.141401731534.7412335=⨯⨯⨯⨯==∆ ⑧非连续端N3N A f A P p pk p con 7603684140186073.073.0=⨯⨯⨯===σN e kx e P P kx P 61.741241148353.017.03.170015.0)1(760368)1()148353.017.03.170015.0()(=⨯+⨯-⨯=+-=⨯+⨯-+-μθμθmm E A L P L pp p 9.1191091.141401730061.7412415=⨯⨯⨯⨯==∆ ⑨非连续端N4N A f A P p pk p con 9504605140186073.073.0=⨯⨯⨯===σN e kx e P P kx P 01.926552148353.017.03.170015.0)1(950460)1()148353.017.03.170015.0()(=⨯+⨯-⨯=+-=⨯+⨯-+-μθμθmm E A L P L pp p 9.1191091.151401730001.9265525=⨯⨯⨯⨯==∆ ⑩非连续端N5NA f A P p pk p con 9504605140186073.073.0=⨯⨯⨯===σN e kx e P P kx P 24.926569148353.017.0275.170015.0)1(950460)1()148353.017.0275.170015.0()(=⨯+⨯-⨯=+-=⨯+⨯-+-μθμθmm E A L P L pp p 7.1191091.151401727524.9265695=⨯⨯⨯⨯==∆ 由以上计算结果得出: ①中跨箱梁理论伸长值如下:mm N 0.23820.1191=⨯= mm N 4.23822.1192=⨯=mm N 0.23925.1193=⨯= mm N 4.23927.1194=⨯= mm N 8.23929.1195=⨯= ②边跨箱梁理论伸长值如下mm N 1.2391.1200.1191=+= mm N 2.2390.1202.1192=+= mm N 4.2399.1195.1193=+= mm N 6.2399.1197.1194=+= mm N 6.2397.1199.1195=+=二、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:b ax y +=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 con A P σ=各项代表意义同伸长值计算。
3. 油表读数计算①1#油泵,千斤顶编号090201,压力表编号1269;由上图可知:4689.619.19+=x y ,则压力表读数计算如下: 4束钢绞线:KN N P 368.7607603684140186073.0==⨯⨯⨯=15%控制应力时:KN P y 06.114368.76015.015.0=⨯==Mpa y x 6.519.194689.606.11419.194689.6=-=-=30%控制应力时:KN P y 11.228368.7603.03.0=⨯==Mpa y x 5.1119.194689.611.22819.194689.6=-=-=100%控制应力时:KN P y 368.760==Mpa y x 3.3919.194689.6368.76019.194689.6=-=-=5束钢绞线:KN N P 46.9509504605140186073.0==⨯⨯⨯=15%控制应力时:KN P y 57.14246.95015.015.0=⨯==Mpa y x 1.719.194689.657.14219.194689.6=-=-=30%控制应力时:KN P y 14.28546.9503.03.0=⨯==Mpa y x 5.1419.194689.614.28519.194689.6=-=-=100%控制应力时:KN P y 46.950==Mpa y x 2.4919.194689.646.95019.194689.6=-=-=②2#油泵,千斤顶编号090202,压力表编号9023;由上图可知:2376.2065.19+=x y ,则压力表读数计算如下: 4束钢绞线:KN N P 368.7607603684140186073.0==⨯⨯⨯=15%控制应力时:KN P y 06.114368.76015.015.0=⨯==Mpa y x 9.5065.192376.206.114065.192376.2=-=-=30%控制应力时:KN P y 11.228368.7603.03.0=⨯==Mpa y x 8.11065.192376.211.228065.192376.2=-=-=100%控制应力时:KN P y 368.760==Mpa y x 8.39065.192376.2368.760065.192376.2=-=-=5束钢绞线:KN N P 46.9509504605140186073.0==⨯⨯⨯=15%控制应力时:KN P y 57.14246.95015.015.0=⨯==Mpa y x 4.7065.192376.257.142065.192376.2=-=-=30%控制应力时:KN P y 14.28546.9503.03.0=⨯==Mpa y x 8.14065.192376.214.285065.192376.2=-=-=100%控制应力时:KN P y 46.950==Mpa y x 7.49065.192376.246.950065.192376.2=-=-=③3#油泵,千斤顶编号090302,压力表编号1259;由上图可知:3431.1193.19+=x y ,则压力表读数计算如下: 4束钢绞线:KN N P 368.7607603684140186073.0==⨯⨯⨯=15%控制应力时:KN P y 06.114368.76015.015.0=⨯==Mpa y x 9.5193.193431.106.114193.193431.1=-=-=30%控制应力时:KN P y 11.228368.7603.03.0=⨯==Mpa y x 8.11193.193431.111.228193.193431.1=-=-=100%控制应力时:KN P y 368.760==Mpa y x 5.39193.193431.1368.760193.193431.1=-=-=5束钢绞线:KN N P 46.9509504605140186073.0==⨯⨯⨯=15%控制应力时:KN P y 57.14246.95015.015.0=⨯==Mpa y x 4.7193.193431.157.142193.193431.1=-=-=30%控制应力时:KN P y 14.28546.9503.03.0=⨯==Mpa y x 8.14193.193431.114.285193.193431.1=-=-=100%控制应力时:KN P y 46.950==Mpa y x 5.49193.193431.146.950193.193431.1=-=-=④4#油泵,千斤顶编号090303,压力表编号8823;由上图可知:1925.2047.19+=x y ,则压力表读数计算如下: 4束钢绞线:KN N P 368.7607603684140186073.0==⨯⨯⨯=15%控制应力时:KN P y 06.114368.76015.015.0=⨯==Mpa y x 9.5047.191925.206.114047.191925.2=-=-=30%控制应力时:KN P y 11.228368.7603.03.0=⨯==Mpa y x 9.11047.191925.211.228047.191925.2=-=-=100%控制应力时:KN P y 368.760==Mpa y x 8.39047.191925.2368.760047.191925.2=-=-=5束钢绞线:KN N P 46.9509504605140186073.0==⨯⨯⨯=15%控制应力时:KN P y 57.14246.95015.015.0=⨯==Mpa y x 4.7047.191925.257.142047.191925.2=-=-=30%控制应力时:KN P y 14.28546.9503.03.0=⨯==Mpa y x 9.14047.191925.214.285047.191925.2=-=-=100%控制应力时:KN P y 46.950==Mpa y x 8.49047.191925.246.950047.191925.2=-=-=⑤5#油泵,千斤顶编号090304,压力表编号1199;由上图可知:6931.0071.19-=x y ,则压力表读数计算如下: 4束钢绞线:KN N P 368.7607603684140186073.0==⨯⨯⨯=15%控制应力时:KN P y 06.114368.76015.015.0=⨯==Mpa y x 0.6071.196931.006.114071.196931.0=+=+=30%控制应力时:KN P y 11.228368.7603.03.0=⨯==Mpa y x 0.12071.196931.011.228071.196931.0=+=+=100%控制应力时:KN P y 368.760==Mpa y x 9.39071.196931.0368.760071.196931.0=+=+=5束钢绞线:KN N P 46.9509504605140186073.0==⨯⨯⨯=15%控制应力时:KN P y 57.14246.95015.015.0=⨯==071.19071.1930%控制应力时:KN P y 14.28546.9503.03.0=⨯==Mpa y x 0.15071.196931.014.285071.196931.0=+=+=100%控制应力时:KN P y 46.950==Mpa y x 9.49071.196931.046.950071.196931.0=+=+=⑥6#油泵,千斤顶编号090305,压力表编号9523;由上图可知:4319.1311.19+=x y ,则压力表读数计算如下: 4束钢绞线:KN N P 368.7607603684140186073.0==⨯⨯⨯=15%控制应力时:KN P y 06.114368.76015.015.0=⨯==Mpa y x 8.5311.194319.106.114311.194319.1=-=-=30%控制应力时:KN P y 11.228368.7603.03.0=⨯==311.19311.19100%控制应力时:KN P y 368.760==Mpa y x 3.39311.194319.1368.760311.194319.1=-=-=5束钢绞线:KN N P 46.9509504605140186073.0==⨯⨯⨯=15%控制应力时:KN P y 57.14246.95015.015.0=⨯==Mpa y x 3.7311.194319.157.142311.194319.1=-=-=30%控制应力时:KN P y 14.28546.9503.03.0=⨯==Mpa y x 7.14311.194319.114.285311.194319.1=-=-=100%控制应力时:KN P y 46.950==Mpa y x 1.49311.194319.146.950311.194319.1=-=-=⑦7#油泵,千斤顶编号090306,压力表编号1089;由上图可知:5574.3351.19-=x y ,则压力表读数计算如下: 4束钢绞线:KN N P 368.7607603684140186073.0==⨯⨯⨯=15%控制应力时:KN P y 06.114368.76015.015.0=⨯==Mpa y x 7.5351.195574.306.114351.195574.3=+=+=30%控制应力时:KN P y 11.228368.7603.03.0=⨯==Mpa y x 6.11351.195574.311.228351.195574.3=+=+=100%控制应力时:KN P y 368.760==Mpa y x 1.39351.195574.3368.760351.195574.3=+=+=5束钢绞线:KN N P 46.9509504605140186073.0==⨯⨯⨯=15%控制应力时:KN P y 57.14246.95015.015.0=⨯==Mpa y x 2.7351.195574.357.142351.195574.3=+=+=30%控制应力时:KN P y 14.28546.9503.03.0=⨯==Mpa y x 6.14351.195574.314.285351.19557.3=+=+=100%控制应力时:KN P y 46.950==351.19351.19⑧8#油泵,千斤顶编号090309,压力表编号3239;由上图可知:3843.0079.19-=x y ,则压力表读数计算如下: 4束钢绞线:KN N P 368.7607603684140186073.0==⨯⨯⨯=15%控制应力时:KN P y 06.114368.76015.015.0=⨯==Mpa y x 0.6079.193843.006.114079.193843.0=+=+=30%控制应力时:KN P y 11.228368.7603.03.0=⨯==079.19079.19100%控制应力时:KN P y 368.760==Mpa y x 9.39079.193843.0368.760079.193843.0=+=+=5束钢绞线:KN N P 46.9509504605140186073.0==⨯⨯⨯=15%控制应力时:KN P y 57.14246.95015.015.0=⨯==Mpa y x 5.7079.193843.057.142079.193843.0=+=+=可修改30%控制应力时:KN P y 14.28546.9503.03.0=⨯==Mpa y x 0.15079.193843.014.285079.193843.0=+=+=100%控制应力时:KN P y 46.950==Mpa y x 8.49079.193843.046.950079.193843.0=+=+=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可修改。