第一章计算书一、计算依据《钢结构设计规》(GB50017-2003)《公路桥涵通用设计规》(JTGD60-2004)《公路桥涵钢结构及木结构设计规》《公路桥涵施工技术规》(JTJ041-2004)二、计算参数挂篮主要结构材料表3、荷载组合:荷载组合Ⅰ:砼重量+动力附加荷载+挂篮自重+人群和施工机具重+超载;荷载组合Ⅱ:砼重量+挂篮自重+风载+超载;荷载组合Ⅲ:砼重量+挂篮自重+人群和施工机具重;荷载组合Ⅳ:挂篮自重+冲击附加荷载+风载;荷载组合I~Ⅱ用于挂篮主桁承重系统强度和稳定性计算;荷载组合Ⅲ用于刚度计算,荷载组合Ⅳ用于挂篮行走验算。
三、荷载计算根据设计图纸,各梁段控制砼重综合考虑,取最大梁段荷载节段重量,即1050KN,挂篮自重按50吨计,施工荷载取2.5KN/m2吨。
T1=1050×1.05+500+12.5×5×2.5=1665(KN)3 T2:风荷载根据《公路桥涵通用设计规》(JTG D60-2004)),结合工程实际地形有:四、挂篮计算1、外导梁1)、左侧翼板重:0.877*25*4.5=98.66KN 侧板重5.446*10=54.46KN外模导梁受力=98.66*1.05+54.46+4.5*2.681*2.5=188.2KN/4.5=41.83KN/m6计算模型x123456( 1 )( 2 )( 3 )( 4 )( 5 )88.2188.21-100.02-100.02剪力图x123456( 1 )( 2 )( 3 )( 4 )( 5 )84.5958.01177.1958.01弯矩图力计算杆端力值 ( 乘子 = 1)---------------------------------------------------------------------------------------------- 杆端 1 杆端 2---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩 ----------------------------------------------------------------------------------------------1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000002 0.00000000 88.2108047 0.00000000 0.00000000 88.2108047 84.59416173 0.00000000 88.2108047 84.5941617 0.00000000 -100.024195 58.01403324 0.00000000 -100.024195 58.0140332 0.00000000 -100.024195 0.000000005 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000---------------------------------------------------------------------------------------------- 反力计算约束反力值 ( 乘子 = 1)--------------------------------------------------------------------------------------------- 结点约束反力合力支座 ---------------------------------------- ------------------------------------------ 结点水平竖直力矩大小角度力矩---------------------------------------------------------------------------------------------- 2 0.00000000 88.2108047 0.00000000 88.2108047 90.0000000 0.000000005 0.00000000 100.024195 0.00000000 100.024195 90.0000000 0.00000000受力:前吊点88.21KN 后吊点100.02KNMmax =177.19KN·M Qmax =100.02KN2)、右侧翼板重:0.911*25*4.5=102.49KN侧板重5.446*10=54.46KN外模导梁受力=102.49*1.05+54.46+4.5*2.681*2.5=192.2KN/4.5=42.72KN/m6计算模型x 123456 ( 1 )( 2 )( 3 )( 4 )( 5 )90.0990.09-102.15-102.15剪力图x123456 ( 1 )( 2 )( 3 )( 4 )( 5 )86.3959.25180.9659.25弯矩图力计算杆端力值 ( 乘子 = 1)---------------------------------------------------------------------------------------------- 杆端 1 杆端 2---------------------------------------- ------------------------------------------单元码轴力剪力弯矩轴力剪力弯矩----------------------------------------------------------------------------------------------1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000002 0.00000000 90.0876304 0.00000000 0.00000000 90.0876304 86.39403753 0.00000000 90.0876304 86.3940375 0.00000000 -102.152369 59.24837434 0.00000000 -102.152369 59.2483743 0.00000000 -102.152369 0.000000005 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000---------------------------------------------------------------------------------------------- 反力计算约束反力值 ( 乘子 = 1)----------------------------------------------------------------------------------------------结点约束反力合力支座 ---------------------------------------- ------------------------------------------ 结点水平竖直力矩大小角度力矩---------------------------------------------------------------------------------------------- 2 0.00000000 90.0876304 0.00000000 90.0876304 90.0000000 0.000000005 0.00000000 102.152369 0.00000000 102.152369 90.0000000 0.00000000----------------------------------------------------------------------------------------------结论:受力:前吊点90.09KN 后吊点102.15KNMmax =180.96KN·M Qmax =102.15KNФ32精扎螺纹钢抗拉标准强度fpk=785Mpa ,公称截面面积S=804.2mm 2 可承受极限拉力F=0.785*804.2=631.3KN>102.15KN 吊杆采用Ф32精扎螺纹钢可以满足抗拉要求。
双槽40b 的截面几何特性为:I=18640×2=37280cm 4 W=932×2=1864cm 3 A=83×2=166cm 2 σmax= Mmax /W=180.96×106/1864×103=97.08N/mm 2<145 N/mm 2 τmax= Qmax /A=102.15×103/166×102=6.15N/ mm 2 <85 N/mm 2 外模导梁采用双槽40b 可满足要求。
2、 导梁模顶板重:1.755*25*4.5=197.44KN 板重:1.089*10=10.89KN 导梁受力:197.44*1.05+10.89+4.5*5*2.5=274.45KN/4.5/2=30.49KN/m6计算模型x123456( 1 )( 2 )( 3 )( 4 )( 5 )64.3064.30-72.94-72.94剪力图123456( 1 )( 2 )( 3 )( 4 )( 5 )61.6642.23129.1642.23弯矩图力计算杆端力值 ( 乘子 = 1)---------------------------------------------------------------------------------------------- 杆端 1 杆端 2---------------------------------------- ------------------------------------------单元码轴力剪力弯矩轴力剪力弯矩--------------------------------------------------------------------------------------------1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000002 0.00000000 64.3000197 0.00000000 0.00000000 64.3000197 61.66371883 0.00000000 64.3000197 61.6637188 0.00000000 -72.9354703 42.22963734 0.00000000 -72.9354703 42.2296373 0.00000000 -72.9354703 0.000000005 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000---------------------------------------------------------------------------------------------反力计算约束反力值 ( 乘子 = 1)--------------------------------------------------------------------------------------------- 结点约束反力合力支座 ---------------------------------------- ------------------------------------------ 结点水平竖直力矩大小角度力矩---------------------------------------------------------------------------------------------2 0.00000000 64.3000197 0.00000000 64.3000197 90.0000000 0.000000005 0.00000000 72.9354703 0.00000000 72.9354703 90.0000000 0.00000000---------------------------------------------------------------------------------------------结论:受力:前吊点:64.3KN 后吊点:72.94KNMmax =129.16KN·M Qmax =72.94KNФ32精扎螺纹钢抗拉标准强度fpk=785Mpa,公称截面面积S=804.2mm2可承受极限拉力F=0.785*804.2=631.3KN>72.94KN吊杆采用Ф32精扎螺纹钢可以满足抗拉要求。