各种截面计算

单位mm薄壁箱梁扭转常数K=2tt1(a-t)2(b-t1)2/(at+bt1-t2-t12)平均应力ts=T/(2t(a-t)(b-t1))短边tL=T/(2t1(a-t)(b-t1))长边惯性矩I=at1(b+t1/2)2bt3/6面积A=2（at1+bt)回转半径i=amm1000bmm1200tmm20t1mm38tbKmm^43.092E+10TkN-m0.000E+00tsMPa6.787E+08tLMPa0.000E+00Imm^43.141E+10at1Amm^21.210E+05i=509.61843长方体扭转常数K=(2.25/16)a4回转半径i=剪应力t=0.601*8T/a3bmm10B长度amm10扭转常数Kmm^41406扭矩TkN-m1000a剪应力tMPa4.808E+06惯性矩Imm^4833.33面积Amm^2100i=2.89圆截面扭转常数K=pR4/2剪应力t=2T/pR3半径Rmm400扭转常数Kmm^44.02E+10惯性矩Imm^41.26E+09面积Amm^2125663.71i=100常用截面几何参数计算IAIAT型截面截面积A=ab+cd重心高y=(cd^2/2+ab(b/2+c))/A惯性矩I=dc^3/12+abc^2/4+A(c/2-y)^2回转半径i=a翼缘amm240bmm20腹板cmm240dmm14c截面积Amm^28.16E+03重心高ymm6.35E+01惯性矩Imm^44.08E+07imm70.67d工型钢a扭转常数K=2K1+K2K1=ab3[1/3-0.21b/a(1-b4/12a4)]K2=(1/3)cd3dc面板amm300bmm20腹板cmm500dmm16扭转常数K1mm^47.66E+05aK2mm^46.83E+05Kmm^42.22E+06截面积Amm^220000惯性矩Imm^49.783E+08imm221.16caoganga60t1.2h30t1.6A168y9.51428571I94370.6645i23.7008469λ63.2888776φ502.310629圆环面IA扭转常数K=pR4/2剪应力t=2T/pR3直径Dmm500厚度dmm8扭转常数Kmm^49.82E+10惯性矩Imm^43.74E+08面积Amm^212365.31i=173.97126计算长度lmm18000长细比λ103.465364StressConvertor1000000N=136.5tσ=1.106E+01内角点静矩S=5.054E+07M=1262t.mσ=2.362E+02V=27t平均τ=2.188E+00σr=236.243849内角点I1=4.73E+09弯距M1=1.90E+02应力σ1=2.21E+02τ=5.601E+00σ1r=221.465831bbM=88.5735t.mσ=2.396E+02V=100tτ=4.900E+01σr=254.161033b