SS-V:1120 带中跨载荷的简支梁

测试编号 VS13 求出在中点有载荷的铰接梁的最大位移和应力。

定义

1.


单位为 SI。

结果

最大位移的参考解的计算方式为:

δ m a x = F L 3 48 E I   MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaiabes7aKnaaBa aaleaaqaaaaaaaaaWdbiaad2gacaWGHbGaamiEaaWdaeqaaOWdbiab g2da9maalaaabaGaamOraiaaykW7caWGmbWaaWbaaSqabeaacaaIZa aaaaGcbaGaaGinaiaaiIdacaaMc8UaamyraiaaykW7caWGjbaaaiaa cckaaaa@475A@

其中,
I = b h 3 12   MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaamysaiabg2da9maalaaabaGaamOyaiaaykW7caWGObWaaWbaaSqa beaacaaIZaaaaaGcbaGaaGymaiaaikdaaaGaaiiOaaaa@3EDB@

最大位移的参考解的计算方式为:

σ m a x = F L 4 Z   MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaiabeo8aZnaaBa aaleaaqaaaaaaaaaWdbiaad2gacaWGHbGaamiEaaWdaeqaaOWdbiab g2da9maalaaabaGaamOraiaaykW7caWGmbaabaGaaGinaiaaykW7ca WGAbaaaiaacckaaaa@437E@

其中,
Z = b h 2 6   MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GaamOwaiabg2da9maalaaabaGaamOyaiaaykW7caWGObWaaWbaaSqa beaacaaIYaaaaaGcbaGaaGOnaaaacaGGGcaaaa@3E33@
下表总结了位移和应力结果。
参考 SimSolid % 差异
最大位移 [mm] 1.0714E+00 1.0765E+00 0.48%
最大应力 [MPa] 1.5000E+02 1.4975E+02 0.17%