SS-V:1070 带孔的板

测试编号:VS08求出有孔的板的最大应力。

定义



Figure 1.

由于对称性,只分析了 ¼ 截面 (Figure 1)。

单位为 SI。

施加于左面、背面和底面的滑动约束。

载荷为 5000 N,施加于右面。*

模型参数为:
参数
L
100mm
H
50mm
R
20mm
F
100N/mm2
厚度
1mm
材料属性为:
属性
弹性模量
2.1e+11
泊松比
0.3

结果

参考解为:(1)
σ m a x =   k σ n o m MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaeq4Wdm3damaaBaaaleaapeGaamyBaiaadggacaWG4baapaqabaGc peGaeyypa0JaaiiOaiaadUgacqaHdpWCpaWaaSbaaSqaa8qacaWGUb Gaam4Baiaad2gaa8aabeaaaaa@4325@

k = 3。

σ nom = F h hr =166,7MPa MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaeq4Wdm3damaaBaaaleaacaWGUbGaam4Baiaad2gaaeqaaOWdbiab g2da9iaacckacaWGgbWaaSaaaeaacaWGObaabaGaamiAaiabgkHiTi aadkhaaaGaaGPaVlabg2da9iaaykW7caaIXaGaaGOnaiaaiAdacaGG SaGaaGjbVlaaiEdacaWGnbGaamiuaiaadggaaaa@4D9E@

k= 33.13 d h +3.66 d h 2 1.53 d h 3 =2.2357 MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaam4Aaiabg2da9iaacckacaaIZaGaaGPaVlabgkHiTiaaykW7caaI ZaGaaiOlaiaaigdacaaIZaWaaeWaaeaadaWcaaqaaiaadsgaaeaaca WGObaaaaGaayjkaiaawMcaaiaaykW7cqGHRaWkcaaMc8UaaG4maiaa c6cacaaI2aGaaGOnamaabmaabaWaaSaaaeaacaWGKbaabaGaamiAaa aaaiaawIcacaGLPaaadaahaaWcbeqaaiaaikdaaaGccaaMc8UaeyOe I0IaaGymaiaac6cacaaI1aGaaG4mamaabmaabaWaaSaaaeaacaWGKb aabaGaamiAaaaaaiaawIcacaGLPaaadaahaaWcbeqaaiaaiodaaaGc caaMc8Uaeyypa0JaaGPaVlaaikdacaGGUaGaaGOmaiaaiodacaaI1a GaaG4naaaa@61C8@

σ max =372.7MPa MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaiabeo8aZnaaBa aaleaaciGGTbGaaiyyaiaacIhaaeqaaOGaaGPaVlabg2da9iaaykW7 caaIZaGaaG4naiaaikdacaGGUaGaaG4naiaad2eacaWGqbGaamyyaa aa@450B@

下表总结了最大应力。
  理论 SimSolid % 差异
最大应力 [MPa] 3.7270E+02 3.7775E+02 1.35%

*要确定负载:100N/mm2 x 50mm x 1mm。