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SS-V: 1190 Stress Concentration of a Plate with Semi-circular Holes

Test No. VS20 Find the stress concentration in a plate with semi-circular holes.

Definition



Figure 1.
The plate is fixed at one end a pressure load of 1 psi is applied on the other end. The units are IPS.
Model Dimensions
a = 1 in
H = 5 in
r = 0.5 in
h =0.1 in
H/r = 10

Results

  • σmax= 
  • K t   ≅ 3.125   MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGlbGaamiDaiaacckacqGHfjcqcaaIZaGaaiOlaiaaigdacaaI YaGaaGynaiaacckaaaa@3EFC@
  • σ n o m   =   1   p s i MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqaHdpWCdaWgaaWcbaGaamOBaiaad+gacaWGTbaabeaakiaabcca cqGH9aqpcaqGGaGaaGymaiaabccacaWGWbGaam4CaiaadMgaaaa@416A@
The following table summarizes the stress results.
  Theory1 SimSolid % Difference
Major principal stress 3.125 3.175 ~1
1
Pilkey, W.D., Pilkey, D.F. and Bi, Z. (1997) Peterson's stress concentration factors. 2nd edition. Hoboken, NJ: John Wiley & Sons, Inc.