Problem Description
Figure below shows the curved thick beam model. Linear static analysis is performed on the beam. The maximum tensile stress and maximum compressive stress in the beam are determined. All dimensions are in inches
Solution Type: Linear Static
Unit: inch/pound/second
Model Geometry:
Inner Radius: Ri = 3.5 in; Outer Radius: Ro = 4.5 in; Width: w = 1 in
Material Properties:
• Young’s Modulus: E = 30.0 E+6 psi
• Poisson’s Ratio: nu = 0.3
Boundary Conditions:
All translations and rotations are restrained for all nodes between points B and C. A force couple P = 100 lb is applied at the free end of the beam to simulate a 100 in-lb moment
References:
[1]. Timoshenko, S., Strength of Materials, Part 1, Elementary Theory and Problems, 3rd Edition. New York: D. VanNostrand Co., Inc., 1955. p.98.
APDL code
fini /clear /prep7 ! Variables RI=3.5 ! inches RO=4.5 EE=30E6 !psi NU=0.3 CYL4,0,0,ri,0,ro,90 ET,1,PLANE182 !KEYOPT,1,3,2 MP,EX,1,EE MP,PRXY,1,NU ! Meshing LESIZE,2,,,8 LESIZE,4,,,8 LESIZE,1,,,30 LESIZE,3,,,30 AMESH,ALL /SOLU ! Boundary conditions DL,4,,ALL ! LOADS FK,2,FX,100 FK,3,FX,-100 SOLVE ! Post Processing /POST1 PLNSOL, U,SUM PLNSOL, S,1 PLNSOL, S,3
RESULTS
COMPARISON
Description | Theory [1] | ANYSYS |
Tensile Stress (psi) | 655.0 | 660.66 |
Compressive Stress (psi) | -555.0 | -551.22 |