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