Description
Find the shear stress and the angle of twist for the square box beam shown in the figure. The free end is subjected to a 300 lb-in torque. The beam has a length of 1500". The beam cross section is a square with a side length of 150".
File Name
Browse to drive
letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS
version\samples\Simulation
Examples\Verification\Static_5.SLDPRT and open the
file.
Shell Parameters
Shell thickness = 3 in - Thin formulation.
Meshing Parameters
Use a Global Size of 75 in.
Material Properties
Modulus of elasticity = 7.5 psi, Poisson's ratio = 0.3.
Results
| |
Theory |
SOLIDWORKS Simulation |
| Shear stress (τ xz), psi |
0.0021365 |
0.002132 |
| Rotation (θ), radians |
0.01541 |
0.01536 |
Shear stress is reported for a point on XZ plane sufficiently far away from free end and the edges of box beam. The angle of rotation θ is calculated as: θ = Sin-1(resultant displacement of a vertex on the free cross section/distance from that vertex to the center of the cross section) or θ = ArcSin[1.629/(75*Sqrt (2))]
Reference
Timoshenko, S. P., and Goodier, J. N., “Theory of Elasticity,” McGraw-Hill, New York, 1951, p. 299.