Shear Stress in Hollow Cylinder

Description

Determine the shear stress in a hollow concentric cylinder fixed at one end and subjected to a torque of 10 lb-in at the other end. The inner and outer radii of the cylinder are 1" and 1.5" respectively and the length of the cylinder is 12".

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Static_23.SLDPRT and open the file.

Study Type

Static.

Mesh Type

Solid mesh.

Material Properties

Alloy Steel.

Results

  Theory SOLIDWORKS Simulation
Maximum Shear Stress (TYZ), psi 2.351 2.362

Analytical Solution

Ip = π/2*(r_out4- r_in4)

T = torque

TYZmax = T * r_out / Ip

Reference

Young, Y. C. and Budynas, R. G., “Roark’s Formulas for Stress and Strain”, 7th Edition, Table 10.1, Page 404, Item 10.