Deflection of a Cantilever Under Gravity

Description

Determine the maximum displacement in Y-direction of a cantilever, fixed at one end, under its own weight. The length of the cantilever is 20" and its section is a square of side 1".

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Static_24.SLDPRT and open the file.

Study Type

Static.

Mesh Type

Solid mesh.

Material Properties

Modulus of elasticity = 3 X 10⁷ psi, Poisson's ratio = 0.28, Density = 0.2782 lb/in³.

Results

Analytical Solution

UY = ( 3 * w * L⁴) / (24 * E * I )

Reference

Shigley, J. E. and Mischke, C. R., “Mechanical Engineering Design”, 5^th Edition, Table A-9, Page 736, Item 3.