Deflection of a Cantilever Beam

Description

A cantilever beam is subjected to a concentrated load (F = 1 lb) at the free end. Determine the deflections at the free end and the average shear stress. Dimensions of the cantilever are: L = 10", h = 1", t = 0.1".

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Static_4.SLDPRT and open the file.

Study Type

Static.

Mesh Type

Shell mesh.

Shell Parameters

Shell thickness = 0.1 in - thin shell formulation.

Material Properties

Modulus of elasticity = 3 X 107 psi, Poisson's ratio = 0.

Results

 

Theory

SOLIDWORKS Simulation
Deflection at free edge (UY), inch 0.001333 0.001344
Average Shear Stress (TXY), psi 10.0 9.877

Analytical Solution

UY = (F*L3 ) / (3 * E * I )

Average shear stress: τxy ave = V / ( t * h)

where:
  • L: Beam length
  • E: Modulus of Elasticity
  • I: Area moment of inertia
  • V: Shear force
  • t: Beam thickness
  • h: Beam height
To generate the above results, plot the displacement in the Y direction (UY) and the shear stress (TauXY) then use the Probe tool to list the plotted result on the free edge.