Clamped Beam Subject to Prescribed Displacement

Description

Determine the maximum stress and support force of a clamped beam due to a 1 inch settlement at the right end. The length of the beam is 80" and the beam has a square cross section of dimensions 2"X2".

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Static_15.SLDPRT and open the file.

Study Type

Static.

Mesh Type

Shell mesh and Beam mesh.

Shell Parameters

Shell thickness = 2 in - Thick shell formulation.

Material Properties

Modulus of elasticity = 3 X 107 psi.

Results

 

Theory

SOLIDWORKS Simulation

Shell Mesh

SOLIDWORKS Simulation

Beam Mesh
Maximum stress at support (psi) 28125 28407 28125
Support reaction force (lb) 937.50 916.22 937.50

Analytical Solution

Support reaction: R = (12 * E *I) / L3

Moment at support: M = (6 * E * I) / L2

Stress at support: Sx = M * ( (b/2) / I)

where:
  • E: Modulus of Elasticity
  • I: Area moment of inertia
  • L: Beam length
  • b: Beam height

Reference

Gere, J. M. and Weaver, W. Jr., “Analysis of Framed Structures,” D. Van Nostrand Co., 1965.