Solid Cantilever Beam Under End Loading

Determine the nonlinear response at the tip of a straight cantilever beam subjected to both axial and vertical end-point loads.

L = 3.2 m, d = 0.1 m, t = 0.1 m.

File Name

Open drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\NAFEMS_GNL6.SLDPRT.

Study Type

Nonlinear static with large displacement formulation and large strain option activated.

Mesh Type

Solid mesh

Loads

  • Axial point load P = 3.844 x 106 N
  • Vertical point load Q = P/100 = 3.844 x 104 N

Material Properties

  • Elasticity modulus (E) = 2.1 x 1011 N/m2
  • Poisson's ratio (ν) = 0
  • Mass density (ρ)= 8200 Kg/m3

Results

Define a Workflow Sensitive sensor at the tip, and use the Define Time History Plot tool to plot the graph for the displacement components UY and UX.
  • Vertical UY displacement at tip versus load increment.

    X-axis shows the displacement UY/L in m and Y-axis shows the load increment PL2 /EI.
  • Axial UX displacement at tip versus load increment.

    X-axis shows the displacement UX/L in m and Y-axis shows the load increment PL2/EI.

The load increment versus the deflection curve agrees with the finite element solution provided in the reference.

  Deflection at Tip (m)
  UX/L UY/L
Load (PL2/EI) Reference SOLIDWORKS Simulation Reference SOLIDWORKS Simulation
3.190 -0.440 -0.448 0.719 0.724
22.493 -1.577 -1.586 0.421 0.421

Reference

NAFEMS Non-Linear Benchmarks, The International Association for the Engineering Analysis Community, Glasgow, Oct.1989, Rev.1, Test No. NL6.