Large Elastic Deflection of a Curved Elastic Cantilever Under Transverse Load

Determine the variation of displacement components with applied load at B on a curved elastic cantilever under a transverse end load.

All dimensions are in inches.

File Name

Open drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\NAFEMS_3DNLG5.SLDPRT.

Study Type

Nonlinear static with large displacement formulation

Mesh Type

Solid mesh

Mesh Size

Use a standard mesh with global element size of 0.80 in.

Material Properties

  • Modulus of elasticity (E) = 1 x 107 psi
  • Poisson's ratio (ν) = 0
  • Mass density (ρ) = 0.098 lb/in3

Results

Plot the result for the displacement variation with applied load at B (at center of the face where load is applied).

Process the results of the analysis using graphing software to generate the graph.

The force-deflection curves agree with the finite element solution provided in the reference.

  Tip Displacements (in)
  Reference SOLIDWORKS Simulation with Beams SOLIDWORKS Simulation with Solids
Load (lbf) Ux Uy Uz Ux Uy Uz Ux Uy Uz
600 -13.62 -23.78 53.59 -13.85 -23.81 53.66 -13.65 -23.65 53.55
3000 -25 -47.70 68.56 -25.21 -47.75 68.55 -25.06 -47.71 68.56

Reference

NAFEMS Publication R0024, The International Association for the Engineering Analysis Community, "A Review of Benchmark Problems for Geometric Non-linear Behavior of 3-D Beams and Shells (SUMMARY), 1993".