SS-V: 1000 Straight Cantilever Beam

Test No. VS01 Find tip deflections of a cantilever beam when subjected to extension, shear, and twisting loads.


Figure 1.

Figure 2.

A straight cantilever beam (Figure 1) is subjected to four different loads at the free end (Figure 2).
  • extension
  • in-plane shear
  • out of plane shear
  • twisting

The units are IPS.

Loads are uniformly distributed along the face of the beam or along edges.

The material properties are:
Modulus of Elasticity
1e+7 psi
Poisson's Ratio


The following table summarizes the tip displacements [in].
Table 1. Tip Displacement in Direction of Load
Theory (beam theory) SimSolid % Difference
Axial Loading (+X direction) 3.0000E-05 3.0043E-05 0.14%
In-plane Shear (+Y direction) 1.0810E-01 1.0823E-01 0.12%
Out-of-plane Shear (+Z direction) 4.3210E-01 4.3244E-01 0.08%
Twisting* (+Z direction) 3.4060E-03 3.4558E-03 1.46%

*Twist load was 1 in-lbf X-moment applied as remote load at end face of the beam.

1 MacNeal, R.H., and Harder, R.L., A Proposed Standard Set of Problems to Test Finite Element Accuracy, Finite Elements in Analysis and Design, 1 (1985) 3-20.