SS-V: 1010 Twisted Cantilever Beam

Test No. VS02Find tip deflections of a twisted cantilever beam when subjected to shear loads.

Definition



Figure 1.


Figure 2.
A cantilever beam, twisted by 90 degrees, is subjected to two different until loads at the free end (Figure 1):
  • in-plane shear
  • out of plane shear

Loads are uniformly distributed along the face.

The units are IPS.

The material properties are:
Properties
Value
Modulus of Elasticity
29e+6 psi
Poisson's Ratio
0.22

Results

The following table summarizes the tip displacements [in].
  Theory (beam theory) SimSolid % Difference
In-plane Shear (+Y direction) 5.4240E-03 5.4618E-03 0.70%
Out-of-plane Shear (+ X direction) 1.7540E-03 1.6290E-03 -7.13%

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.