SS-V: 1020 Curved Beam

Test No. VS03Find tip deflections of a curved beam when subjected to in-plane and out-of-plane loads.

Definition

A curved beam, spanning a 90 degree arc is fixed at one end and free at the other (Figure 1). The beam is subjected to two different loads at the free end (Figure 2):
  • in-plane load
  • out-of-plane load

The units are IPS.



Figure 1.


Figure 2.
The material properties are:
Properties
Value
Modulus of Elasticity
1e+7 psi
Poisson's Ratio
0.25

Results

The following table summarizes tip displacement (center face) in the direction of the load [in].
  Theory (Curved beam theory) SimSolid % Difference
In-plane Load (+Y direction) 8.7340E-02 8.8550E-02 1.39%
Out-of-plane Load (+ Z direction) 5.0220E-01 5.0540E-01 0.64%

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.