# SS-V: 1020 Curved Beam

Test No. VS03 Find 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.

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 | 8.8554E-02 | 1.39% |

Out-of-plane Load (+ Z direction) | 5.0220E-01 | 5.0542E-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.