SS-V: 5030 Reactions at the Ends of Axially Loaded Plastic Bar
Test No. VNL04 Find reactions at the fixed ends and maximum displacement of a bar axially loaded beyond plasticity.
Definition

Bar dimensions are 10 x 10 x 200 mm. Distance between loaded point and left end A=50 mm. Strain-stress curve of the bar material is defined by the power law:
- K
- Strength coefficient
- n
- Must be in the range [0,1]
- n =0
- Material is perfectly plastic.
- n =1
- Material is elastic.
- Properties
- Value
- K
- 530 MPa
- n
- 0.26
- Poisson's Ratio
- 0

The study was performed for the following load F values: 30000 N, 47000 N, 55000 N, and 60000 N. These loads cover the full range of elastic-plastic response of the bar.
Reference Solution
One-dimensional analytical reference solution is described here.
The length of the bar does not change under the load.
or,
- Tensile strain at the left span of the bar.
- Compressive strain at the right span of the bar,
- Reaction force at left end of the bar.
- Reaction force at the right end of the bar.
- Bar cross-section area
From this equation you can find the reaction at the left end of the bar.
and at the right end.
Results

Force F [N] | SOL Reference, Reaction [N] | SimSolid, Reaction [N] | % Difference |
---|---|---|---|
30000 | 17128 | 17522 | 2.3% |
47000 | 26834 | 26987 | 0.5% |
55000 | 31401 | 31660 | 0.8% |
60000 | 34256 | 34490 | 0.6% |