Description
A statically indeterminate cantilever space truss as shown below, loaded with a joint load and a uniform temperature load.
Geometry
Modulus of Elasticity: 30,000 ksi
Thermal coefficient: 11.7×10-6 (in/in)/°C
Elements: beam elements, Area: 1.0 in²
Supports: Pinned
Loads
Joint load FX2 (node 6) = -1.0
Axial temperature change = +27.8°C (all beams)
Reference
S. P. Timoshenko & D. H. Young, Theory of Structures, Second Edition. (article 7.6, problems 1,2), McGraw – Hill book company.
Comparison of Results
Beam | Load | Result type | Result | Deviation | |
Theoretical | STRAP | ||||
4 | Joint | Axial | 0.056 | 0.056 | – |
4 | Temperature | Axial | 1.295 | 1.294 | 0.07% |