Problem. When the rotation at an element end is released, the condensation is applied to both the stiffness matrix and the load vector. The reactions and the fixed-end moment of a propped beam under distributed load are tested.
Reference document. The classical solution of a propped cantilever is used.
In a beam fixed at one end and simply supported at the other, the support reactions and the fixed-end moment take these values.
Numerical model. A single frame element is used. Both ends are fully fixed and the bending rotation of the element is released at the right end.
Propped cantilever with a member end release, distributed load over the full span
Parameters. L = 6 · w = 12
Published source. The classical propped cantilever solution
| Quantity | Reference | Computed | Deviation |
|---|---|---|---|
| Fixed-end reaction | 45 | 45 | 0% |
| Fixed-end moment | 54 | 54 | 0% |
| Simple support reaction | 27 | 27 | 0% |