Description
A linearly tapered beam, simply supported at one end and fixed at the other end, is subjected to a concentrated moment at mid-span.
Geometry
Span: 30.0
Beam width: 1.5
Beam depth (right): 2.0
Beam depth (left): 4.0
Elements: 2 tapered beams.
Supports: Pinned at left, Fixed at right.
Loads
Concentrated moment: -5000 at the midpoint.
Reference
Raymond J Roark, Roark’s Formulas for Stress and Strain, Fourth Edition. (Table III – Case 30, page 111), 1965 4th edition, McGraw – Hill book company.
Calculation
The tables in the reference are accurate only to three significant figures; the STRAP results have been rounded off accordingly.
Comparison of Results
| Node/beam | Result type | Result | Deviation | |
| Theoretical | STRAP | |||
| Node 1,3 | Reaction | 169.9 | 169.8 | – |
| Node 2 | Moment to left | -2549 | -2548 | – |
| Node 2 | Moment to right | 2451 | 2452 | – |