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Tapered beam

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

 

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