VM-WB-MECH-066

VM-WB-MECH-066
Bending of a Tapered Plate

Overview

Reference:

Harris, C. O. (1959). Introduction to Stress Analysis (p. 237, problem 4). New York, NY: The Macmillan Co.

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Solver(s):

Ansys Mechanical

Analysis Type(s):Static Structural Analysis
Element Type(s):Shell

Test Case

A tapered cantilever plate of rectangular cross-section is subjected to a load F at its tip. Find the maximum deflection δ and the maximum principal stress σ1 in the plate. Use a global mesh size of 0.75 in.

Figure 88: Schematic

Schematic
Schematic

Material PropertiesGeometric PropertiesLoading
E = 30 x 106 psi
ν = 0.0
L = 20 in
d = 3 in
t = 0.5 in
F = 10 lbf

Results Comparison

ResultsTargetMechanicalError (%)
Maximum Principal Stress (psi)16001614.50.906
Directional Deformation Z (in)-0.042667-0.0427550.206