L08: Bending of a Tapered Cantilever

Owned by Gokhan Alkan (Unlicensed)
Last updated: Mar 11, 2019

A tapered plate of rectangular cross-section is subjected to a load P at its tip. The plate is steel with 20 inches of span. The load P is 10 lbs. Determine the maximum deflection in the plate and the stress.



The model has 15 joints and 13 plate elements. The 3-node (triangular) plate elements are used in the model. The joints 8 and 18 are fixed supports.

Linear static analysis with one (1) load case is performed.


Modulus of Elasticity = 30,000,000 psi
Poisson's Ratio = 0.0
G = 15,000,000 psi
Plate Thickness = 0.50 inches
Span = 20 inches
P = 10 lb. (applied in the negative Z direction at joint 1)





Tested Features


Sources

  • Harris, p. 114, problem 61.
  • LARSA 4D