Category: Writing

An L-shaped plate (Figure P12–2) with thickness 0.1 in. is
made of ASTM A-36 steel. Determine the deflection under the load and the
maximum principal stress and its location using the plate element. Then model
the plate as a grid with two beam elements with each beam having the sti¤ness
of each L-portion of the plate and compare your answer.

A square steel plate (Figure P12–1) of dimensions 20 in.
20
in. with thickness of 0.1 is clamped all around. The plate is subjected to a
uniformly distributed loading
of 1 lb/in
2
. Using a 2
2
mesh and then a 4
4 mesh, determine the maximum
deflection and maximum stress in the plate. Compare the finite element solution
to the classical one in [1].

A bicycle stem is shown in Figure P11–25. The stem attaches
the handlebars to the steerer tube of the fork. The stem is made of 7075-T6
aluminum alloy with yield strength of 504 MPa. The load of 1200 N is spread
over the mounting surface to the handlebar in the x-y plane and acts at a 45o
angle from the axis of the stem. The inner surface of the stem that attaches to
the steerer tube is fixed in translation in the y-direction and in rotation about
the y-axis. Determine the largest von Mises stress and its location on the
stem. (This problem is courtesy of Stephen Wilson.)

The lower arms of a front-end loader are shown in Figure
P11–24. The loader material is AISI 1010 cold drawn steel with a modulus of
elasticity of 29:7
10
6
psi and Poisson’s
ratio of 0.29. The yield strength of the material is 44,200 psi. In the finite
element model, the back faces of the top horizontal members are fixed.
Determine the maximum force that can be applied to the bottom of the left arm
to cause yielding of the arm. You may want to try loads that are vertical
(y-directed) and lateral (z-directed). (This problem is compliments of Quentin
Moller.)

A swivel C bracket shown in Figure P11–23 is mounted to a
ceiling of a building and has a speaker (not shown) of 20 lbf hanging from each
mounting hole. The mounting bracket is made of A 36 steel with a modulus of
elasticity of 29
10
6
psi, Poisson’s ratio
of 0.29, and yield strength of 36,000 psi. Determine the maximum von Mises
stress and deflection in the bracket. (This problem is compliments of Tyler
Austin and Kyle Jones.)