|
Out of clutter, find simplicity.
From discord, find harmony.
In the middle of difficulty, lies opportunity -
Albert Einstein, The Three Rules of Work
Objective
The purpose of this assignment is twofold: first, to understand and compute
normal stress and strain values in a uniaxially loaded material, and second, to
begin to consider these quantities in your work for Project #2.
You must
hand in the coversheet for the assignment
and your calculation on engineering paper for Part 1.
Part 1: Consider the linear-elastic prismatic bar fixed on the
left-hand side and loaded by axial forces P at the right-hand side, as shown in
the figure below (assume all measurements are "exact"). In all cases, report
answers to three significant figures.
- If the allowable stress at failure for the material is
25,000 psi and the applied load on the bar is P = 15,000 lb., what is the
minimum area required to prevent failure?
- If the bar fails at strains greater than 0.050 and the
original length of the bar is L = 24 in., what is the maximum
allowable deformation before failure?
- If the material in the bar is considered linear-elastic
and the tensile stress is 25,000 psi and the tensile strain is 0.020, what is the modulus
of elasticity of the material?
- If the original length of the bar is L = 10 ft. and it
deforms 0.15 in., what is the stress in the material if the modulus of
elasticity is 29,000 ksi?
- Determine the cross-sectional area of a steel cable required to support a
15,000 lb. tensile force over 100 ft. while not exceeding the allowable
tensile stress of 45,000 psi or a maximum elongation of 0.10 ft. Assume the
modulus of elasticity of steel is E = 29,000,000 psi.
Part 2. Read Chapter 2 in the
Strategies for Creative Problem Solving by Fogler and LeBlanc.
Coversheet for homework
This website was originally
developed by
Charles Camp for
CIVL
1101.
This site is
Maintained by the
Department of Civil Engineering
at the University of Memphis.
Your comments and questions are welcomed.
|
