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Out of clutter, find simplicity.
From discord, find harmony.
In the middle of difficulty, lies opportunity -
Albert Einstein, The Three Rules of Work
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 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 require to prevent failure?
- If the bar fails at strains greater than 0.050 and the
original length of the bar is L = is 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 of 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 exceed the an
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.
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