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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
Objective
The purpose of this assignment is twofold: first, you will get familiar with
the fundamental ideas of stress and strain, and second, you will continue your
study of engineering problem-solving.
You must hand in a copy of the
cover sheet
for the assignment and your solutions to Part 1 on engnieering paper. There are no Canvas submissions for this
assignment.
Problems
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
σ = 15,000 psi and the applied load on the bar is P = 5,000 lb., what is the
minimum area A required to prevent failure?
- If the bar fails at strains ε > 0.03 and its
original length is L = 30 in., what is the maximum
allowable deformation δ before failure?
- If the material in the bar is considered linear-elastic, the tensile
stress σ = 15,000 psi, and the tensile strain is ε = 0.01, what is the material's
modulus of elasticity E?
- If the original length of the bar is L = 10 ft. and it
deforms δ = 0.12 in., what is the stress σ in the material if the modulus of
elasticity E = 29,000 ksi?
- Determine the cross-sectional area A of a steel cable
required to support a 10,000 lb. tensile force over 100 ft. while not exceeding the
allowable tensile stress of σ = 60,000 psi or a maximum elongation of δ = 0.1 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.
Cover sheet 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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