CIVL 1101 - Assignment #4

 Name: ________________________

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").

  1. If the allowable stress at failure for the material is 15,000 psi and the applied load on the bar is P = 5,000 lb., what is the minimum area require to prevent failure?

  2. If the bar fails at strains greater than 0.03 and the original length of the bar is L = is 30 in., what is the maximum allowable deformation before failure?

  3. If the material in the bar is considered linear-elastic and the tensile stress is 15,000 psi and the tensile strain is 0.01, what is the modulus of elasticity of the material?

  4. If the original length of the bar is L = 10 ft. and it deforms 0.12 in., what is the stress in the material if the modulus of elasticity of 29,000 ksi?

  5. Determine the cross-sectional area of a steel cable required to support a 10,000 lb. tensile force over 100 ft. while not exceed the an allowable tensile stress of 60,000 psi or a maximum elongation of 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.