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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.

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 required to prevent failure?
   
   
   
   
2. If the bar fails at strains greater than 0.03 and the original length of the bar is L = 30 in., what is the maximum allowable deformation before failure?
   
   
   
   
3. If the material in the bar is considered linear-elastic, the tensile stress is 15,000 psi, and the tensile strain is 0.01, what is the material's modulus of elasticity?
   
   
   
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 exceeding the 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.
   
   
   
   
   The controlling value for the area is that computed in Case 2 - the minimum area to prevent failure in stress or strain is A = 0.344 in².
   

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