"It's not that I'm so smart, it's just that I stay with problems longer." - Albert Einstein

Part 1

1. Determine the maximum elongation in a 100-ft. steel cable if the maximum strain is 0.0035 and the allowable tensile stress is 50,000 psi. Assume the modulus of elasticity of steel is E = 29,000,000 psi.
   
   
2. What is the average failure stress for 5 concrete specimens molded in 3 in. x 6 in. cylinders where the ultimate loads were 29,100 lb., 28,800 lb., 27,500 lb., 28,500 lb., and 28,800 lb., respectively?
   
   
3. If 3 cubic yards (yd³) of concrete are ordered for a project, estimate the weight of cement, fine aggregate, coarse aggregate, and water required for a 1:2:3 mix with a w/c = 0.35 (assume concrete weighs 150 lb./ft.³).
    

4. Determine the amount of cement, fine aggregate, coarse aggregate, and water required to mix and construct five beams, each having the dimensions shown in the figure below. Include a "make-sure-you-have-enough" factor of 1.5 in your mix calculations. Assume a w/c ratio of 0.4 and a mix design of 1:2:2. Assume that concrete weight 145 lb./ft.³. All weights should be reported in 0.05 lb. increments (just like in the ab).
   

5. Rework Problem #4 to determine the amount of cement, fine aggregate, coarse aggregate and water required to mix, and construct two beams, each having the dimensions shown in the figure above, and five 3 in. x 6 in. cylinders. Include a "make-sure-you-have-enough" factor of 1.5 in your mix calculations. Assume a w/c ratio of 0.45 and a mix design of 1:3:2. Assume that concrete weight 145 lb./ft.³. All weights should be reported in 0.05 lb. increments (just like in the lab).

Part 2: Read Chapters 3 and 4 in the Strategies for Creative Problem Solving by Fogler and LeBlanc.

Coversheet for homework

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