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

1. Determine the maximum elongation in a 100-foot steel cable if the maximum strain is 0.003 and the allowable tensile stress is 60,000 psi. 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 maximum elongation to prevent failure in stress or strain is  = 2.48 in.

2. What is the average failure stress for 5 concrete specimens molded in 3" x 6" cylinders where the ultimate loads were 27,100 lbs, 28,500 lbs, 27,500 lbs, 28,100 lbs, and 27,800 lbs, respectively?

   
   
   

    

3. If 2 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 = 0.4 (assume concrete weighs 150 lbs/ft³).

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 1.30 in your mix calculations. Assume a w/c ratio of 0.4 and a mix design of 1:2:2. Assume that concrete weighs 145 lbs/ft³. All weights should be reported in 0.05 lb. increments (just like in the lab).
   

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" x 6" cylinders. Include a "make-sure-you-have-enough" factor of 1.2 in your mix calculations. Assume a w/c ratio of 0.45 and a mix design of 1:3:2. Assume that concrete weighs 145 lbs/ft³. All weights should be reported in 0.05 lb. increments (just like in the lab).

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