Spring 2017 Review – J. Olek P.80 Reference handbook V. 9.4 Problem #1 1 Spring 2017 Review – J. Olek Problem #2 p. 81 Reference handbook V. 9.4 ***************************************************** 2 Spring 2017 Review – J. Olek Problem #3 3 Spring 2017 Review – J. Olek Problem #4 p. 81 Reference handbook V. 9.4 ******************************************************* 4 Spring 2017 Review – J. Olek p. 80 Reference handbook V. 9.4 Problem #5 5 Spring 2017 Review – J. Olek Problem #6 p. 81 Reference handbook V. 9.4 A 50 mm cube of steel is subjected to a uniform pressure of 200,000 kN/m2 acting on all faces. E=200 GN/m2 and ν=0.25. Determine the strain in each direction a) b) c) d) e) ‐ 100µ ‐ 25µ ‐ 850µ 400µ ‐500µ Determine the change in dimension between two parallel faces of the cube 6 Spring 2017 Review – J. Olek Problem #7 p. 80 Reference handbook V. 9.4 7 Spring 2017 Review – J. Olek Problem #8 8 Spring 2017 Review – J. Olek Problem #9 9 Spring 2017 Review – J. Olek Problem #10 (Kaplan, 2014) p. 80 Reference handbook V. 9.4 10 Spring 2017 Review – J. Olek Problem # 11 9 (Kaplan, 2014) p. 82 Reference handbook V. 9.4 11 Spring 2017 Review – J. Olek PRACTICE PROBLEMS 1. It is known that the polar moment of inertia J= D4/32, what is the torsion stress in a shaft 8in in diameter if the applied torque is T=250ft‐lb? A) 2.5psi B) 30psi C) 5psi D) 60psi 2. A shaft is subjected to a torque T. The strain at the outside of the shaft is 3.2 x 10‐3. What is the strain at the center of the shaft? A) 3.2x10‐3 B) 1.6x10‐3 C) 0 D) ‐3.2x10‐3 12 Spring 2017 Review – J. Olek 3. A steel bar ad with a constant cross‐sectional area of 1,000 mm2 is subject to four uniaxial forces as shown below. Calculate the total elongation of the bar, if E = 250 GPa. A) 2.9 mm, B) 3.5 mm C) 4.8 mm D) 9.6 mm 13 Spring 2017 Review – J. Olek 4. The following preliminary concrete mix has been designed assuming that the aggregates are in the oven‐dry condition (NCEES 2014) Water = 395 lb/yd3 Cement = 693 lb/yd3 Coarse aggregate (SSD) = 1,674 lb/yd3 Fine aggregate (SSD) = 1,100 lb/yd3 The properties of the aggregate are Property Absorption (moisture content at SSD) Moisture content as used in the mix Coarse aggregate 0.5% 2.0% Fine aggregate 0.7% 6.0% The amount of water (lb/yd3) that would be used in the final mix is most nearly A: 206 B: 222 C: 305 D: 388 5. What significant concrete technology advancement was made in the 1930s to provide relief from internal pressure? A. Cement‐based composites B. Air‐entrainment C. Self‐compacting concrete D. Non‐destructive testing 14 Spring 2017 Review – J. Olek 6. Which of the following statements regarding concrete used as a building material are generally considered to be correct? 1. Commonly composed of water, cement, aggregate, and admixtures 2. Design criteria is established by the American Society of Civil Engineers (ASCE) 3. Concrete strength is normally tested at 28 days 4. Concrete mixes vary by specific use requirements A. 1, 2 B. 1, 3 C. 1, 2, 3 D. 1, 3, 4 7 What significant concrete technology advancement was made in the 1930s to provide relief from internal pressure? A. Cement‐based composites B. Air‐entrainment C. Self‐compacting concrete D. Non‐destructive testing 8. Which of the following materials are sampled and tested by an inspector at a construction site? A. Aggregate B. Hydraulic cement C. Reinforcing steel D. Fresh concrete mix 9. What property of a metal refers to its ability to be hammered into sheets? A. Ductility B. Thermal conductivity C. Electrical conductivity D. Malleability E. Density 15 Spring 2017 Review – J. Olek 10. A brick weights 8 lbs in air and 5.5 lbs in water. Determine the volume of the brick A) 1.09 ft3, B) 0.04 ft3 C) 0.50 ft3 D) 0.83 ft3 16
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