Mechanic of materials, engineering homework help

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T-Mobile LTE 6:56 PM @ 1 61% HOMEWORK 1b a PROBLEMS -3-1. A concrete cylinder having a diameter of 6.00 in, and gauge length of 12 in. is tested in compression. The results of the test are reported in the table as load versus contraction. Draw the stress-strain diagram using scales of 1 in. =0.5 ksi and 1 in. = 0.2110-2 in.>in. From the diagram, determine approximately the modulus of elasticity. *3-4. A tension test was performed on a specimen having an original diameter of 12.5 mm and a gauge length of 50 mm. The data are listed in the table. Plot the stress-strain diagram, and determine approximately the modulus of elasticity, the ultimate stress, and the fracture stress. Use a scale of 20 mm = 50 MPa and 20 mm = 0.05 mmmm. Redraw the linear-elastic region, using the same stress scale but a strain scale of 20 mm = 0.001 mm>mm. 3-5. A tension test was performed on a steel specimen having an original diameter of 12.5 mm and gauge length of 50 mm. Using the data listed in the table, plot the stress-strain diagram, and determine approximately the modulus of toughness. Use a scale of 20 mm = 50 MPa and 20 mm = 0.05 mm>mm. Load (kip) Contraction (in.) 0 5.0 9.5 16.5 20.5 25.5 30.0 34.5 38.5 46.5 50.0 53.0 0 0.00X6 0.0012 0.0020 0.0026 0.0034 0.0040 0.00445 0.0050 0.0X2 0.00 0.0075 Load (kN) Elongation (mm) Prob. 3-1 0 11.1 31.9 37.8 40.9 43.6 53.4 62.3 64 5 62.3 58.8 0 0.0175 0.0600) 0.1020 0.1650 0.2490) 1.0160 3.0480 6,3500 8.8900) 11.9380 3-2. Data taken from a stress-strain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Plot the diagram, and determine the modulus of elasticity and the modulus of resilience 3-3. Data taken from a stress-strain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Plot the diagram, and determine approximately the modulus of toughness. The rupture stress is si = 53.4 ksi. Probs. 3.4/5 3-6. A specimen is originally 1 ft long, has a diameter of 0.5 in., and is subjected to a force of 500 lb. When the force is increased from 500 lb to 1800 lb, the specimen elongates 0.009 in. Determine the modulus of elasticity for the material if it remains linear elastic. S (ksi) Pin./in.) 0 33.2 455 49.4 51.5 53.4 0 0.0XXX 0.0010 0.0014 0.0018 0.00122 3-7. A structural member in a nuclear reactor is made of a zirconium alloy. If an axial load of 4 kip is to be supported by the member, determine its required cross-sectional area. Use a factor of safety of 3 relative to yielding. What is the load on the member if it is 3 ft long and its elongation is 0.02 in.? Ex = 14(10) ksi, Sy = 57.5 ksi. The material has clastic behavior. Probs. 3-2/3 幻 T-Mobile LTE 6:56 PM 4 61% HOMEWORK 1b Submit Due Date Points Sunday, July 16, 2017 5 E 11:59 PM Solve problems 3-1, 3-3 and 3-6 on the attached file. Attach the scanned file with your solution. (Due on July 16th at 11:59 p.m.) HOMEWORK 1b.pdf ASSIGNMENT SUBMISSION Text Submission Write Submission
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Mechanics of Materials
3-1
Given the information:
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from the graph:
Modulus of elasticity =Stress/strain=0.68/0.0002=340...


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