HW.1 Determinations of the ultimate tensile strength of a steel sheet, in sizes from 0.4 to 1.6 mm, in 200 tests combined into seven classes were

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HW.1 Determinations of the ultimate tensile strength of a steel sheet, in sizes from 0.4 to 1.6 mm, in 200 tests combined into seven classes were,,,,,,,,,,,,,,,,

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HW # 1 MCEG-4423 MACHINE COMPONENT DESIGN Name:_________________ January 13th, 2020 Problem Section - 80% of the first assignment Due on Wednesday, January 20th ……………………… I pledge neither to give nor receive any final solution to the any other person on this assignment HW.1 Determinations of the ultimate tensile strength Sut of a steel sheet, in sizes from 0.4 to 1.6 mm, in 200 tests combined into seven classes were 𝑆𝑢𝑡 (MPa) f 610 8 630 9 660 42 688 69 720 55 740 10 768 7 where Sut is the class midpoint and f is the class frequency. Estimate the mean and standard deviation. HW.2 A specimen of steel having an initial diameter of 12.8 mm was tested in tension using a gauge length of 50 mm. The following data were obtained for the elastic and plastic states: Elastic State Load P Elongation kg mm 455 910 1400 1820 3200 3820 3985 4160 0.01 0.015 0.0254 0.033 0.058 0.071 0.091 0.23 Plastic State Load P Area Ai kg mm2 4200 4250 4300 6000 6900 7750 7450 6700 128 127.6 126.6 124.1 121 100.8 84.32 69.5 Note that there is some overlap in the data. (a) Plot the engineering or nominal stress-strain diagram using two scales for the unit strain ε, one scale from zero to about 0.02 mm/mm and the other scale from zero to maximum strain. (b) From this diagram find the modulus of elasticity, the 0.2 percent offset yield strength, the ultimate strength, and the percent reduction in area. (c) Characterize the material as ductile or brittle. Explain your reasoning. (d) Identify a material specification from Table A–20 that has a reasonable match to the data. 1|2 HW # 1 MCEG-4423 MACHINE COMPONENT DESIGN Name:_________________ January 13th, 2020 Problem Section - 80% of the first assignment Due on Wednesday, January 20th HW.3 A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 25 percent of the tension on the tight side. (a) Determine the tensions in the belt on pulley B, assuming the shaft is running at a constant speed. (b) Find the magnitudes of the bearing reaction forces, assuming the bearings act as simple supports. (c) Draw shear-force and bending-moment diagrams for the shaft. If needed, make one set for the horizontal plane and another set for the vertical plane. (d) At the point of maximum bending moment, determine the bending stress and the torsional shear stress. (e) At the point of maximum bending moment, determine the principal stresses and the maximum shear stress. Q4. Using singularity functions, write the deflection equation for the steel beam shown. Since the beam is symmetric, write the equation for only half the beam and use the slope at the beam center as a boundary condition. Plot your results and determine the maximum deflection. 2|2 ...
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