0 MPa. Using the distortion-energy and maximum-shear-stress theories, termine the factors of safety for the following plane stress state: 7E MP.
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- A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?Required Information For a bar of AISI 1015 cold-drawn steel, determine the factor of safety using the distortion-energy and maximum-shear- stress theories for the following principal stresses. A = 28 kpsl, and og = 15.5 kpsi The factor of safety from the maximum-shear-stress theory is 1.94 1.88 and the factor of safety from distortion-energy theory isQ3b. The stress-strain characteristic curves for materials A, B and C are shown below. Which one statement most accurately describes the relative toughness and ductility for materials A, B & C? Material A Material B Material C Strain Select one: a. Material A has low toughness, Material B has high ductility and Material C has low toughness. b. Material A has high toughness, Material B has low ductility and Material C has low toughness. c. Material A has low ductility, Material B has low toughness and Material C has low toughness. d. Material A has high ductility, Material B has low toughness and Material C has high toughness. Stress
- 2. Consider a bar of AISI 1015 cold-drawn steel. Using the distortion-energy and maximum-shear-stress theories to determine the factors of safety for a stress state with the following plane principal stresses: 04 = 30 kpsi, OB = 15 kpsi.Question # 2 A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortion-energy and maximum-shear-stress theories, analyze the following plane stress states/principal stresses. 30 kpsi, og = - 30 kpsi OA = 30 kpsi, oß = 15 kpsi OA = -30 kpsi, oß = -15 kpsi| (g) (h) (i) - 15 kpsi|Sketch a tensile member with (a) a rectangular crosssection, (b) a solid circular cross section, and (c) a circulartubecross section, and label the dimensions symbolically (e.g.,label the radius for the solid circular case). For each member, write out the definition of engineering stress in terms of the actual dimensions of the component. If therectangular member has dimensions of width and thicknessequal to 1 cm 0.3 cm, what would be the radius of a solidcircular member such that the stress is equal for an equaltensile load? If a tube has an outer radius equal to that ofthis same solid cylinder, what is the maximum inner radiussuch that the stress does not exceed 200% of the stress inthe solid cylinder?
- 2. In the stress-strain curve for steel shown below, identify following stresses in ksi and write their values in the space below: 2.1. Yield Point: ksi 2.2. Ultimate Tensile Strength: ksi 60- 400 350 50 300 E 40 250 30 200 150 20 100- 10 50 0. Strain, in/in or m/m J stv A Aa Stress, MPa Stress, ksiA steel cylinder (Est = 200 GPa and G = 79 GPa) undergoes an azial compression in which its diameter increases from 10 mm to 10.045 mm. If its final length is 123.00 mm, what was its original length?1. A ductile hot-rolled steel bar has a yield strength in tension and compression of 350 MPa. Using the distortion-energy and maximum-shear-stress theories, determine the factors of safety for the following plane stress state: 75 MPa 50 MPa 50 MPa
- At a point in a bar of cast iron, the principal stresses are 60 MPa tensile and 120 MPa compressive whereas the third principal stress is zero. Find the factorsof safety based on the elastic limit when the criterion of failure is principal stress theory. Assume the elasticlimit of cast iron is 90 MPa in tension and 440 MPa in compressionIn the picture there is a sketch of a socket wrench. Assume the wrench is held at a fixed point “A”. The yield stress of the material is known to be 400 MPa. Answer the questions below Describe the stresses at point “A” and their causes and calculate the stresses. Determine the factor of safety against yield assuming the Tresca yield criteria. Determine the factor of safety against yield assuming the von Mises yield criteria using both principal stresses and “Cartesian” stresses. Do your values match or not, and is this expected? Explain. Do the calculated values make sense with the respect to the Tresca value? Explain, why or why not?A machine component is subjected to flexural stress which fluctuates between + 280 MPa and – 137 MPa. Determine the value of: 1. Stress range 2. Stress ratio