The stress-strain diagram for a steel alloy having an original diameter of 0.5 in. and a gage length of 2 in. is given in the figure. If the specimen is loaded until it is stressed to 70 ksi, determine the approximate amount of elastic recovery and the increase in the gage length after it is unloaded.
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- A tensile test specimen of 1045 hot-rolled steel having a diameter of 0.505 in. and a gage length of 2.00 in. was tested to fracture. Stress and strain data obtained during the test are shown. Determine the modulus of elasticity. Stress (ksi) 240 200 160- 120- 80 40- 0+ 0 0 Upper scale O 79100 ksi E O 94000 ksi O 86700 ksi O 63200 ksi O 51900 ksi Lower scale. 0.025 0.050 0.075 0.100 0.125 0.150 0.175 0.002 0.004 0.006 0.008 0.010 0.012 0.014 Strain (in./in.)Part B 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. Determine the modulus of elasticity. VO AEO vec ? E = ksi Submit Request Answer Figure 1 of 1 Part C σ (ksi) e (in./in.) Determine the modulus of resilience. ΑΣφ ? vec 33.2 0.0006 45.5 0.0010 in-lb Up = in 49.4 0.0014 51.5 0.0018 Submit Request Answer 53.4 0.0022A tension test was performed on a steel specimen having an original diameter of 12.5 mm and gauge length of 50 mm. The data is listed in the table. Plot the stress–strain diagram and determine approximately the modulus of elasticity, the yield stress, the ultimate stress, and the rupture stress. Use a scale of 25 mm = 140 MPa and 25 mm = 0.05 mm/mm. Redraw the elastic region, using the same stress scale but a strain scale of 25 mm = 0.001 mm/mm.
- Tensile test specimens are extracted from the "X" and "y" directions of a rolled sheet of metal. "x" is the rolling direction, "y" is transverse to the rolling direction, and "z" is in the thickness direction. Both specimens were pulled to a longitudinal strain = 0.15 strain. For the sample in the x-direction, the width strain was measured to be ew= -0.0923 at that instant. For the sample in the y-direction, the width strain was measured to be gw=-0.1000 at that instant. The yield strength of the x-direction specimen was 50 kpsi and the yield strength of the y-direction specimen was 52 kpsi. Determine the strain ratio for the x direction tensile test specimen. Determine the strain ratio for the y-direction tensile test specimen. Determine the expected yield strength in the z-direction. Give your answer in units of kpsi (just the number). If the sheet is plastically deformed in equal biaxial tension (a, = 0, to the point where & = 0.15, calculate the strain, 6, that would be expected.The specimen shown has been cut from a 5-mm-thick sheet of vinyl (E= 3.10 GPa) and is subjected to a 1.5-kN tensile load. It is given that /= 58 mm. Dimensions in mm A в 10 D P'= 1.5 kN P = 1.5 kN 25 25 - 40- Determine the total deformation of the specimen. The total deformation of the specimen is mm.A tensile test specimen of 1045 hot-rolled steel having a diameter of 0.505 in. and a gage length of 2.00 in. was tested to fracture. Stress and strain data obtained during the test are shown. Determine the yield strength (0.20% offset). Stress (ksi) 180 150- 120- 90 60 30- 0 0 0 Upper scale O 77 ksi O 56 ksi O 103 ksi O 86 ksi O 62 ksi Lower scale. 0.025 0.050 0.075 0.100 0.125 0.150 0.175 0.00 0.004 0.006 0.008 0.010 0.014 Strain (in./in.)
- 8-2. 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. o (MPa) e (mm/mm) 232.4 318.5 0.0006 0.0010 345.8 0.0014 0.0018 360.5 373.8 0.0022The stress-strain diagram for a steel alloy having an original diameter of 0.7 in. and a gage length of 4 in. is shown in (Eigure 1). The specimen is loaded until it is stressed to 70 ksi. Figure (ksi) 80 70 60 50 40 30 20 10 0 0 0.04 0.05 0.12 016 020 024 028 0 000050001 DEBES 000200 Determine the approximate amount of elastic recovery. Express your answer in inches to three significant figures. IVE ΑΣΦ. It Ivec Amount of Elastic recovery => Submit Part B Determine the increase in the gage length after it is unloaded. Express your answer in inches to three significant figures. VAX Request Answer Permanent elongation=Q2 A tensile test specimen having a diameter of (10 mm) und a page length of (S0 mm) was tested to fracture The stieisitrain curve from the tensiotn test is shown in Figure (9) The lower plat is the expanded tegion OAT and associatod with the strain valuns tiven on the lower scale Determine, 480 Lpper veile AB 241 Loser scale + The ultimaie stress, be The propotional limit, 120 e The fracture strees 4 The modulus of elasticity, OAK 0.04 0.0s 0.00 0.12 0.16 1.20 0K2 DANN 0.006 0.008 0.010 e T'he offiet yield stuen at 0.2%, Strain tmm/um) G The asial force ucting on the specireni whert t i uxtended by Figuie (3) a sans
- The shear stress-shear strain diagram for a material is shown. The bolt used to hold the lap joint is made of this material and has a diameter of 0.35 in. The material has a Poisson's Ratio of 0.2. T (ksi) F T1 G = Values for the figure are given in the following table. Note the figure may not be to scale. Variable T1 Y1 Value 40 ksi 0.003 rad 71 -7 (rad) a. Determine the Shear Modulus of the allow, G. b. Determine the Elastic Modulus of the allow, E. c. Determine the force required to cause the material to yield, F. Round your final answers to 3 significant digits/figures. ksiThe results of a laboratory test that is used to assess the mechanical or failure characteristics of metals are shown below. Select labels for both of the plot axes. Х-аxis Stress Y-axis Impact energy Stress amplitude Strain Time eTe Cycles to failure TemperatureA tensile test specimen of 1045 hot-rolled steel having a diameter of 0.505 in. and a gage length of 2.00 in. was tested to fracture. Stress and strain data obtained during the test are shown. Determine the ultimate strength. Stress (ksi) 60 50- 40- 30- 20 10- 0 0 0 Upper scale O 66 ksi 28 ksi O 72 ksi O 53 ksi O 62 ksi Lower scale. 0.025 0.050 0.075 0.100 0.125 0.150 0.175 0.002 0.004 0.006 0.008 0.010 0.012 0.014 Strain (in./in.)