A material has the stress–strain behavior shown in Figure P1.2. What is the material strength at rupture? What is the toughness of this material?
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A material has the stress–strain behavior shown in Figure P1.2. What is the material strength at rupture? What is the toughness of this material?
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- Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.A steel alloy specimen having a rectangular cross section of dimensions 19.1 mm x 3.1 mm (0.7520 in. × 0.1220 in.) has the stress-strain behavior shown in the Animated Figure 6.22b. If this specimen is subjected to a tensile force of 98290 N (22100 Ib;) then (a) Determine the amount of elastic strain induced. (b) Determine the amount of plastic strain induced. (c) If its original length is 610 mm, what will be its final length after this force is applied and then released? The elastic modulus for steel is 207 GPa. (a) i (b) i (c) i mm
- S Figure P1.16 shows the stress-strain relations of metals A and B during ten- sion tests until fracture. Determine the following for the two metals (show all calculations and units): a. Proportional limit b. Yield stress at an offset strain of 0.002 m/m. c. Ultimate strength d. Modulus of resilience e. Toughness f. Which metal is more ductile? Why? 900 Metal A 600 Metal B 300 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 Strain, m/m FIGURE P1.16 Stress, MPaFatigue strength for non- ferrous materials in defined at stress cycles 10^3 10^5 10^7 10^9A material has the stress-strain behavior shown figure . What is the yield strength and material strength ? What is the toughness of the material ?
- Figure P1.16 shows the stress–strain relations of metals A and B during tension tests until fracture. Determine the following for the two metals (show all calculations and units): Proportional limit Yield stress at an offset strain of 0.002 in./in. Ultimate strength Modulus of resilience Toughness Which metal is more ductile? Why?1.17 Figure P1.17 shows the stress-strain relations of metals A and B during tension tests until fracture. Determine the following for the two metals (show all calcu- lations and units): a. Proportional limit b. Yield stress at an offset strain of 0.002 in./in. 150 - - Metal A 100 • Metal B 50 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 Strain, in./in. FIGURE P1.17 c. Ultimate strength d. Modulus of resilience e. Toughness f. Which metal is more ductile? Why? Stress, ksiPROBLEM 1 A steel rod with a cross sectional area of 150 mm? is stretched between two fixed points. The tensile load at 20°C is 5000 N. a.) What will be the stress at -20°C? b.) At what temperature will the stress be zero? Assume a = 11 .7 µm/m°C, and E = 200 Gpa *Show geometry of deformation ©sidewar
- 1 The principal stresses at a point in an elastic material are 1.50 (tensile), o (tensile) and 0.50 (compressive). The elastic limit in tension is 210 MPa and μ = 0.3. What would be the value of o at failure when computed by different theories of failure.A round steel alloy bar with a diameter of 19 mm and a gauge length of 76 mm was subjected to tension, with the results shown in Table P3.26. Using a computer spreadsheet program, plot the stress-strain relationship. From the graph, determine the Young's modulus of the steel alloy and the deformation corresponding to a 37 kN load. TABLE P3.26 Deformation, Load, kN mm 9 0.0286 18 0.0572 27 0.0859 36 0.1145 45 0.1431 54 0.1718Q.3: A steel rod with a cross sectional area of 150 mm² is stretched between two fixed points. The tensile load at 20°C is 5000 N. a) What will be the stress at -20°C. b) At what temperature will the stress be zero? Assume a-11.7 μm/m . °C and E= 200 GPa?