A steel solid is subjected to following set of principal stresses: o1 = 300 MPa and o2 = 250 MPa. Assuming u = 0.25 and elasticity modulus as 2 x 10° MPa, calculate the strain energy per unit volume in N-mm. (Round off to 2 decimals places).
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- 3. The distribution of stress in an aluminum machine component is given (in megapascals) by Ox = y + z? Oy = x + z Oz = 3x + y Txy = 3z2 Tyz = x Txz = %3D Calculate the state of strain at a point positioned at (1,2,4). Use E=70 GPa and v = 0.3A steel bar, whose cross section is 0.60 inch by 4.10 inches, was tested in tension. An axial load of P = 31,025 lb. produced a deformation of 0.115 inch over a gauge length of 2.10 inches and a decrease of 0.0080 inch in the 0.60-inch thickness of the bar. a. Determine the lateral strain. b. Determine the axial strain. c. Determine the Poisson’s ratio v. d. Determine the decrease in the 4.05-in. cross-sectional dimension (in inches).A steel rod with a cross sectional area of 120 (mm) ^2 is stretched between two fixed points. The tensile load at 20°C is 4200N. What will be the stress at-25°C? a=11.7x [10] ^(-6)/°C and E = 200GPA. See figure 06. * Figure 06 120 MPa 130 MPa 140 MPa 150 MPa
- An aluminum alloy rod has a circular cross section with a diameter of 8 mm. This rod is subjected to a tensile load of 4 kN. Assume that the material is within the elastic region and E = 69 GPa. a. What will be the lateral strain if Poisson’s ratio is 0.33? b. What will be the diameter after load application?2. A steel bar, whose cross section is 0.55 inch by 4.05 inches, was tested in tension. An axial load of P = 30,500 lb. produced a deformation of 0.105 inch over a gauge length of 2.05 inches and a decrease of 0.0075 inch in the 0.55-inch thickness of the bar. Determine the lateral strain. * Your answer Determine the axial strain. Your answer Determine the Poisson's ratio v. * Your answer Determine the decrease in the 4.05-in. cross-sectional dimension (in inches). * Your answerPROBLEM 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
- SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c= 1.7m. a b C P Steel: A-900 mm² Bronze: A=1200 mm² E = 83 GPa L=2.0 m E = 200 GPa L=1.5m What is the value of P without exceeding the allowable stress of bronze, in kN? O 161 O 174 O 145 124 4SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c= 1.7m. a b I Steel: A 900 mm Bronze: A E 200 GPa E 83 GPa L-2.0m L=1.5m What is the value of P without exceeding the allowable stress of steel, in KN? 230 250 280 340 1200 mmSITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c = 1.7m. b C NANTSELEINE Steel: A = 900 mm² E = 200 GPa L=1.5m Bronze: A=1200 mm² E=83 GPa L=2.0m What is the ratio of the elongation of steel to bronze? O 0.367 O 0.433 O 0.467 0.333
- A cylindrical specimen of stainless steel having a diameter of 12.8 mm (0.505 in.) and a gauge length of 50.800 mm (2.000 in.) is pulled in tension. Use the load–elongation characteristics shown in the following table to answer the following: a. Plot the data as engineering stress versus engineering strain. b. Compute the modulus of elasticity. 66 c. Determine the yield strength at a strain offset of 0.002. d. Determine the tensile strength of this alloy. e. What is the approximate ductility, in percent elongation? f. Compute the modulus of resilienceo (ksi) e (in./in.) 33.2 0.0006 45.5 0.0010 49.4 0.0014 51.5 0.0018 53.4 0.0022 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 and the modulus of resilience.Problem 11. [Concepts: Calculating stress from internal forces, nonlinear stress-strain response, elongation from strain.] Acetal plastic has a stress-strain diagram as shown. a) Determine the yield strength assuming a 0.2% offset. b) If a bar of this material has a length of 3 ft and cross-sectional area of 0.875 in², and is subjected to an axial load of 2.5 kip, determine its elongation. c) Determine the modulus of toughness just before it fractures if failure occurs at a = 0.12. σ (psi) a = 9.5(10³) €¹/3 € (in./in.)