A prismatic aluminum bar has cross-sectional dimensions 40 x 60 mm and a length of 350 mm. The modulus of elasticity is 70 GPa and Poisson's ratio is u=0.35. When an axial load of 100 kN is applied, the proportional change in the bar's volume is
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A prismatic aluminum bar has cross-sectional dimensions 40 x 60 mm and a length of 350 mm. The modulus of elasticity is 70 GPa and Poisson's ratio is u=0.35. When an axial load of 100 kN is applied, the proportional change in the bar's volume is
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- The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.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.PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 0.8m 0.4m 5KN 0.6m A 20KN 3) What is the deformation &cn in mm? A=800 mm? A=1,200 mm²
- X Your answer is incorrect. Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.42 in.? and an elastic modulus of 2180 ksi. Bar (2) has a cross-sectional area of 1.139 in.? and an elastic modulus of 4150 ksi. Assume L;-23 in., L2-41 in., Q-6.7 kips, P-3.7 kips, and R-14.1 kips. Determine the horizontal deflection of end Crelative to end A. R (1) (2) P L1 L2 Answer: UCIA - i 0.0725 in.A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as shown in the figure. Axial loads are applied at the positions indicated. If P 4000 Ib and the cross-sectional area of the rod is 1.0 sq.in. What is %3D the stress in the bronze? (in ksi) Note: indicate sign (no sign means positive/tenslon) 4P Steel Bronze Aluminum 2 ft 3 ft 2.5 ftAn 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?
- An aluminum alloy cylinder with a diameter of 76 mm and a height of 150 mm. is subjected to a compressive load of 220 kN. Assume that the mate-rial is within the elastic region and a modulus of elasticity of 75 GPa. a. What will be the lateral strain if Poisson’s ratio is 0.33?b. What will be the diameter after load application?c. What will be the height after load application?An aluminum alloy cylinder with a diameter of 76 mm and a height of150 mm. is subjected to a compressive load of 220 kN. Assume that the material is within the elastic region and a modulus of elasticity of 75 GPa.a. What will be the lateral strain if Poisson’s ratio is 0.33?b. What will be the diameter after load application?c. What will be the height after load application?A 100 mm x 100 mm x 100 mm cube made with glass polymers in the y- direction is subjected to a tensile load of 100 kN along the y-direction. However, the cube is constrained against deformation in the x and z directions. Given the following properties: Ex = 20 GPa Ey = 50 GPa Ez = 20 GPa Vxy = 0.25 Vxz = 0.5 Vyz = 0.25 (a) Compute for the change in length of the cube in the y-direction and; (b) Determine the stresses, ox,Oy,Oz•
- 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 I Bronze: A 1200 mm E83 GPa Lw2.0m What is the value of P Steel: A 900 mm E 200 GPa L=1.5mq7 A steel bar 2 m long, 20 mm wide and 15 mm thick is subjected to a tensile load of 30 kN. If Poisson's ratio is 0.25 and Young's modulus is 200 GPa, an increase in volume will be (b) 150 mm3 (d) 130 mm3 (a) 160 mm3 (c) 140 mm3A composite column is formed by placing a steel bar 20 mm diameter and 200 mm long, inside an alloy cylinder of the same length whose internal and external diameters are 20 mm and 25 mm respectively. The column is then subjected to an axial load of 50 kN. Modulus of elasticity for steel and alloy is 200000MPa and 70000MPa respectively. Which of the following gives the stress in the alloy? a. 74.80 MPa b. 99.74 MPa c. 46.54 MPa d. 132.98 MPa
