A hollow circular shaft has an external diameter of 120 mm and internal diameter 60 mm. if the stresses at inner fiber and outer fiber are found to be 20 MPa and 40 MPa. What is the ratio of angle of twist at inner and outer fiber?
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- A tensile test was performed on a metal specimen having a circular cross section with a diameter 0. 510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are, shown in Table: 1.5.1. a. Prepare a table of stress and strain. b. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them. c. Determine the modulus of elasticity as the slope of the best-fit line.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 B 5KN 0.6m AL 20KN What is the deformation &pE in mm? A=800 mm² A=1,200 mm²PROBLEM 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 B 5KN 0.6m Al 20KN Q2 5) What is the deformation 8, in mm? A=800 mm? A=1,200 mm?
- ! Required information A steel bar (Es= 210 GPa) and an aluminum bar (Ea = 70 GPa) are bonded together to form the composite bar shown. 8 mm 8 mm 8 mm Aluminum 24 mm -Steel Determine the maximum stress in steel when the bar is bent about a horizontal axis, with M= 56 N.m. The maximum stress in steel is - MPa.The composite bar shown in the figure is firmly attached to unyielding supports. An Axial force P = 52 kips is applied at 65°F. Compute the stress (ksi) in the Aluminum at 116 °F. Assume a = 6.5 x 10-6/° F for steel and 12.8 x 106/°F for aluminum Given: L1 = 15in; L2 = 11in Your final answer should contain two decimal places Steel A = 3 in² E = 29 x 106 psi Correct Answer: 3.92 L2 Aluminum A = 2 in² E = 10 x 106 psi L1The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. Determine the displacement of end A with respect to end D and the normal stress in each section. The cross-sectional area and modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C. Steel Eg = 200 GPa Acp= 39 mm? Aluminum Соpper Eg = 70 GPa AAB= 58 mm? Ecu = 126 GPa ABc = 77 mm? 16 kN 8 kN 9 kN 7 kN 16 kN 8 kN – 450 mm- -300 mm- 400 mm-
- 7. A solid aluminum cylinder is placed within an ASTM A501 steel tube as shown. Compute the stresses in the two materials with an applied load of 45,000 lbs. 45,000 lbs 3.5"Ø 3.0"Ø Steel AluminumThe composite bar shown in the figure is firmly attached to unyielding supports. An Axial force P 52 kips is applied at 65° F. Compute the stress (ksi) in the Aluminum at 116 °F. Assume a = 6.5 x 106/° F for steel and 12.8 x 106°F for aluminum Given: L1 = 17in; L2 = 13in %3D %3D Your final answer should contain two decimal places Aluminum A = 2 in? E = 10 x 10 psi Steel A = 3 in? E = 29 x 10 psi L1 - L2QI/ An aluminum bar carries the axial loads at the positions shown in Fig. 1, below. The diameter for part AB, BC and CD is 35 mm, 40 mm and 30 mm, respectively. The elastic modulus for aluminum is 72.4 x 10 N/mm. Determine the internal stresses at section (A-B), (B-C) and (C- D), and the elongation (AL) in length at each part of aluminum due to loading. в D 37 kN 10 kN 45 kN 18 kN 1000 mm 800 mm I 600 mm Fig. 1
- The composite bar in the figure is stress-free before the axial loads P₁ and P2 are applied. Assuming that the walls are rigid, calculate the stress in each material if P₁= 150 kN and P₂ = 90 kN. Aluminum Steel Bronze A = 900 mm² A = 2000 mm² A = 1200 mm² E = 70 GPa E = 200 GPa E = 83 GPa P₁ 500 mm P₂ 250 mm 350 mm (a) Determine the stress in the aluminum. (b) Determine the stress in the steel. (c) Determine the stress in the bronze.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 mm²A composite bar is rigidly attached to the wall at A as shown in the figure. Axial loads are applied at the positions indicated. 3 m 2.5 m C 1200 kN 900 kN 80mmØ 100mmØ E = 83 GPa Bronze E = 200 GPa Steel Which of the following most nearly gives the deformation of C? a. -0.7855 mm О Ъ. +0.8575 mm c. +0.7855 mm o d. - о.8575 mm