An aluminum rod with a semicircular cross section of radius r = 12 mm (Fig. a) is bent int he shape of a circular arc of mean radius p = 2.5 m. Knowing that the flat face of the rod is urned toward the center of curvature of the arc, determine the maximum tensile and compressive stress in the rod. Use E = 70 GPa.
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- 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 mild steel bar, 1.5 m long, has a square section 40 mm x 40 mm. The bar is subjected to a two- dimensional stress, o =310 N/mm² (tensile) and oy=300 N/mm² (compressive). E=2×105 N/mm², Poisson's ratio μ-0.3. The elongation of the bar is the direction of a will beProbleT = - An aluminum bar has diameter d = 40 mm, shear modulus of elasticity G = 27 GPa, and torque T = 300 N.m. (a) Determine the maximum shear, tensile, and compressive stresses in the bar, and show these stresses on sketches of properly oriented stress elements. (b) Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements. |d=40 mm T= 300 N-m
- The shown plate is 60 mm thick and it is made of Magnesium Am1004-T61. The plate is fitted between the rigid frictionless supports as shown and at T, = 20°C it is stress free. Find the stresses in the x and y directions when the temperature increases to T, = 58°C. %3D 150 mm 150 mm Select one: O x: 0 MPa, y: 42.864 MPa Ox: 22.1 MPa, y: 44.2 MPa Ox: 0 MPa, y: 44.2 MPa Ox: 0 MPa, y: 17.8 MPa O x: 13.2 MPa, y: 44.2 MPa Ox: 0 MPa, y: 67.4 MPa 3:10 PM O G 4) ENG 1/31/2021A thin polymer plate PQR is deformed so that corner Q is displaced downward 0.9 mm to new position Q', as shown in. Determine the shear strain at Q' associated with the two edges (PQ and QR). Assume a = 150 mm, b = 216 mm, c = 180 mm, and A = 0.9 mm. a b P R C Answer: Shear strain y = Q i A X urad.A hollow cylinder with an OD of 100mm and an ID of 30mm, supports a load of 100kN. What is the compressive stress in MPa? I am new to the subject but why use .....AC = π * (D2 - d2) / 4 instead of A = π(r12 - r22) to find the cross sectional area of a hollow cylinder ?.
- 30. An aluminum alloy rod has a circular cross section with a diameter of 8mm. The rod is subjected to a tensile load of 5kN. Assume that the material is in the elastic region and E = 69 GPa. If Poisson's Ratio is 0.33, what will be the lateral strain? E= 6/8 v = -E(lateral)/(axial)AN ALUMINUM TUBE IS FASTENED BETWEEN A STEEL ROD AND BRONZE ROD AS SHOWN IN THE FIGURE. AXIAL LOADS ARE APPLIED AT THE POSITIONS INDICATED. FIND THE VALUE OF P THAT WILL NOT EXCEED A MAXIMUM OVERALL DEFORMATION OF 5mm OR A STRESS IN THE STEEL OF 120MPa, IN BRONZE OF 130 MPa AND IN ALUMINUM OF 90 MPa. Modulus of Elasticty of Bronze = 80 GPa, Aluminum = 65 GPa and Steel = 210 GPa. 2P P 3P 4P L = 500mm 800 A = 400mm² 900 600 700 CA 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 ft
- A small aluminum alloy [E = 76 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 180 mm. The cross-sectional dimensions of the tee shape are b = 24 mm, d = 36 mm, and t = 4 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 430 με is measured from a strain gage located at c = 10 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P?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. b C P Steel: A=900 mm² E = 200 GPa L=1.5m Bronze: A 1200 mm E=83 GPa L=2.0m What is the value of P without exceeding the allowable stress of bronze, in kN? 174 145 161 124A small aluminum alloy [E = 71 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 120 mm. The cross- sectional dimensions of the tee shape are b = 17 mm, d = 26 mm, andt = 6 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 460 µɛ is measured from a strain gage located at c = 10 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? P P ЗР Strain gage C |D H Answer: P = N