stress in each material
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- 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 Steel 8 mm 8 mm Aluminum 24 mm Determine the maximum stress in aluminum when the bar is bent about a horizontal axis, with M= 66 N-m. The maximum stress in aluminum is MPа.The composite bar is firmly attached to unyielding supports. The bar is stress-free at 50°F. Compute the stress in each material after the 80-kip force is applied and the temperature is increased to 100°F. Use a = 6.5 x106/°F for steel and a = 12.8 x106/°F for aluminum. Aluminum A = 2 in.² E = 10 x 106 psi 15 in. Steel A = 3 in.2 E = 29 × 106 psi 80 kips 10 in.A flat bar of aluminum alloy 25 mm wide and 5 mm thick is placed between two steel bars each 25 mm wide and 10 mm thick to form a composite bar 25 mm x 25 mm as shown. The three bars are fastened together at their ends when the temperature is 15℃. Find the stress in each of the materials when the temperature of the whole assembly is raised to 55 ℃.Steel: Es = 200 GPa; Coefficient of expansion = 1.2x10^-5/℃.Aluminum: Eal = 200/3 GPa; Coefficient of expansion = 2.3x10-5/℃.
- An axial centric force of magnitude P = 450 kN is applied to the composite block shown by means of a rigid end plate. Knowing that h = 10 mm, determine the normal stress in (a) the brass core, (b) the aluminum plates. (CLARIFY YOUR SOLUTION) Aluminum plates (E = 70 GPa) 300 mm h Brass core (E = 105 GPa) 40 mm h Rigid end plate 60 mmThe composite bar is firmly attached to unyielding supports. Compute the stress (psi) in each material caused by the application of the axial load P = 50 kips Aluminum A = 1.25 in? E = 10 x 10° psi Steel A = 2.0 in? E = 29 x 10° psi 15 in 10 inA composite beam is made of two brass [E - 111 GPa] bars bonded to two aluminum [E - 72 GPa] bars, as shown. The beam is subjected to a bending moment of 250 N-macting about the z axis. Using a - 10 mm, b- 65 mm, c- 20 mm, and d- 45 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Aluminum Brass Brass Aluminum Answers: (a) Oa i MPa (b) Oer MPa Save for Later Attempts: 0 of 1 used Submit Answer
- A composite beam is made of two brass [E = 99 GPa] plates bonded to an aluminum [E = 72 GPa] bar, as shown. The beam is subjected to a bending moment of 2010 N-m acting about the z axis. Assume b-44 mm, d₁-37 mm, d₂-11 mm. Determine: (a) the maximum bending stresses Obr, al in the brass plates and the aluminum bar. (b) the stress in the brass brj at the joints where the two materials are bonded together. Brass (2) Aluminum (1) Brass (2) Answers: (a) Obr = (b) Obrj = i b d₂ d₁ MPa, oal = MPa. MPa.A composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 73 GPa] bars, as shown. The beam is subjected to a bending moment of 445 N-m acting about the z axis. Using a = 15 mm, b = 125 mm, c = 30 mm, and d = 75 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Z Aluminum C Aluminum Answers: (a) Ogl Brass (b) Obr= i i b Brass a MPa MPaThe 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. Aluminum Eal = 10(10³) ksi AAB=0.09 in² 2.00 kip -18 in- Copper Steel Ecu=18(10³) ksi Est = 29(10³) ksi ABC = 0.12 in² ACD= 0.06 in² 3.50 kip HK 3.50 kip -12 in.- 1.75 kip 1.75 kip -16 in 1.50 kip
- A composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 70 GPa] bars, as shown. The beam is subjected to a bending moment of 400 N-m acting about the z axis. Using a = 15 mm, b = 100 mm, c = 30 mm, and d = 65 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Aluminum y Brass Aluminum b Brass C a dA composite beam is made of two brass [E = 110 GPa] bars bonded to two aluminum [E = 71 GPa] bars, as shown. The beam is subjected to a bending moment of 260 N-m acting about the z axis. Using a = 10 mm, b = 85 mm, c = 20 mm, and d = 55 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Aluminum С Aluminum Answers: (a) Jal= Brass (b) Obr= i b Brass a MPa MPaAn 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?