A composite bar shown below made of steel and copper. The coefficients of expansion of steel and copper are a and 1.25 a respectively while the elastic moduli are E and 0.5 E respectively. Estimate the stress induced in the members due to temperature rise by T°C. Copper Copper A 2A L/2 Steel L/2
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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.A 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! 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.
- 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 =110GPa) to two aluminum bars (E = 70GPa), as shown. The beam is subjected to a bending moment of 380 N-m acting about the z-axis. Using a = 5mm, b = 40mm, c = 10mm, and d = 25mm. Calculate: a) the maximum bending stress in the aluminum bars b) the maximum bending stress in the brass barsQ2: A composite beam is made of two brass [E =100 GPa] plates bonded to an aluminum [E =75 GPa] bar, as shown in Figure below. The beam is subjected to a bending moment of 1200 N-m acting about the z axis. Determine: (a)the maximum bending stresses in the brass plates and the aluminum bar. (b) the stress in the brass at the joints where the two materials are bonded together.
- A composite beam is made of two brass [E = 97 GPa] plates bonded to an aluminum [E = 72 GPa] bar, as shown. The beam is subjected to a bending moment of 2420 N-m acting about the z axis. Assume b=64 mm, d1=36 mm, d2=13 mm. Determine: (a) the maximum bending stresses opy,Gal in the brass plates and the aluminum bar. (b) the stress in the brass obrj at the joints where the two materials are bonded together. Brass (2) d2 Aluminum (1) Brass (2) dz b Answers: (a) obr = i MPa, oal = i MPа. (b) Obrj MPa.The 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 kipA 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 MPa
- The composite bar is firmly attached to unyielding supports. The bar is stress-free at 60° F. Compute the stress in each material after the 50-kip force is applied and the temperature is increased to 120° F. Use a = 6.5 x 10-6/°F for steel and a = 12.8 x 10-0/°F for aluminum. Aluminum Steel A = 2 in.2 E = 10 × 10° psi A = 3 in.2 E = 29 × 106 psi 50 kips -15 in. 10 in.A 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 MPaA 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. 2 Aluminum C Aluminum Answers: (a) Jal= Brass- (b) Obr= i i b Brass (2 (2 MPa O MPa E