Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 12, Problem 7CQ
To determine
The rule used to calculate the elastic modulus of composite material.
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Q2: 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.
PROBLEM 6.56
50 mm
A steel bar and an aluminum bar are bonded together as shown to form a
composite beam. Knowing that the vertical shear in the beam is 18 kN and that
the modulus of elasticity is 200 GPa for the steel and 73 GPa for the aluminum,
determine (a) the average stress at the bonded surface, (b) the maximum stress
Aluminum
25 mm
Steel
in the beam.
36 mm
A steel bar and an aluminum bar are bonded together as shown to form a composite beam. Knowing that the vertical shear in the beam is 4 kips and that the modulus of elasticity is 29 * 106 psi for the steel and 10.6 *106 psi for the aluminum, determine (a) the aver-age shearing stress at the bonded surface, (b) the maximum shearing stress in the beam.
Chapter 12 Solutions
Materials Science And Engineering Properties
Ch. 12 - Prob. 1CQCh. 12 - Prob. 2CQCh. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - Prob. 5CQCh. 12 - Prob. 6CQCh. 12 - Prob. 7CQCh. 12 - Prob. 8CQCh. 12 - Composite _________ is produced by laying fibers...Ch. 12 - Prob. 10CQ
Ch. 12 - Prob. 11CQCh. 12 - Prob. 12CQCh. 12 - Prob. 13CQCh. 12 - Prob. 14CQCh. 12 - Prob. 15CQCh. 12 - Prob. 16CQCh. 12 - Prob. 17CQCh. 12 - Prob. 18CQCh. 12 - Prob. 19CQCh. 12 - Prob. 20CQCh. 12 - Prob. 21CQCh. 12 - Prob. 22CQCh. 12 - Prob. 23CQCh. 12 - Prob. 24CQCh. 12 - Prob. 25CQCh. 12 - Prob. 26CQCh. 12 - Prob. 27CQCh. 12 - Prob. 28CQCh. 12 - Prob. 1ETSQCh. 12 - Prob. 2ETSQCh. 12 - Prob. 3ETSQCh. 12 - Prob. 4ETSQCh. 12 - Prob. 5ETSQCh. 12 - Prob. 6ETSQCh. 12 - Prob. 7ETSQCh. 12 - Prob. 8ETSQCh. 12 - Prob. 9ETSQCh. 12 - Prob. 10ETSQCh. 12 - In Example Problem 12.1, a uniaxial composite...Ch. 12 - Prob. 12.2PCh. 12 - Prob. 12.3PCh. 12 - Prob. 12.4PCh. 12 - Prob. 12.5PCh. 12 - Prob. 12.6PCh. 12 - Estimate the transverse tensile strength of the...Ch. 12 - Prob. 12.8PCh. 12 - Prob. 12.9PCh. 12 - Prob. 12.10PCh. 12 - Prob. 12.11PCh. 12 - Prob. 12.12PCh. 12 - Prob. 12.13PCh. 12 - Prob. 12.14PCh. 12 - Prob. 12.15PCh. 12 - Prob. 12.16PCh. 12 - Prob. 12.17P
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- 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.arrow_forwardA 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 MPaarrow_forwardA 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 barsarrow_forward
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