Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 12, Problem 11CQ
To determine
The mode of transfer for the tensile stress in the matrix in a composite material with short fibers into the fibers.
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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
Explain
The composite bar, firmly attached to unyielding
supports, is initially stress free. What maximum axial
load P can be applied if the allowable stresses are 100
MPa for aluminum and 140 MPa for steel?
Bronze
Steel
A = 1800 mm²
A = 1125 mm?
E = 83 GPa
%3D
E = 200 GPa
%3D
P
-450 mm-
360 mm·
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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- Composite _________ is produced by laying fibers in random directions in a plane.arrow_forwardThe composite bar, firmly attached to unyielding supports, is initially stress free. What maximum axial load P can be applied if the allowable stresses are 80 MPa for aluminum and 144 MPa for steel? Steel Aluminum A = 1125 mm2 E = 70 GPa A = 1800 mm? E = 200 GPa 450 mm- 360 mm-arrow_forwardPlease resolve the questionarrow_forward
- Sub question: At what temperature will the aluminum and steel segments in this problem have stresses of equal magnitude after the 50-kip force is applied? Show full solutionarrow_forwardCalculate the modulus of elasticity of fiberglass under isostrain condition if the fiberglass consists of 70% E-glass fibers and 30% epoxy by volume. Also, calculate the percentage of load carried by the glass fibers. The moduli of elasticity of the glass fibers and the epoxy are 70.5 and 6.9 GPa, respectively. If a longitudinal stress of 60 MPa is applied on the composite with a cross-sectional area ofm300 mm2, what is the load carried by each of the fiber and the matrix phases? What is the strain sustained by each of the fiber and the matrix phases?arrow_forwardCalculate the modulus of elasticity of fiberglass under isostrain condition if the fiberglass consists of 70% E-glass fibers and 30% epoxy by volume. Also, calculate the percentage of load carried by the glass fibers. The moduli of elasticity of the glass fibers and the epoxy are 70.5 and 6.9 GPa, respectively. If a longitudinal stress of 60 MPa is applied on the composite with a cross-sectional area of 300 mm2, what is the load carried by each of the fiber and the matrix phases?What is the strain sustained by each of the fiber and the matrix phases?arrow_forward
- 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/℃.arrow_forward3 For a composite bar as shown below, what is the relation between axial deformation and thermal deformations in the bar? Cu tube (1) Steel bar (2) D d- Where, o,, o, = stresses in Cu and steel bar respectively. Coefficient of thermal expansion for Cu and steel bar respectively.arrow_forwardFind the centroid of the following composite object................arrow_forward
- The load-strain data obtained in a tension test of a unidirectional carbon fiber/epoxy composite are given below. The specimen dimensions are length=254 mm, width=12.7 mm and thickness is 1.4 mm. Determine the tensile modulus and Poisson ration for each fiber orientation Axial strain Load (N) Transverse strain % 自 % 0° 45° 90° 0° 45° 90° 0.05 2130 130 67 -0.012 -0.113 -0.0004 0.10 4270 255 134 -0.027 -0.021 -0.001 0.15 6400 360 204 -0.041 -0.029 -0.0014 0.20 8620 485 333 -0.054 -0.038 -0.0019 0.25 565 396 -0.048 -0.0025arrow_forwardA 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 Answerarrow_forwardA 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_forward
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