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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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.
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
1. Three metal strips, each 40 mm height, are bonded together to form the composite beam
shown. The modulus of elasticity is 210 GPa for the steel, 105 GPa for the brass, and
70 GPa for the aluminium. If the allowable bending stress for the aluminum (Gallow)al=
100 MPa, for the steel (Gallow)s=150 MPa and (Gallow)b= 200 MPa for brass determine
the maximum allowable intensit of w of the uniform distributed load.
2w
Aluminum
2w
10 mm
Brass
10 mm
Steel
20 mm
2m
- 40 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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- 1. Three metal strips, each 40 mm height, are bonded together to form the composite beam shown. The modulus of elasticity is 210 GPa for the steel, 105 GPa for the brass, and 70 GPa for the aluminium. If the allowable bending stress for the aluminum (Gallow)al= 100 MPa, for the steel (Gallow)st 150 MPa and (Gallow)br=200 MPa for brass determine the maximum allowable intensit of w of the uniform distributed load. 2w 2m Aluminum Brass Steel 40 mm- 10 mm 10 mm 20 mmarrow_forwardThe following are functions of a matrix, EXCEPT: Subjects the fibers, which carry most of the load, to stresses Reduces the propagation of cracks in the composíte O Subjects the fibers from physical damage and the environmentarrow_forwardComposite _________ is produced by laying fibers in random directions in a plane.arrow_forward
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- 1. Three metal striips, each 40 mm height, are bonded together to form the composite beam shown. The modulus of elasticity is 210 GPa for the steel, 105 GPa for the brass, and 70 GPa for the aluminium. If the allowable bending stress for the aluminum (Galow= 100 MPa, for the steel (Galow)kr=150 MPa and (Galow)or 200 MPa for brass determine the maximum allowable intensit of w of the uniform distributed load. Aluminum 10 mm Brass 10 mm Steel 20 mm 40 mmarrow_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_forwardAn element representative of a composite comprising an isotropic fiber enveloped by the isotropic resin is shown in Figure 1. Note that the two materials stick together perfectly and that the external surface of the element is free of stress. Calculate the axial stress in the fiber (of) and that in the resin (om) in the middle of the axis longitudinal fiber (L/ 2) using the material strength approach in the case where the element is exposed to a change in temperature AT, depending on following variables The thermal expansion coefficients af and am • The Af and Am sections • The moduli of elasticity Ef and Em • AT Guide: There is no external force • Relations to consider: balance, geometric compatibility and relation stress-strain. Fibre : At, Er, Of, af Matrice : Am, Em, Ớm, đmarrow_forward
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