Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 12, Problem 12CQ
To determine
The magnitude of shear stress at the center of the fiber in a short-fiber composite subjected to tensile stress in direction parallel to fiber.
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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.
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
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 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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- 4. For the composite block shown, determine (a) the value of h if the portion of the load carried by the aluminum plates is half the portion of the load carried by the brass core, (b) the total load if the stress in the brass is 80 Mpa. P Rigid end plate Aluminum Plates (E=70 GPa) Brass Core (E=105 GPa) 40 mm I h 60 mm 300 mmarrow_forward1. 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_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_forward
- 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.arrow_forwardA composite bar is rigidly attached to the wall at A as shown, Axial loads are applied at the positions indicated. -Determine axial stress in member AB (in MPa unit) - Determine the displacement of joint C (in mm unit) -Determine the deformation in member BC (in mm unit)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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