Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 1, Problem 24CQ
To determine
The compound that is continuous in composite material.
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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 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
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 1 Solutions
Materials Science And Engineering Properties
Ch. 1 - Prob. 1CQCh. 1 - Prob. 2CQCh. 1 - Prob. 3CQCh. 1 - Prob. 4CQCh. 1 - Alumina (A12O3) is a(n) _________ material.Ch. 1 - Prob. 6CQCh. 1 - Prob. 7CQCh. 1 - Prob. 8CQCh. 1 - Prob. 9CQCh. 1 - Prob. 10CQ
Ch. 1 - Prob. 11CQCh. 1 - Prob. 12CQCh. 1 - Prob. 13CQCh. 1 - Prob. 14CQCh. 1 - Prob. 15CQCh. 1 - Prob. 16CQCh. 1 - Prob. 17CQCh. 1 - Prob. 18CQCh. 1 - Prob. 19CQCh. 1 - In the process of vulcanization the LCMs in latex...Ch. 1 - Prob. 21CQCh. 1 - Prob. 22CQCh. 1 - Prob. 23CQCh. 1 - Prob. 24CQCh. 1 - Prob. 25CQCh. 1 - Prob. 26CQCh. 1 - Prob. 27CQCh. 1 - Prob. 28CQCh. 1 - Prob. 29CQCh. 1 - Prob. 30CQCh. 1 - Prob. 31CQCh. 1 - Prob. 1ETSQCh. 1 - Prob. 2ETSQCh. 1 - Prob. 3ETSQCh. 1 - Prob. 4ETSQCh. 1 - Prob. 5ETSQCh. 1 - Prob. 6ETSQCh. 1 - Prob. 7ETSQCh. 1 - Prob. 8ETSQCh. 1 - Prob. 9ETSQCh. 1 - Prob. 10ETSQCh. 1 - Prob. 11ETSQCh. 1 - Prob. 12ETSQCh. 1 - Prob. 13ETSQCh. 1 - Prob. 14ETSQCh. 1 - Prob. 15ETSQCh. 1 - Prob. 16ETSQCh. 1 - Prob. 17ETSQCh. 1 - Prob. 1DRQ
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- 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 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_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_forwardA 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.arrow_forward
- A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Taking h= 9 mm and using the data given below, determine the largest permissible bending moment when the composite bar is bent about a horizontal axis. Brass Aluminum 30 mm Modulus of elasticity Allowable stress h 30 mm h Aluminum 70 GPa 100 MPa The largest permissible bending moment is Brass 105 GPa 160 MPa 1.17 kN-m.arrow_forwarda) Determine the location of the centroid with respect to the point P; y = mm Submit part Unanswered b) Determine the moment of inertia l with respect to the centroidal axes. x106 mm*arrow_forwardA 1500 mm long composite bar consists of aluminum and steel as shown. The cross-sectional area of the aluminum bar is twice that of the steel bar. If the assembly is exposed to an axial tensile load of 250 kN, determine the lengths of each of the components if the elongation of the aluminum is the same with that of the steel. The modulus of elasticity of steel E = 200 GPa and for the aluminum is one-third of the steel.arrow_forward
- An 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_forwardWhen looking up data for composite materials, it is important to: a.)Make sure the volume fraction of the fibres is specified b.)The orientation of each fibre layer is specified c.)The type of resin/matric is specified d.)All of the abovearrow_forwardQ2: 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_forward
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