Materials for Civil and Construction Engineers (4th Edition)
Materials for Civil and Construction Engineers (4th Edition)
4th Edition
ISBN: 9780134320533
Author: Michael S. Mamlouk, John P. Zaniewski
Publisher: PEARSON
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Chapter 11, Problem 11.30QP
To determine

The volume percentage of fibers in the composite.

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The first parts of the stress-strain relationships of the components of a randomly oriented composite are shown in Figure P11.25. Estimate the volume percentage of fibers in the composite assuming a fiber efficiency parameter (K) of 0.2. Stress (MPa) 1400 1200 1000 800 600 400 200 I T FIGURE P11.25 0.002 Fibers Strain (m/m) 0.004 Composite Matrix 0.006
The composite shaft shown in the figure is manufactured by shrink-fitting a steel sleeve over a brass core so that the two parts act as a single solidbar in torsion. The outer diameters of the two parts are d1 = 1.6 in. for the brass core and d2 = 2.0 in. for the steel sleeve. The shear moduli of elasticity are Gb = 5400 ksi for the brass and Gs = 12,000 ksi for the steel.(a) Assuming that the allowable shear stresses in the brass and steel are τb = 4500 psi and τs = 7500 psi, respectively, determine the maximumpermissible torque Tmax that may be applied to the shaft.(b) If the applied torque T =15 kip-in., find the required diameter d2 so that allowable shear stress τs is reached in the steel.
The composite bar shown is fixed at the ends and is subjected to the axial load P shown. If the aluminum is stressed to 10 ksi, find the force P and the stress in the steel. 10in. 15in. Aluminum Steel A=1.5 in? E=10x10°psi A=2.0 in? 6 E=30x10°psi 6
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