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
b) Consider the composite plate made of parts with uniform thickness and homogeneous material as shown in Figure Q3b. (1) Determine the x coordinate of its centroid. (ii) Determine the area moment of inertia of the plate with respect to the x axis. 30 y r = 15 30,30 48 All dimensions in cm LATRO 1=1+Ad² X b i-bh² yy 1= 1, = = c) Evaluate the effects of the density of the various components being non-homogeneous for the answers in Q3b. Justify your answer.
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.
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