Pearson eText for Materials for Civil and Construction Engineers -- Instant Access (Pearson+)
4th Edition
ISBN: 9780137505586
Author: Michael Mamlouk, John 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.
Chapter 11 Solutions
Pearson eText for Materials for Civil and Construction Engineers -- Instant Access (Pearson+)
Ch. 11 - Prob. 11.1QPCh. 11 - Prob. 11.2QPCh. 11 - Prob. 11.3QPCh. 11 - Prob. 11.4QPCh. 11 - Prob. 11.5QPCh. 11 - Prob. 11.6QPCh. 11 - Prob. 11.7QPCh. 11 - Prob. 11.8QPCh. 11 - Prob. 11.9QPCh. 11 - What are the functions of aggregate used in...
Ch. 11 - Prob. 11.11QPCh. 11 - Prob. 11.12QPCh. 11 - What are the benefits of adding dispersed steel...Ch. 11 - Getting measurements from Figure 11.20, determine...Ch. 11 - Three 6 in. 12 in. concrete cylinders with...Ch. 11 - Prob. 11.16QPCh. 11 - Prob. 11.17QPCh. 11 - Prob. 11.18QPCh. 11 - Prob. 11.19QPCh. 11 - Prob. 11.20QPCh. 11 - Prob. 11.21QPCh. 11 - Prob. 11.22QPCh. 11 - Prob. 11.23QPCh. 11 - Prob. 11.24QPCh. 11 - Prob. 11.25QPCh. 11 - Prob. 11.26QPCh. 11 - Prob. 11.27QPCh. 11 - Prob. 11.28QPCh. 11 - Prob. 11.29QPCh. 11 - Prob. 11.30QPCh. 11 - A circular FRP composite rod with continuous and...
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- 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 6arrow_forwardThe 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. 1400 1200 1000 - 800 E Fibers 600 - Composite 400 200 Matrix 0.002 0.004 0.006 Strain (m/m) FIGURE P11.25 Stress (MPa)arrow_forward10/10 FIND STRESS IN STEEL MATERIALS IN COMPOSITE COLUMIN SHOWN BELOW. IF E st= 200 kN/MM2, Ealu.=70 kN/MM2 100 kN RALU=30 MM Aluminum Steel 1m R ST 20 MMarrow_forward
- The composite bar shown in the figure is firmly attached to unyielding supports. An Axial force P 52 kips is applied at 65° F. Compute the stress (ksi) in the Aluminum at 116 °F. Assume a = 6.5 x 106/° F for steel and 12.8 x 106°F for aluminum Given: L1 = 17in; L2 = 13in %3D %3D Your final answer should contain two decimal places Aluminum A = 2 in? E = 10 x 10 psi Steel A = 3 in? E = 29 x 10 psi L1 - L2arrow_forwardAnswer in two decimal places pleasearrow_forwardProblem 10 3-21. The stress-strain diagram for a polyester resin is given in the figure. If the rigid beam is supported by a strut AB and post CD, both made from this material, and subjected to a load of P = 80 kN, determine the angle of tilt of the beam when the load is applied. The diameter of the strut is 40 mm and the diameter of the post is 80 mm. 2 m B P 0.75 m ¹0.75 m D 0.5 m σ (MPa) 100 95 80 70 60 50 40 32.2 20 0 compression tension 0.01 0.02 0.03 0.04 -€ (mm/mm)arrow_forward
- Please answer asap with four decimal placesarrow_forwardQ.2) Calculate the ỹ of the centroid and Iş (with respect to centroid) for the composite area shown in figure. 40 cm 14 cm 20 cm 18 mmarrow_forwardFor the composite area shown in Figure 4.1b1, determine the x-coordinate of its centroid. Given B = 225 mm, D = 175 mm, t; = 36 mm and tw = 48 mm. The positive x and y axes of the coordination system are shown in the figure. D - Barrow_forward
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