EBK MATERIALS FOR CIVIL AND CONSTRUCTIO
4th Edition
ISBN: 8220102719569
Author: 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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Q2: A composite beam cross section shown in figure. The normal strain at point
(A) due to bending about the z axis was found to be (0.0004). The modulus
of elasticity of the two materials are El=10 GPa and E2= 70 GPa, determine:
(1) the maximum bending stress in each material.
(2) the moment of resistance of the section.
30mm
A
E2
E1
Z-
140mm
30mm
35mm 30mm 35mm
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.
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.
Chapter 11 Solutions
EBK MATERIALS FOR CIVIL AND CONSTRUCTIO
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_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_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
- Problem # 2: For the composite area shown, calculate the moment of inertia about X and Y ахes. 95 mm Ŕ = 60 mm 55 mm 35 mm 70 mm 80 mm 125 mmarrow_forwardDetermine the y-bar centroid of the composite figure shown. Where: x=4 ft 2 A 1 ft 1ftarrow_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
- EXAMPLE: 14. The composite bar in the figure is stress-free before the axial loads PI and P2 are applied. Assuming that the left wall is rigid, while the right wall yields 0.80mm. calculate the stress in each material if PI = 150 kN and P2 = 90 kN. Aluminum 150 kN 500 mm Steel Bronze 90 KN 250 mm 350 mm 0.8 mmarrow_forwardX Your answer is incorrect. Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.42 in.? and an elastic modulus of 2180 ksi. Bar (2) has a cross-sectional area of 1.139 in.? and an elastic modulus of 4150 ksi. Assume L;-23 in., L2-41 in., Q-6.7 kips, P-3.7 kips, and R-14.1 kips. Determine the horizontal deflection of end Crelative to end A. R (1) (2) P L1 L2 Answer: UCIA - i 0.0725 in.arrow_forwardA composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 73 GPa] bars, as shown. The beam is subjected to a bending moment of 445 N-m acting about the z axis. Using a = 15 mm, b = 125 mm, c = 30 mm, and d = 75 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Z Aluminum C Aluminum Answers: (a) Ogl Brass (b) Obr= i i b Brass a MPa MPaarrow_forward
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