Materials for Civil and Construction Engineers (4th Edition)
4th Edition
ISBN: 9780134320533
Author: Michael S. Mamlouk, John P. Zaniewski
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 11, Problem 11.30QP
To determine
The volume percentage of fibers in the composite.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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 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
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
Materials for Civil and Construction Engineers (4th Edition)
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...
Knowledge Booster
Similar questions
- 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 35mmarrow_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_forwardProblem # 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_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
- Q.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_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
- X 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_forwardEXAMPLE: 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_forwardA composite assembly consisting of a steel [G = 80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa]tube (1) is shown. The cross-sectional dimensions of the assembly are shown in the second figure. Assume l = 210 mm, D1= 51, d1 = 35 mm, d2 = 21 mm. If a torque of T = 1000 N-m is applied to the composite assembly, determine (a) the maximum shear stress in the aluminum tube and in the steel core. (b) the rotation angle of end B relative to end A. A (1) (2) B L. (1) di D Answers: (a) Talum = i ! MPa Tsteel = i ! MPa (b) Фв — ФА 3 ! radarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill Education
Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:9780134610672
Author:Russell C. Hibbeler
Publisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:9780073398006
Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning