Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Textbook Question
Chapter 9, Problem 44QTP
For the data in Example 9.1, what should be the fiber content so that the fibers and the matrix fail simultaneously? Use an allowable fiber stress of 200 MPa and a matrix strength of 30 MPa.
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Students have asked these similar questions
For a glass/epoxy lamina with a 70% fiber volume fraction using the properties in the tables
provided below
(a) Find the ultimate tensile strength.
(b) Find the minimum and critical fiber volume fractions related to (a).
(c) Find the compressive strength when the matrix undergoes extension mode and when the
matrix undergoes shear mode, which one controls the compressive failure?
Property
Axial modulus
Transverse modulus
Axial Poisson's ratio
Transverse Poisson's ratio
Shear modulus
Axial tensile strength
Axial compressive strength
Transverse tensile strength
Transverse compressive strength
Shear strength
Epoxy Glass Units
3.4 85 GPa
3.4
85
GPa
0.3 0.20
0.3
0.20
1.308 35.42 GPa
72
1550 MPa
102
1550 MPa
72
1550 MPa
102
1550 MPa
34 35 MPa
Compute the modulus of elasticity for a composite which uses High Modulus Carbon fibers and Polyester matrix. The volume fraction of fibers is 25
% and matrix is 75 %.
What is the tensile strength of a composite fibre when its diameter is 20 microns and its
critical fibre length is 30 microns? The strength between the fibre and matrix is 150 MPa.
Chapter 9 Solutions
Manufacturing Engineering & Technology
Ch. 9 - Distinguish between composites and metal alloys.Ch. 9 - Describe the functions of the matrix and the...Ch. 9 - Name the reinforcing fibers generally used to make...Ch. 9 - What is the range in length and diameter of...Ch. 9 - List the important factors that determine the...Ch. 9 - Comment on the advantages and limitations of...Ch. 9 - What are the most commonly used matrix materials?...Ch. 9 - Describe the advantages of hybrid composites over...Ch. 9 - What material properties are improved by the...Ch. 9 - Describe the purpose of the matrix material.
Ch. 9 - What are the most common types of glass fibers?Ch. 9 - Explain the difference between a carbon fiber and...Ch. 9 - How can a graphite fiber be made electrically and...Ch. 9 - What is a whisker? What is the difference between...Ch. 9 - Describe the composition of boron fibers. Why are...Ch. 9 - Give a succinct definition of fiber, yarn, and...Ch. 9 - How do you think the use of straw mixed with clay...Ch. 9 - What products have you personally seen that are...Ch. 9 - Describe applications that are not well suited for...Ch. 9 - Is there a difference between a composite material...Ch. 9 - Identify metals and alloys that have strengths...Ch. 9 - What limitations or disadvantages do composite...Ch. 9 - Give examples of composite materials other than...Ch. 9 - Explain why the behavior of the materials depicted...Ch. 9 - Explain why fibers are so capable of supporting a...Ch. 9 - Do metal-matrix composites have any advantages...Ch. 9 - Give reasons for the development of ceramic-matrix...Ch. 9 - Explain how you would go about determining the...Ch. 9 - How would you go about trying to determine the...Ch. 9 - Glass fibers are said to be much stronger than...Ch. 9 - Describe situations in which a glass could be used...Ch. 9 - When the American Plains states were settled, no...Ch. 9 - By incorporating small amounts of a blowing agent,...Ch. 9 - Referring to Fig. 9.2c, would there be an...Ch. 9 - Calculate the average increase in the properties...Ch. 9 - In Example 9.1, what would be the percentage of...Ch. 9 - Calculate the percent increase in the mechanical...Ch. 9 - Calculate the stress in the fibers and in the...Ch. 9 - Repeat the calculations in Example 9.1 if (a)...Ch. 9 - Refer to the properties listed in Table 7.1. If...Ch. 9 - Plot the elastic modulus and strength of an...Ch. 9 - For the data in Example 9.1, what should be the...Ch. 9 - It is desired to obtain a composite material with...Ch. 9 - A rectangular cantilever beam, 100 mm high, 20 mm...Ch. 9 - What applications for composite materials can you...Ch. 9 - Using the information given in this chapter,...Ch. 9 - Would a composite material with a strong and stiff...Ch. 9 - Make a list of products for which the use of...Ch. 9 - Inspect Fig. 9.1 and explain what other components...Ch. 9 - Name applications in which both specific strength...Ch. 9 - What applications for composite materials can you...Ch. 9 - As with other materials, the mechanical properties...Ch. 9 - Developments are taking place in techniques for...Ch. 9 - As described in this chapter, reinforced plastics...Ch. 9 - Comment on your observations on the design of the...Ch. 9 - Make a survey of various sports equipment and...Ch. 9 - Several material combinations and structures were...Ch. 9 - It is possible to make fibers or whiskers with a...Ch. 9 - Describe how you can produce some simple composite...Ch. 9 - Gel spinning is a specialized process used in...Ch. 9 - Figure P9.65 shows a section of a...
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- b. i. Calculate the tensile modulus of elasticity of a unidirectional Kevlar-49 fibers epoxy composite material that contains 63% by volume of Kevlar 49 fibers and is stressed under isostrain conditions. The Kevlar 49 fibers have a tensile modulus of elasticity of 189.8 GPa and the epoxy matrix a tensile modulus of elasticity of 3.8 GPa.arrow_forwardA continuous-aligned composite lamina is to be designed to have Ec,L= 200 GPa, Ec,T = 10 Q3. GPa and o*c,L = 500 MPa. The desired failure strength of the fiber and matrix are o*f = 1000 MPa and o'm = 20 MPa. Calculate the following to design a composite lamina of desired stiffness and strength; (a) fiber and matrix volume fractions (b) fiber and matrix elastic modulus (c) load fractions of fiber-composite and matrix-composite (d) the calculated stiffness of fiber and matrix correspond closely to which type of fiber and matrix materialsarrow_forwardCompute the ultimate strength for a composite which uses Aramid fibers and Polyester matrix. The volume fraction of fibers is 45 % and matrix is 55 %.arrow_forward
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