Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 9, Problem 45QTP
It is desired to obtain a composite material with a target stiffness of 10 GPa. If a high strength carbon fiber is to be used, determine the required fiber volume if the matrix is (a) nylon, (b) polyester, (c) acetal, and (d) polyethylene.
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It is desired to produce an aligned and continuous fiber-reinforced epoxy composite having a
maximum of 50% fibers. A minimum longitudinal modulus of elasticity of 55 GPa and a
minimum tensile strength of 1200 MPa are required. E-glass and carbon (PAN standard
modulus) fibers are the possible candidates to select. In addition, assume the stress levels on
the epoxy matrix at fiber failure are 70 MPa for E-glass fiber and 30MPa for carbon fiber,
respectively. Which fiber meets the design requirement? Use the properties given in the
Table below to evaluate your selection.
Materials
Epoxy matrix
E-glass
Carbon
Modulus of Elasticity (GPa)
3.1
72.5
230
Tensile Strength
(MPa)
69
3450
4000
Calculate the composite elastic modulus for polyester reinforced with 60% volume fraction of
carbon fibers under isostrain longitudinal conditions. Modulus of elasticity of polyester is 2900
MPa and for carbon fiber is 175,000 MPa.
Compute the ultimate strength for a composite which uses Aramid fibers and Polyester matrix. The volume fraction of fibers is 45 % and matrix is 55 %.
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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- Estimate the transverse modulus (ET), of the glass-epoxy composite with a fiber volumefraction of 25%. Modulus of elasticity of glass fiber and epoxy is 70 GPa, and 3.5 GPa,respectively. Assume that fibers have a circular cross-section.arrow_forwardFor 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 MPaarrow_forwardPlease solve this mechanical engineering materials course questionarrow_forward
- A composite sample of carbon reinforced epoxy has dimensions of 12 in x 12 in x 0.25 in and mass of 1.8 lb. The carbon fibers have a modulus of elasticity of 50(106) lb/in² and a density of 0.069 lb/in³. The epoxy matrix has modulus of elasticity of 0.61(106) lb/in² and a density of 0.042 lb/in³. What is the volume fraction of (a) the carbon fibers and (b) the epoxy matrix in the sample? Assume there are no voids in the sample. What is the predicted value for the modulus of elasticity (c) in the longitudinal direction and (d) the perpendicular to the carbon fibers?arrow_forwardIs it possible to produce a continuous and oriented aramid fiber–epoxy matrix composite havinglongitudinal and transverse moduli of elasticity of 35 GPa and 5.17 Gpa, respectively? Why or why not?Assume that the elastic modulus of the epoxy is 3.4 Gpa.arrow_forwardA continuous and aligned glass fiber-reinforced composite with modulus of elasticity of 55 GPa. The volume fiber fraction is 40 and the modulus of elasticity of the fiber is 75 GPa. Calculate the volume fraction of epoxy matrix if you know the modulus of elasticity of the modulus of elasticity of the matrix is 2.5 GPa and then determine the strain that is sustained by each phase under applied stress of 27 Mpa. (assume that the cross-section area is 150 mm2)arrow_forward
- A tensile load of 120N is applied to an aluminum boron composite with 1mm^2 cross sectional area.the volume of parallel fibers is 20%.what is the stress in the fibers when the load Axis is (a)parallel to the fibers (b)perpendicular to the fibersarrow_forwardwhich is correct? 0.20 , 0.80, 2.00, 0.25arrow_forwardWhat fiber fraction would be required for a composite with titanium fibers in a polycarbonate matrix (E = 2.5 GPa) to have the fibers handle 85% of a longitudinal tensile load? (Titanium Ef = 116 GPa )arrow_forward
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