Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 12.15, Problem 81AAP
To determine
The tensile modulus of the composite in the direction of the fibers.
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Question 2
= 219,48 M//a
= 247,3785 Pa
2.1 Consider a polymer reinforced with Spectra 1000 fibers, with a fiber volume ratio of
x = 15 %. For a cross sectional area of 130 mm² and a load of 250 kg, calculate the stress
in the fibers and in the matrix if the matrix material is polycarbonate.
2.2 Why are fibres capable of supporting a large portion of the tensile load in composite
materials?
Glass fibres provide longitudinal reinforcement for a nylon material subject to tensile load. The fibre diameter is 20 μm and the volume fraction is 0.45. (Take Young’s modulus of glass fibres as 70 000 MPa and nylon as 2800 MPa)(i)Calculate the Young’s modulus of composite(ii)Determine the tensile strength in the glass fibre if the tensile strength of the composites and matrix is 14 MPa and 11.8 MPa, respectively
Question Seven (Plastics)
The data below is from a fibre reinforced plastic. Would this composite be suitable for
use at 400°C? Explain your answer.
Temperature (°C)
20
100
200
300
400
500
600
Plastic A
Plastic B
Plastic C
Yield
Strength
(MPa)
270
350
47
Tensile
Strength
(MPa)
300
500
52
E (GPa)
130
3
14
115
100
95
Question Eight (Plastics)
Identify the thermoplastic, the elastomer and the thermoset.
70
58
0
Young's Modulus (GPa) Elongation (%)
12
3
600
Chapter 12 Solutions
Foundations of Materials Science and Engineering
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Ch. 12.15 - Prob. 11KCPCh. 12.15 - Prob. 12KCPCh. 12.15 - Prob. 13KCPCh. 12.15 - Prob. 14KCPCh. 12.15 - Prob. 15KCPCh. 12.15 - Describe the sheet-molding compound manufacturing...Ch. 12.15 - Prob. 17KCPCh. 12.15 - Prob. 18KCPCh. 12.15 - What are the basic raw materials for portland...Ch. 12.15 - What are the names, chemical formulas, and...Ch. 12.15 - List the five main ASTM types of portland cement...Ch. 12.15 - What is asphalt? Where is asphalt obtained?Ch. 12.15 - What are chemical composition ranges for asphalts?Ch. 12.15 - What does an asphalt mix consist of? What is the...Ch. 12.15 - Prob. 25KCPCh. 12.15 - What are the subrings of the annual growth rings...Ch. 12.15 - Prob. 27KCPCh. 12.15 - Prob. 28KCPCh. 12.15 - Prob. 29KCPCh. 12.15 - Prob. 30KCPCh. 12.15 - Prob. 31KCPCh. 12.15 - Prob. 32AAPCh. 12.15 - Prob. 33AAPCh. 12.15 - Prob. 34AAPCh. 12.15 - Prob. 35AAPCh. 12.15 - Prob. 36AAPCh. 12.15 - Prob. 37AAPCh. 12.15 - Prob. 38AAPCh. 12.15 - Prob. 39AAPCh. 12.15 - A unidirectional carbon fiberepoxy resin composite...Ch. 12.15 - Prob. 41AAPCh. 12.15 - Prob. 42AAPCh. 12.15 - Prob. 43AAPCh. 12.15 - Prob. 44AAPCh. 12.15 - Prob. 45AAPCh. 12.15 - If the tensile strength of the Kevlar 49 fibers is...Ch. 12.15 - Prob. 47AAPCh. 12.15 - Prob. 48AAPCh. 12.15 - Prob. 49AAPCh. 12.15 - Prob. 50AAPCh. 12.15 - Prob. 51AAPCh. 12.15 - What types of chemical reactions occur during the...Ch. 12.15 - Prob. 53AAPCh. 12.15 - Which component of portland cement hardens rapidly...Ch. 12.15 - Prob. 55AAPCh. 12.15 - Prob. 56AAPCh. 12.15 - Prob. 57AAPCh. 12.15 - Prob. 58AAPCh. 12.15 - Prob. 59AAPCh. 12.15 - Prob. 60AAPCh. 12.15 - Prob. 61AAPCh. 12.15 - Prob. 62AAPCh. 12.15 - Prob. 63AAPCh. 12.15 - Prob. 64AAPCh. 12.15 - Prob. 65AAPCh. 12.15 - Prob. 66AAPCh. 12.15 - Prob. 67AAPCh. 12.15 - Prob. 68AAPCh. 12.15 - Prob. 69AAPCh. 12.15 - What characteristics are desirable for the...Ch. 12.15 - Prob. 71AAPCh. 12.15 - Prob. 72AAPCh. 12.15 - Prob. 73AAPCh. 12.15 - Prob. 74AAPCh. 12.15 - Prob. 75AAPCh. 12.15 - Prob. 76AAPCh. 12.15 - Prob. 77AAPCh. 12.15 - Why does wood shrink much more in the transverse...Ch. 12.15 - A newly developed metal-matrix composite is made...Ch. 12.15 - Prob. 81AAPCh. 12.15 - Prob. 82AAPCh. 12.15 - Prob. 83AAPCh. 12.15 - Prob. 84AAPCh. 12.15 - Prob. 85AAPCh. 12.15 - Prob. 86AAPCh. 12.15 - Prob. 87SEPCh. 12.15 - Prob. 88SEPCh. 12.15 - Prob. 89SEPCh. 12.15 - Prob. 90SEPCh. 12.15 - Prob. 91SEPCh. 12.15 - Prob. 92SEPCh. 12.15 - (a) In Problem 12.94, if all three beams are to...Ch. 12.15 - Prob. 97SEPCh. 12.15 - Prob. 98SEPCh. 12.15 - Prob. 99SEPCh. 12.15 - Prob. 100SEPCh. 12.15 - Prob. 101SEPCh. 12.15 - Prob. 102SEPCh. 12.15 - Prob. 103SEPCh. 12.15 - Prob. 104SEPCh. 12.15 - In total hip replacement, most surgeons prefer a...
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- An aligned and continuous glass fiber-reinforced epoxy composite consisting of 55 vol% glass fibers has a cross-sectional area of 420 mm2. The composite is subjected to a longitudinal load of 61,300 N. Calculate the magnitude of the stress on matrix phase if the elastic moduli of the glass fiber and the epoxy are 165 GPa and 5.7 GPa, respectively.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_forwardA continuous and aligned fiber-reinforced composite is to be produced consisting of 30% vol aramid fibers and 70% vol of a polycarbonate matrix. Mechanical characteristics from the test are given below. The composite is characterized by mechanical testing in both longitudinal and transverse loading. Calculate the longitudinal and transverse elastic modulus. 30% vol aramid fibers (Modulus of Elasticity - 121.68 GPa) 70% vol of a polycarbonate matrix (Modulus of Elasticity - 3.42 GPa)arrow_forward
- Give an approximate value for the tensile strength of a Boron/Aluminum composite with Vf = 0.4. Aluminum 2024 has E = 71 GPa, Poisson = 0.334, yield strength Sy = 76 MPa, strain-to-failure Ey = 22%. Boron fibers have E = 400 GPa, strength = 3.4 GPa, Poisson = 0.25. a. Compute F1t, assuming the Aluminum matrix remains elastic up to failure. If the value found is larger than Sy, the matrix yields, thus invalidating the assumption. b. Recompute using O1 = VfOf + (1 - Vf)Om c. Check that the strain-to-failure is not exceeded.arrow_forwardA discontinuous fibre reinforced composite consists of 20mm long carbon fibres in a polymer matrix. The volume fraction of the composite is 0.5, interfacial shear strength 5MPa and the critical fibre length 2.5mm. The fibre modulus is 250GPa and strain to failure 1.5%. The matrix modulus is 3.5GPa and failure strain 10%. Calculate the tensile strength of the composite in the fibre direction. Answer: 3564arrow_forward(b) A continuous and aligned fiber-reinforced composite is to be produced using 45 vol% of aramid fibers and 55 vol% of polycarbonate matrix. Mechanical properties of these two materials that are given in Table Q5(b): Table Q5(b): Mechanical properties of fiber and matrix Modulus of Elasticity (GPa) Tensile Strength (MPa) Aramid Fiber 131 3600 Polycarbonate 2.4 65 If the stress on the polycarbonate matrix is 35 MPa, when the aramid fibers fail, then compute the followings: (i) the longitudinal tensile strength (ii) the longitudinal modulus of elasticityarrow_forward
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