Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 12.15, Problem 98SEP
To determine
The modulus of elasticity of the composite.
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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
A 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)
Boron coated with SiC reinforced aluminum containing 40 vol.% fibers is animportant high temperature, light weight composite material. Estimate the density, modulus of elasticity, and tensile strength of composite parallel to the fiber axis. Also estimate the modulus of elasticity of composite perpendicular to the fibres.
Chapter 12 Solutions
Foundations of Materials Science and Engineering
Ch. 12.15 - Define a composite material with respect to a...Ch. 12.15 - Prob. 2KCPCh. 12.15 - What are some of the advantages of glass...Ch. 12.15 - Prob. 4KCPCh. 12.15 - Prob. 5KCPCh. 12.15 - What properties make carbon fibers important for...Ch. 12.15 - Prob. 7KCPCh. 12.15 - Prob. 8KCPCh. 12.15 - Prob. 9KCPCh. 12.15 - Prob. 10KCP
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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_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_forwardCalculate 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.arrow_forward
- Boron coated with SiC reinforced aluminium containing 40 vol.% fibers is animportant high temperature, light weight composite material. Estimate the density,modulus of elasticity and tensile strength of composite parallel to the fiber axis. Alsoestimate the modulus of elasticity of composite perpendicular to the fibres.arrow_forwardCalculate the modulus of rigidity (shear modulus) of an epoxy resin if the modulus of elasticity (Young's modulus) E = 3.5 GPa and %3D the Poisson's ratio = 0.35. %3Darrow_forwardProblem 4 Calculate the tensile modulus of elasticity of a unidirectional carbon-fiber-reinforced-plastic composite material that contains 64 percent by volume of carbon fibers and is stressed under isostrain conditions. The carbon fibers have a tensile modulus of elasticity of 54.0 × 10° psi and the epoxy matrix a tensile modulus of elasticity of 0.530 x 10° psi.arrow_forward
- A unidirectional fiber reinforced composite contains Kevlar 49 fibres and epoxy resin. the fibers are to carry 88% of a load applied in the longitudinal direction. determine the volume fraction of fibers that will be required ( two decimal places, e.g. 0.31).( elastic modulus of Kevlar 49 is 129GPA, and elastic modulus of epoxy 4.6 GPaarrow_forwardThe compressive strength of aramid fiber is about one-eighth of its tensile stress. Estimate the smallest diameter of a rod on which the aramid fiber can be wound without causing kinks, etc. on its compression side.arrow_forwardFor a continuous and aligned fiber-reinforced composite, the modulus of elasticity in the transverse direction is 4.91 GPa. If the volume fraction of fibers is 0.3 and the modulus of elasticity of matrix phase is 3.78 GPa, determine the modulus of elasticity of composite in longitudinal direction.arrow_forward
- A composite with a vinyl ester (VE) matrix contains 2 vol% CNTS with the following characteristics: 1= 7 um, d= 50 nm, di = 4 nm, and EcCNT = 900 GPa. The modulus of the VE matrix is 1.9 GPa. %3D c. Find the Major Poisson's ratio for this composite using strength of materials approach. d. Find the in-plane shear modulus for this composite using strength of materials approach.arrow_forwardWhat 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.arrow_forwardA composite with a minimum elastic modulus of 50 GPa is to be created by mixing uniaxial epoxy with metal fibre. Calculate the minimum Elastic modulus of the metal fibre given the following data for the epoxy matrix: Elastic modulus of the epoxy matrix is 5 GPa • Volume fraction of the epoxy matrix is 0.6 A- в I U S x2 xarrow_forward
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