Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 12.15, Problem 48AAP
To determine
The tensile modulus of elasticity for laminated composite material.
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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?
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
A 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
x
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
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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 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_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_forwardA 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_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_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_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
- Calculate the density of a composite made with 35% Kevlar-49 fibers in an epoxy resin (ρ = 1.1 kg/m3, E = 2.5 GPa). For Kevlar-49, Ef = 131 GPa; density = 1440 kg/m3arrow_forwardb. 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_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
- 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_forwardsketch the generalized stress-strain curve for a semi-crystalline thermoplastic polymer.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%. If the ultimate fibre strength = 3500MPa, calculate the average failure stress in the composite. Answer: 2584arrow_forward
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