Q1: E-glass fibers reinforced epoxy matrix to fabricate a composite part. The volume fraction of fibers V, is equal the volume fraction of matrix V. and the modulus of elasticity of fibers E, is 55 times the modulus of elasticity of the matrix E i. For the composite part how many times will be the longitudinal modulus of elasticity bigger than the transverse modulus of elasticity? II. Find the ratio of the load carried by the fibers to the load carried by the matrix.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Note: Answer Three Questions Only
Q1: E-glass fibers reinforced epoxy matrix to fabricate a composite part. The volume fraction of
fibers V, is equal the volume fraction of matrix V. and the modulus of elasticity of fibers E, is 55
times the modulus of elasticity of the matrix Em
i.
For the composite part how many times will be the longitudinal modulus of elasticity bigger
than the transverse modulus of elasticity?
11.
Find the ratio of the load carried by the fibers to the load carried by the matrix.
Q2: A composite material has a cross-sectional area of 1150 mm². The fibers carried a stress of
200 MPa and a force of 78600 N and the total longitudinal strain is (1.56 x 10³). The matrix carried a
stress of 6.18 MPa.
i. Find force carried by the matrix.
ii. Find the modulus of elasticity in the longitudinal direction and the modulus of elasticity for the
fiber and the matrix.
Q3: In a mechanical application a composite part is required to have the properties, the longitudinal
modulus of elasticity is at least 105 GPA, the transverse modulus of elasticity is at least 5.62 GPa, and
the density is no more than 1400 kg/m³. The available fibers have the properties: the longitudinal
modulus of elasticity En=230 GPa, the transverse modulus of elasticity E= 22 GPa and the density
pr=1800 kg/m³. And the available matrix properties are, the modulus of elasticity Em-Em₂ = 3.5
GPa and the density pm - 1200 kg/m³. Does this composite can be fabricated from these fibers and
matrix?
Q1: A unidirectionally reinforced glass fiber/epoxy composite. The volume fraction of the fibers is
60%. The tensile strength of glass fibers is 2 GPa and the Young's modulus is 80 GPa. The tensile
strength of the epoxy matrix is 70 MPa and its Young's modulus is 5 GPa
i.
Compute the Young's modulus of the composite in the longitudinal and transverse
directions.
ii.
Compute the tensile strength of the composite in the longitudinal direction.
iii.
Plot the longitudinal Young's modulus (the upper limit) and the transverse Young's
modulus (the lower limit) diagram of the composite.
Page 1 of 1
Transcribed Image Text:Note: Answer Three Questions Only Q1: E-glass fibers reinforced epoxy matrix to fabricate a composite part. The volume fraction of fibers V, is equal the volume fraction of matrix V. and the modulus of elasticity of fibers E, is 55 times the modulus of elasticity of the matrix Em i. For the composite part how many times will be the longitudinal modulus of elasticity bigger than the transverse modulus of elasticity? 11. Find the ratio of the load carried by the fibers to the load carried by the matrix. Q2: A composite material has a cross-sectional area of 1150 mm². The fibers carried a stress of 200 MPa and a force of 78600 N and the total longitudinal strain is (1.56 x 10³). The matrix carried a stress of 6.18 MPa. i. Find force carried by the matrix. ii. Find the modulus of elasticity in the longitudinal direction and the modulus of elasticity for the fiber and the matrix. Q3: In a mechanical application a composite part is required to have the properties, the longitudinal modulus of elasticity is at least 105 GPA, the transverse modulus of elasticity is at least 5.62 GPa, and the density is no more than 1400 kg/m³. The available fibers have the properties: the longitudinal modulus of elasticity En=230 GPa, the transverse modulus of elasticity E= 22 GPa and the density pr=1800 kg/m³. And the available matrix properties are, the modulus of elasticity Em-Em₂ = 3.5 GPa and the density pm - 1200 kg/m³. Does this composite can be fabricated from these fibers and matrix? Q1: A unidirectionally reinforced glass fiber/epoxy composite. The volume fraction of the fibers is 60%. The tensile strength of glass fibers is 2 GPa and the Young's modulus is 80 GPa. The tensile strength of the epoxy matrix is 70 MPa and its Young's modulus is 5 GPa i. Compute the Young's modulus of the composite in the longitudinal and transverse directions. ii. Compute the tensile strength of the composite in the longitudinal direction. iii. Plot the longitudinal Young's modulus (the upper limit) and the transverse Young's modulus (the lower limit) diagram of the composite. Page 1 of 1
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