Q) A composite have longitudinal modulus of elasticity is equal to (131 GPa.) reinforced with 40 % of volume fraction of aligned discontinuous fibers, the modulus of elasticity of fibers and matrix were equal to (500 GPa. & 6 GPa.) respectively. a- Calculate the critical length of fiber, if the length of fiber(-3mm) with diameter (0.006 mm). And critical length is less than the fiber length. And calculate the maximum average stress if the shear strength equal to (20 MPa.) b- Calculate the modulus of elasticity of the composite when reinforced with continuous fibers. c- Calculate the modulus of elasticity of the composite when reinforced with discontinuous fiber length is equal to critical length. d- Calculate the maximum tensile stress (failure stress) of fibers.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Q) A composite have longitudinal modulus of elasticity is equal to (131 GPa.)
reinforced with 40 % of volume fraction of aligned discontinuous fibers, the
modulus of elasticity of fibers and matrix were equal to (500 GPa. & 6 GPa.)
respectively.
a- Calculate the critical length of fiber, if the length of fiber(=3mm) with
diameter (0.006 mm). And critical length is less than the fiber length.
And calculate the maximum average stress if the shear strength equal to
(20 MPa.)
b- Calculate the modulus of elasticity of the composite when reinforced
with continuous fibers.
c- Calculate the modulus of elasticity of the composite when reinforced
with discontinuous fiber length is equal to critical length.
d- Calculate the maximum tensile stress (failure stress) of fibers.
Transcribed Image Text:Q) A composite have longitudinal modulus of elasticity is equal to (131 GPa.) reinforced with 40 % of volume fraction of aligned discontinuous fibers, the modulus of elasticity of fibers and matrix were equal to (500 GPa. & 6 GPa.) respectively. a- Calculate the critical length of fiber, if the length of fiber(=3mm) with diameter (0.006 mm). And critical length is less than the fiber length. And calculate the maximum average stress if the shear strength equal to (20 MPa.) b- Calculate the modulus of elasticity of the composite when reinforced with continuous fibers. c- Calculate the modulus of elasticity of the composite when reinforced with discontinuous fiber length is equal to critical length. d- Calculate the maximum tensile stress (failure stress) of fibers.
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