QUESTION 14 A metal matrix composite consists of continuous silicon carbide fibres of radius 25 microns and volume fraction 0.35 embedded in a titanium matrix. The strength of the fibres is described by the Weibull parameters m=6, 00=2500 MPa and Lo=0.025 m. The titanium has a shear yield stress of Ty=165 MPa. Determine the ultimate tensile strength of the fibres, of", in MPa to zero decimal places.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
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QUESTION 14
A metal matrix composite consists of continuous silicon carbide fibres of radius 25 microns and volume fraction 0.35 embedded in a titanium matrix.
The strength of the fibres is described by the Weibull parameters m=6, 00=2500 MPa and Lo=0.025 m. The titanium has a shear yield stress of Ty=165
MPa. Determine the ultimate tensile strength of the fibres, of", in MPa to zero decimal places.
QUESTION 15
Two common failure modes for long-fibre composites under compression are microbuckling and fibre crushing. A CFRP has 0.47 volume fraction
of high-strength carbon fibres with a crushing strength of -3800 MPa. The epoxy matrix has a shear modulus of 2.5 GPa and a shear strength of
50 MPa. Determine the maximum fibre waviness angle (in degrees) that is allowed to ensure fibre-crushing occurs before microbuckling to 2
decimal places.
Transcribed Image Text:QUESTION 14 A metal matrix composite consists of continuous silicon carbide fibres of radius 25 microns and volume fraction 0.35 embedded in a titanium matrix. The strength of the fibres is described by the Weibull parameters m=6, 00=2500 MPa and Lo=0.025 m. The titanium has a shear yield stress of Ty=165 MPa. Determine the ultimate tensile strength of the fibres, of", in MPa to zero decimal places. QUESTION 15 Two common failure modes for long-fibre composites under compression are microbuckling and fibre crushing. A CFRP has 0.47 volume fraction of high-strength carbon fibres with a crushing strength of -3800 MPa. The epoxy matrix has a shear modulus of 2.5 GPa and a shear strength of 50 MPa. Determine the maximum fibre waviness angle (in degrees) that is allowed to ensure fibre-crushing occurs before microbuckling to 2 decimal places.
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