A GFRP product is made from: 7.0 mm long by 0.002 mm diameter aligned fibres with Ef =72.5GPa and a tensile strength of 3.5GPa, and a matrix material with Em=1.6GPa and a tensile strength of 41.4MPa. The stress in the matrix at the fibre fracture strain is 20MPa. a) If the shear strength of the fibre-matrix bond is τc=10MPa then determine the longitudinal composite strength (σ∗) when the GFRP is made with ϕf=0.4. b) Determine the stiffness of this GFRP product in the longitudinal and transverse directions. c) If it were possible to modify the design of this GFRP product, determine the volume fraction of fibre that would be needed to achieve a strength (σ∗) of 2000MPa
A GFRP product is made from: 7.0 mm long by 0.002 mm diameter aligned fibres with Ef =72.5GPa and a tensile strength of 3.5GPa, and a matrix material with Em=1.6GPa and a tensile strength of 41.4MPa. The stress in the matrix at the fibre fracture strain is 20MPa. a) If the shear strength of the fibre-matrix bond is τc=10MPa then determine the longitudinal composite strength (σ∗) when the GFRP is made with ϕf=0.4. b) Determine the stiffness of this GFRP product in the longitudinal and transverse directions. c) If it were possible to modify the design of this GFRP product, determine the volume fraction of fibre that would be needed to achieve a strength (σ∗) of 2000MPa
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question 2: A GFRP product is made from: 7.0 mm long by 0.002 mm diameter aligned fibres with Ef =72.5GPa and a tensile strength of 3.5GPa, and a matrix material with Em=1.6GPa and a tensile strength of 41.4MPa. The stress in the matrix at the fibre fracture strain is 20MPa. a) If the shear strength of the fibre-matrix bond is τc=10MPa then determine the longitudinal composite strength (σ∗) when the GFRP is made with ϕf=0.4. b) Determine the stiffness of this GFRP product in the longitudinal and transverse directions. c) If it were possible to modify the design of this GFRP product, determine the volume fraction of fibre that would be needed to achieve a strength (σ∗) of 2000MPa
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