A composite has 20 vol% fibres with Ef = 150 GPa in a matrix Em = 30 GPa. If subjected to load parallel to the fibre direction, the fibre would fail first when the stress of fibre reaches 22.5 GPa. %3D Note the composite stress is expressed as ɑ = V,o, + (1-Vf) amf1- The matrix would fail later at a failure strain of 0.4, where the composite stress is expressed as o, = (1 – V,)amr- Assume both the matrix and the fibres deform elastically and subsequently underge prittle fracture. What would be the maximum stress the composite can withstand? O 8.1 GPa O4.5 GPa 12 GPa O 22.5 GPa 9.6 GPa

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
Section: Chapter Questions
Problem 2.2.7P: Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and...
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A composite has 20 vol% fibres with Ef = 150 GPa in a matrix Em = 30 GPa. If
subjected to load parallel to the fibre direction, the fibre would fail first when the
stress of fibre reaches 22.5 GPa.
Note the composite stress is expressed as o̟ = Vf0s, + (1-Vf) omfı.
The matrix would fail later at a failure strain of 0.4, where the composite stress is
expressed as a, = (1 – V;)ơm-
Assume both the matrix and the fibres deform elastically and subsequently undergo
brittle fracture. What would be the maximum stress the composite can withstand?
8.1 GPa
4.5 GPa
12 GPa
22.5 GPa
9.6 GPa
Transcribed Image Text:A composite has 20 vol% fibres with Ef = 150 GPa in a matrix Em = 30 GPa. If subjected to load parallel to the fibre direction, the fibre would fail first when the stress of fibre reaches 22.5 GPa. Note the composite stress is expressed as o̟ = Vf0s, + (1-Vf) omfı. The matrix would fail later at a failure strain of 0.4, where the composite stress is expressed as a, = (1 – V;)ơm- Assume both the matrix and the fibres deform elastically and subsequently undergo brittle fracture. What would be the maximum stress the composite can withstand? 8.1 GPa 4.5 GPa 12 GPa 22.5 GPa 9.6 GPa
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