Answered: A 1500 mm long composite bar consists… | bartleby

Materials Science And Engineering Properties

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter12: Composite Materials

Section: Chapter Questions

Problem 12.9P

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Question

A 1500 mm long composite bar consists of aluminum
and steel as shown. The cross-sectional area of the
aluminum bar is twice that of the steel bar. If the
assembly is exposed to an axial tensile load of 250 kN,
determine the lengths of each of the components if the
elongation of the aluminum is the same with that of the
steel. The modulus of elasticity of steel E = 200 GPa and
for the aluminum is one-third of the steel.

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In Example Problem 12.1, a uniaxial composite material is made into a circular rod Vbith a 1.27-cm diameter from 70 volume percent continuous carbon fibers and 30 volume percent epoxy. The rod is subject to an axial force of 100,000 N. The composite matcrial in Example Problem 12.1 is to be replaced with a less expensive composite made of 70 volume percent continuous E-glass fibers and 30 volume percent epoxy. The elastic moduli are 5 GPa for the epoxy resin and 72.4 GPa fos the E-glass. (a) Compare the elastic modulus, composite strain, fiber and matrix stresses, and density of this composite with the carbon epoxy composite in Example Problem 12.1. Usc the density of UHM carbon, and assume the density of the epoxy is 1.2g/cm3 . (b) Can both the E-glass fiber and matrix withstand the applied force?
Composite _________ is produced by laying fibers in random directions in a plane.
The trimetallic composite section in Figure 4 is compressed by an axial load P = 12 kN applied through a rigid plate. The section consists of a circular steel core surrounded by 2 brass and copper shells. The steel core has a diameter of 10mm, the brass shell has an external diameter of 15mm, and the copper shell has an external diameter of 20mm. The corresponding modulus of elasticity are Ea = 210 GPa, El = 100 GPa and Ec = 120 GPa.(a) Calculate the compressive stress σa, σl, and σc, in the steel, brass, and copper, respectively, that produces the force P.

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