# me426hw - HW1: due 1/26/06 A. Given a square composite...

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HW1: due 1/26/06 A. Given a square composite laminate having a stacking sequence of [30 2 /-30 3 ], draw the deformed shape of the laminate if it is subjected to (a) uniaxial tension along 0 o - direction, (b) bending with respect to 0 o -direction and (c) a temperature rise. Also provide statements to enhance your drawings. B. Draw the deformed shape of the following composite material combining two square unidirectional laminas together and loaded by uniaxial tension. Justify your answer. HW2: due 2/1/06 A. Given a solid circular shaft made of a steel with Young’s modulus E = 207 GPa, strength 99 . 0 = u σ GPa and specific gravity 8 . 7 = γ . The length of the shaft is L and the radius is r . If the steel shaft is to be replaced by a hollow tube having an inner radius r and made of a nano-composite based on carbon nanotubes, find the weight saving percentage if both torsional rigidity and strength are to be maintained. B. A composite shaft is manufactured by shrink-fitting a steel sleeve over a brass core so that the two parts act as a single solid bar in torsion. The outer diameters of the two parts are d 1 = 1.6” for the brass core and d 2 = 2.0” for the steel sleeve. The shear moduli of elasticity are G b = 5400 ksi for the brass and G s = 12,000 ksi for the steel. Assuming that the allowable shear stresses in the brass and steel are 4500 = b τ psi and 7500 = s psi, respectively, determine the maximum permissible torque T max that may be applied to the shaft.

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HW3: due 2/8/06 A. Given two fibers, one has a diameter three times the other. Compare the necessary mechanical properties of them to justify that the smaller fiber is better than the larger one for making composite materials. B. A composite shaft is manufactured by shrink-fitting (
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## This note was uploaded on 07/25/2008 for the course ME 426 taught by Professor Liu during the Spring '06 term at Michigan State University.

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me426hw - HW1: due 1/26/06 A. Given a square composite...

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