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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A compressive load P is transmitted through a rigid plate to three magnesium-alloy bars that are identical except that initially the middle bar is slightly shorter than the other bars (see figure). The dimensions and properties of the assembly are as follows: length L = 1.0 m, cross sectional area of each bar A = 3000 mm2 , modulus of elasticity E= 45 GPa, and the gap s = 1.0 mm.
(a) Calculate the load P1 required to close the gap.Â
(b) Calculate the downward displacement δ of the rigid plate when P = 400 kN.
(c) Calculate the total strain energy U of the three bars when P 400 kN.
(d) Explain why the strain energy U is not equal to Pδ/2

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