A block B is pushed against three springs by a force P (see figure). The middle spring

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A block B is pushed against three springs by a force P (see figure). The middle spring has stiffness k1 and the outer springs each have stiffness k2. Initially, the springs are unstressed and the middle spring is longer than the outer springs (the difference in length is denoted s).
(a) Draw a force-displacement diagram with the force P as ordinate and the displacement x of the block as abscissa.
(b) From the diagram, determine the strain energy U1 of the springs when x = 2s.
(c) Explain why the strain energy U1 is not equal to P /2, where δ = 2s.
ka ki k2
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Mechanics of Materials

ISBN: 978-0495438076

7th edition

Authors: James M. Gere, Barry J. Goodno

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