PROB. 53 *54. A block B is pushed against three springs by a force P (see figure). The middle spring has stiffness k, 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 U, of the springs when x = 2s. (c) Explain why the strain energy U, is not equal to P&2, where 8 = 2s.

Structural Analysis
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Chapter2: Loads On Structures
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PROB. 53
*54. A block B is pushed against three springs by a force P (see figure). The middle spring has stiffness k, 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 U, of the springs when x = 2s.
(c) Explain why the strain energy U, is not equal to P&2, where 8 = 2s.
B
Transcribed Image Text:PROB. 53 *54. A block B is pushed against three springs by a force P (see figure). The middle spring has stiffness k, 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 U, of the springs when x = 2s. (c) Explain why the strain energy U, is not equal to P&2, where 8 = 2s. B
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