A rigid plate of negligible mass rests on a central spring which is higher than the symmetrically located outer springs. Each of the springs consists of 18 turns of 10 mm wire on a mean diameter mm. The central spring has 24 turns of 20 mm wire on a mean dia of 150 mm. If a load P = 5 kN is now applied to the plate, use G = MPа. Determine the load carried by the central spring, in kN. Determine the shearing stress of the central spring, in MPa. Determine the shearing stress of the outer spring, in MPa.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter10: Virtual Work And Potential Energy
Section: Chapter Questions
Problem 10.55P: Solve Prob. 10.54 assuming that A and B are connected by a spring of stiffness k = 0.3 W/b and free...
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A rigid plate of negligible mass rests on a central spring which is 20 mm
higher than the symmetrically located outer springs. Each of the outer
springs consists of 18 turns of 10 mm wire on a mean diameter of 100
mm. The central spring has 24 turns of 20 mm wire on a mean diameter
of 150 mm. If a load P = 5 kN is now applied to the plate, use G = 83,000
MPа.
Determine the load carried by the central spring, in kN.
Determine the shearing stress of the central spring, in MPa.
Determine the shearing stress of the outer spring, in MPa.
Transcribed Image Text:A rigid plate of negligible mass rests on a central spring which is 20 mm higher than the symmetrically located outer springs. Each of the outer springs consists of 18 turns of 10 mm wire on a mean diameter of 100 mm. The central spring has 24 turns of 20 mm wire on a mean diameter of 150 mm. If a load P = 5 kN is now applied to the plate, use G = 83,000 MPа. Determine the load carried by the central spring, in kN. Determine the shearing stress of the central spring, in MPa. Determine the shearing stress of the outer spring, in MPa.
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