1. A 100lb weight is suspended by three cables as shown in the figure. The ratios of the stiffness of the cables are: AP:BP:CP = 2k:k:3k, i.e. cable AP and CP are respectively 2x and 3x the stiffness of cable BP. Before the load is applied, all three cables are unloaded and the geometry is as shown. 60" B 45° 60⁰ Assuming the cables are very stiff and the displacements are therefore small, determine the forces in the three cables in terms of stiffness value k and the weight W(= 100). Assuming the springs are not stiff, and therefore the displacements are not necessarily small, develop a set of equations for the displacement of the mass and the forces in the cables.

1. A 100lb weight is suspended by three cables as shown in the figure. The ratios of the stiffness of the cables are: AP:BP:CP = 2k:k:3k, i.e. cable AP and CP are respectively 2x and 3x the stiffness of cable BP. Before the load is applied, all three cables are unloaded and the geometry is as shown. 60" B 45° 60⁰ Assuming the cables are very stiff and the displacements are therefore small, determine the forces in the three cables in terms of stiffness value k and the weight W(= 100). Assuming the springs are not stiff, and therefore the displacements are not necessarily small, develop a set of equations for the displacement of the mass and the forces in the cables.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.3P: The L-shaped arm ABCD shown in the figure lies in a vertical plane and pivots about a horizontal pin...

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