A rigid bar ACE is supported by three vertical wires and is initially horizontal, as shown in the figure. Then, a force P is applied at the center of the bar. All wires are made from the same material with modulus of elasticity E = 200 GPa and have the same cross-sectional area, A = 10 mm². You may assume that the deformations are small and that the stresses are within the elastic range for this problem. 1.5 m B A 1.0 m D C P 1.0 m F A E 2.0 m Figure 3.1: Rigid bar supported by three vertical wires a) Find the normal stresses and the axial displacements in the wires if P = 15 kN. b) Knowing that AB is the critical wire, and its yield stress is oy = 1500 MPa, find the maximum P that can be applied.

A rigid bar ACE is supported by three vertical wires and is initially horizontal, as shown in the figure. Then, a force P is applied at the center of the bar. All wires are made from the same material with modulus of elasticity E = 200 GPa and have the same cross-sectional area, A = 10 mm². You may assume that the deformations are small and that the stresses are within the elastic range for this problem. 1.5 m B A 1.0 m D C P 1.0 m F A E 2.0 m Figure 3.1: Rigid bar supported by three vertical wires a) Find the normal stresses and the axial displacements in the wires if P = 15 kN. b) Knowing that AB is the critical wire, and its yield stress is oy = 1500 MPa, find the maximum P that can be applied.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Question

A rigid bar ACE is supported by three vertical wires and is initially horizontal, as shown in the
figure. Then, a force P is applied at the center of the bar. All wires are made from the same
material with modulus of elasticity E = 200 GPa and have the same cross-sectional area, A = 10
mm². You may assume that the deformations are small and that the stresses are within the elastic
range for this problem.
1.5 m
A
D
F
1.0 m
1.0 m
H
C
E
P
A
2.0 m
Figure 3.1: Rigid bar supported by three vertical wires
a) Find the normal stresses and the axial displacements in the wires if P = 15 kN.
b) Knowing that AB is the critical wire, and its yield stress is oy
maximum P that can be applied.
= 1500 MPa, find the

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Step 2: (a) Calculate the normal stresses and axial displacements in each wire.

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