The figure shows the infinitely rigid bar (ACD) suspended by three steel wires of diameter d and elasticity E oy, whose maximum allowable stress in the elastic range is oy. On the bar, weighing W, it also exerts a point force P as indicated in the figure. W= 10 [kN], P=5 [kN], d=5 [mm], L=1 [m], b=50 [cm], E=190 [GPa] , Oy= 200 [MPa]. a) Calculate the vertical reactions on each of the wires.If applicable, indicate what wires are at risk of collapse b) Calculate the deformations of each wire for the case shown in a) c) Calculate the maximum deformations in each wire so that their behavior remains in the elastic range Wire Wire A D Rigid b W ---- 10

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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B6
The figure shows the infinitely rigid bar (ACD)
suspended by three steel wires of diameter d
and elasticity E
whose maximum allowable
stress in the elastic range is oy. On the bar,
weighing W, it also exerts a point force P as
indicated in the figure. W= 10 [kN], P=5 [kN], d=5
[mm], L=1 [m], b=50 [cm], E=190 [GPa] , Oy=
200
[MPa].
a) Calculate the vertical reactions on each of the
wires.If applicable, indicate what wires are at
risk of collapse
b) Calculate the deformations of each wire for
the case shown in a)
c) Calculate the maximum deformations in each
wire so that their behavior remains in the elastic
range
Wire
L
Wire
A
D
Rigid b
W
10
Transcribed Image Text:The figure shows the infinitely rigid bar (ACD) suspended by three steel wires of diameter d and elasticity E whose maximum allowable stress in the elastic range is oy. On the bar, weighing W, it also exerts a point force P as indicated in the figure. W= 10 [kN], P=5 [kN], d=5 [mm], L=1 [m], b=50 [cm], E=190 [GPa] , Oy= 200 [MPa]. a) Calculate the vertical reactions on each of the wires.If applicable, indicate what wires are at risk of collapse b) Calculate the deformations of each wire for the case shown in a) c) Calculate the maximum deformations in each wire so that their behavior remains in the elastic range Wire L Wire A D Rigid b W 10
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