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 σy. 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] , σy= 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
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 σy. 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] , σy= 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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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 σy. 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] , σy= 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
Transcribed Image Text:Wire
L
Wire
A
C
D
Rigid bar
P
W
26
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