The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress. Rod (1) has an area of A1 = 510 mr and a length of L1 = 2.6 m. Rod (2) has an area of A2 = 360 mm² and a length of L2 = 1.5 m. Assume dimensions of a = 3.7 m, b = 1.3 and c = 1.7 m. After a load of P = 110 kN is applied to the rigid bar at D, determine: (a) the normal stresses in rods (1) and (2) (b) the deflection of the rigid bar at D.

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 2.12.7P
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Consider the deflection of the rigid bar and determine an equation that relates vA to vc. Use this relationship alongside an
equilibrium equation to solve for the forces in rods (1) and (2).
\F2
y,v
a
B
D
Bx +>
x,u
|(1)
Rigid bar
By
VF
y,v
a
(2)
VA
B|
C
D
x,u
VC
A
Rigid bar
VD
(1)
b
E
Deflection diagram
Transcribed Image Text:Consider the deflection of the rigid bar and determine an equation that relates vA to vc. Use this relationship alongside an equilibrium equation to solve for the forces in rods (1) and (2). \F2 y,v a B D Bx +> x,u |(1) Rigid bar By VF y,v a (2) VA B| C D x,u VC A Rigid bar VD (1) b E Deflection diagram
The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress. Rod (1) has an area of A1 = 510 mm?
and a length of L1 = 2.6 m. Rod (2) has an area of A2 = 360 mm? and a length of L2 = 1.5 m. Assume dimensions of a = 3.7 m, b = 1.3 m,
and c = 1.7 m. After a load of P = 110 kN is applied to the rigid bar at D, determine:
(a) the normal stresses in rods (1) and (2)
(b) the deflection of the rigid bar at D.
y,v
(2)
L2
a
B
D
x,u
Rigid bar
b.
(1)
Transcribed Image Text:The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress. Rod (1) has an area of A1 = 510 mm? and a length of L1 = 2.6 m. Rod (2) has an area of A2 = 360 mm? and a length of L2 = 1.5 m. Assume dimensions of a = 3.7 m, b = 1.3 m, and c = 1.7 m. After a load of P = 110 kN is applied to the rigid bar at D, determine: (a) the normal stresses in rods (1) and (2) (b) the deflection of the rigid bar at D. y,v (2) L2 a B D x,u Rigid bar b. (1)
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