Links (1) and (2) support rigid bar ABCD shown in the figure. Link (1) is bronze [E = 15,200 ksi] with a cross-sectional area of A1 = 0.545 in.? and a length of L1 = 16 in. Link (2) is cold-rolled steel [E = 30,000 ksi] with a cross-sectional area of A2 in.? and a length of L2 = 35 in. Use dimensions of a = 13.75 in., b = 15.75 in., and c = 20.00 in. For an applied load of P = 8 kips, determine: = 0.400 (a) the normal stresses in links (1) and (2). (b) the deflection of end D of the rigid bar. D P. C (1) L2 B (2) a A X,u
Links (1) and (2) support rigid bar ABCD shown in the figure. Link (1) is bronze [E = 15,200 ksi] with a cross-sectional area of A1 = 0.545 in.? and a length of L1 = 16 in. Link (2) is cold-rolled steel [E = 30,000 ksi] with a cross-sectional area of A2 in.? and a length of L2 = 35 in. Use dimensions of a = 13.75 in., b = 15.75 in., and c = 20.00 in. For an applied load of P = 8 kips, determine: = 0.400 (a) the normal stresses in links (1) and (2). (b) the deflection of end D of the rigid bar. D P. C (1) L2 B (2) a A X,u
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Links (1) and (2) support rigid bar ABCD shown in the figure. Link (1) is bronze [E = 15,200 ksi]with a cross-sectional area of
A1 = 0.545 in.? and a length of L1 = 16 in. Link (2) is cold-rolled steel [E = 30,000 ksi] with a cross-sectional area of A, = 0.400
in.? and a length of L2 = 35 in. Use dimensions of a = 13.75 in.,b = 15.75 in., and c = 20.00 in. For an applied load of P = 8
kips, determine:
(a) the normal stresses in links (1) and (2).
(b) the deflection of end D of the rigid bar.
D
P
L1
|C
(1)
L2
b
B
a
A
X,u](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a96539d-3324-4bc1-8b2d-188b8c5a6e9a%2Fa6735585-9c2d-41ea-980b-4388f7c3e2c8%2Fmlyz2zp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Links (1) and (2) support rigid bar ABCD shown in the figure. Link (1) is bronze [E = 15,200 ksi]with a cross-sectional area of
A1 = 0.545 in.? and a length of L1 = 16 in. Link (2) is cold-rolled steel [E = 30,000 ksi] with a cross-sectional area of A, = 0.400
in.? and a length of L2 = 35 in. Use dimensions of a = 13.75 in.,b = 15.75 in., and c = 20.00 in. For an applied load of P = 8
kips, determine:
(a) the normal stresses in links (1) and (2).
(b) the deflection of end D of the rigid bar.
D
P
L1
|C
(1)
L2
b
B
a
A
X,u
Transcribed Image Text:Determine geometry-of-deformation relationships. Find the ratio of ug to uc, where ug is the magnitude of the
horizontal displacement of pin B and uc is the magnitude of the horizontal displacement of pin C. Also, find the ratio of ug
to up, where up is the magnitude of the horizontal displacement of point D.
What is the ratio of dị to d2, where d1 is the deformation of link (1) and 82 is the deformation of link (2)? Your answer
must be consistent with the sign convention for axial deformation discussed in Section 5.3.
Determine the compatibility equation and use it to find the ratio of F1 to F2, where F1 is the internal force in link (1) and
F2 is the internal force in link (2). Your answer must be consistent with the sign convention for internal axial forces.
Find the internal forces F1 and F2 in links (1) and (2), respectively. Use the sign convention for internal axial forces.
Determine the normal stresses in links (1) and (2). Based on the sign conventions, a tensile normal stress is positive and a
compressive normal stress is negative. Use the sign convention for normal stresses discussed in Section 1.2.
Determine the deflection of link (1). Use the sign convention for axial deformation.
Determine the deflection of end D of the rigid bar. Enter a positive value if it deflects to the right, or a negative value if it
deflects to the left.
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