A load of P = 92 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 110 GPa] rods, and a solid steel [E = 164 GPa] rod, as shown. The bronze rods (1) each have a diameter of 18 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied; however, there is a 0.9-mm clearance in the bolted connection at B. Assume L₁ = 3 m and L₂= 1.2 m. Determine: (a) the normal stresses in the bronze and steel rods (0₁, 0₂). (b) the downward deflection v of rigid bar ABC. (1) Answers: (a) σ₁ = (b) v = i L2 i (2) B P (1) L₁ MPa, 0₂ = mm. MPa.
A load of P = 92 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 110 GPa] rods, and a solid steel [E = 164 GPa] rod, as shown. The bronze rods (1) each have a diameter of 18 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied; however, there is a 0.9-mm clearance in the bolted connection at B. Assume L₁ = 3 m and L₂= 1.2 m. Determine: (a) the normal stresses in the bronze and steel rods (0₁, 0₂). (b) the downward deflection v of rigid bar ABC. (1) Answers: (a) σ₁ = (b) v = i L2 i (2) B P (1) L₁ MPa, 0₂ = mm. MPa.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A load of P = 92 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 110 GPa] rods, and a solid
steel [E = 164 GPa] rod, as shown. The bronze rods (1) each have a diameter of 18 mm and they are symmetrically positioned relative
to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied;
however, there is a 0.9-mm clearance in the bolted connection at B. Assume L₁ = 3 m and L₂= 1.2 m. Determine:
(a) the normal stresses in the bronze and steel rods (0₁, 0₂).
(b) the downward deflection v of rigid bar ABC.
(1)
Answers:
(a) 0₁
(b) v = i
=
L2
Mi
(2)
B
P
(1)
L₁
MPa, 0₂ =
mm.
MPa.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d318fc4-2977-4710-9bd4-c0e9db33b905%2F01eaf067-bb5e-4acc-9fec-037c246758e0%2Fqovg7xe_processed.png&w=3840&q=75)
Transcribed Image Text:A load of P = 92 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 110 GPa] rods, and a solid
steel [E = 164 GPa] rod, as shown. The bronze rods (1) each have a diameter of 18 mm and they are symmetrically positioned relative
to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied;
however, there is a 0.9-mm clearance in the bolted connection at B. Assume L₁ = 3 m and L₂= 1.2 m. Determine:
(a) the normal stresses in the bronze and steel rods (0₁, 0₂).
(b) the downward deflection v of rigid bar ABC.
(1)
Answers:
(a) 0₁
(b) v = i
=
L2
Mi
(2)
B
P
(1)
L₁
MPa, 0₂ =
mm.
MPa.
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