A load of P = 80 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 95 GPa] rods, and a solid steel [E = 238 GPa] rod, as shown. The bronze rods (1) each have a diameter of 20 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 24 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= 2.6 m and L₂ = 1.3 m. Determine: (a) the normal stresses in the bronze and steel rods (01, 0₂). (b) the downward deflection v of rigid bar ABC. (1) A L2 (2) B P (1) L₁1

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Aload of P= 80 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 95 GPa] rods, and a solid steel [E = 238 GPa] rod, as shown. The bronze rods (1) each have a diameter of 20 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 24 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 = 2.6 m and L2= 1.3 m. Determine: (a) the normal stresses in the bronze and steel rods (01,02). (b) the downward deflection v of rigid bar ABC.
Answers:
(a) o₁ =
(b) v =
i
i
MPa, 0₂
mm.
=
i
MPa.
Transcribed Image Text:Answers: (a) o₁ = (b) v = i i MPa, 0₂ mm. = i MPa.
A load of P = 80 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 95 GPa] rods, and a solid steel
[E = 238 GPa] rod, as shown. The bronze rods (1) each have a diameter of 20 mm and they are symmetrically positioned relative to the
center rod (2) and the applied load P. Steel rod (2) has a diameter of 24 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= 2.6 m and L₂=1.3 m. Determine:
(a) the normal stresses in the bronze and steel rods (01, 0₂).
(b) the downward deflection v of rigid bar ABC.
(1)
A
L2
(2)
B
P
(1)
L₁1
Transcribed Image Text:A load of P = 80 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 95 GPa] rods, and a solid steel [E = 238 GPa] rod, as shown. The bronze rods (1) each have a diameter of 20 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 24 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= 2.6 m and L₂=1.3 m. Determine: (a) the normal stresses in the bronze and steel rods (01, 0₂). (b) the downward deflection v of rigid bar ABC. (1) A L2 (2) B P (1) L₁1
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