A load of P = 88 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 113 GPa] rods, and a solid steel [E = 179 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 29 mm. All bars are unstressed before the load P is applied; however, there is a 1.7-mm clearance in the bolted connection at B. Assume L₁= 2.9 m and L₂= 1.5 m. Determine: (a) the normal stresses in the bronze and steel

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A load of P = 88 kN is supported by a structure
consisting of rigid bar ABC, two identical solid
bronze [E = 113 GPa] rods, and a solid steel [E
= 179 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 29 mm. All bars are unstressed
before the load P is applied; however, there is
a 1.7-mm clearance in the bolted connection at
B. Assume L₁= 2.9 m and L₂ = 1.5 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
Answers:
mm.
(a) σ₁ =
i
MPa, 0₂ =
i
MPa.
(b) v =
i
L2
(2)
B
P
(1)
L₁
Transcribed Image Text:A load of P = 88 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 113 GPa] rods, and a solid steel [E = 179 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 29 mm. All bars are unstressed before the load P is applied; however, there is a 1.7-mm clearance in the bolted connection at B. Assume L₁= 2.9 m and L₂ = 1.5 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 Answers: mm. (a) σ₁ = i MPa, 0₂ = i MPa. (b) v = i L2 (2) B P (1) L₁
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