A load of P = 116 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 95 GPa] rods, and a solid steel [E = 183 GPa] rod, as shown. The bronze rods (1) each have a diameter of 17 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 4.7-mm clearance in the bolted connection at B. Assume L₁ = 3.3 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) L2 (2) B P (1) L₁

A load of P = 116 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 95 GPa] rods, and a solid steel [E = 183 GPa] rod, as shown. The bronze rods (1) each have a diameter of 17 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 4.7-mm clearance in the bolted connection at B. Assume L₁ = 3.3 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) L2 (2) B P (1) L₁

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A load of P = 116 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 95 GPa] rods, and a solid
steel [E = 183 GPa] rod, as shown. The bronze rods (1) each have a diameter of 17 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 4.7-mm clearance in the bolted connection at B. Assume L₁ = 3.3 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
B
P
(1)
L
MPa, 02 =
mm.
MPa.

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Step 1: Use Equillibrium condition

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Step 2: Calculate the force in rods

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Step 3: Calculate the Normal stresses

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Step 4: Calculate the downward deflection

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