Determine the first three natural frequencies of the post shown. The post is made of structural steel with a modulus of elasticity of E= 29 x 10 lb/in² and a mass density of 15.2 slugs/ft³. Consider only the axial oscillation. 5 ft 5 ft 10 ft A= 0.75 in² A= 2.15 in² A 2.95 in²

Determine the first three natural frequencies of the post shown. The post is made of structural steel with a modulus of elasticity of E= 29 x 10 lb/in² and a mass density of 15.2 slugs/ft³. Consider only the axial oscillation. 5 ft 5 ft 10 ft A= 0.75 in² A= 2.15 in² A 2.95 in²

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Determine the first three natural frequencies of the post shown. The post is made of structural
steel with a modulus of elasticity of E = 29 x 10° lb/in² and a mass density of 15.2 slugs/ft³.
Consider only the axial oscillation.
5 ft
5 ft
10 ft
A= 0.75 in²
A = 2.15 in²
A-2.95 in²

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