Calculate the first natural frequency (m = n = 1) in Hz for a square plate with edge length a = b = 1.3m and thickness t = 0.01m. The plate is made of an homogeneous and isotropic material with Young's modulus (E = 120GPa, Poisson's ratio = 0.25 and density p=4500kg/m³). b α t

Calculate the first natural frequency (m = n = 1) in Hz for a square plate with edge length a = b = 1.3m and thickness t = 0.01m. The plate is made of an homogeneous and isotropic material with Young's modulus (E = 120GPa, Poisson's ratio = 0.25 and density p=4500kg/m³). b α t

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.

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Calculate the first natural frequency (m= n = 1) in Hz for a square plate with edge length a = b = 1.3m and thickness t = 0.01m.
The plate is made of an homogeneous and isotropic material with Young's modulus (E = 120GPa, Poisson's ratio = 0.25 and density p= 4500kg/m³).
b
a
First natural frequency = 20.24
X
Hz
One possible correct answer is: 2.0504846843752
t

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