400 kg machine is placed at the mid span of a 3.2 m simply supported steel beam (E=200\times10^9~N/m2) The machine is observed to vibrate with a natural frequency of 9.3 Hz. What is the size of the beam's cross section if the height is twice as the width, considering that: A 400 kg machine is placed at the mid span of a 3.2 m simply supported steelbeam (E = 200 x 109 N/m2). The machine is observed to vibrate with a naturalfrequency of 9.3 Hz. What is the size of the beam's cross section if the height istwice as the width, considering that:I=192EI13bh³12andwhere b = width, h = height400 kg3.2bh

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Answered: What is the size of the beam's cross…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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400 kg machine is placed at the mid span of a 3.2 m simply supported steel beam (E=200\times10^9~N/m2) The machine is observed to vibrate with a natural frequency of 9.3 Hz. What is the size of the beam's cross section if the height is twice as the width, considering that:

A 400 kg machine is placed at the mid span of a 3.2 m simply supported steel
beam (E = 200 x 109 N/m2). The machine is observed to vibrate with a natural
frequency of 9.3 Hz. What is the size of the beam's cross section if the height is
twice as the width, considering that:
I=
192EI
13
bh³
12
and
where b = width, h = height
400 kg
3.2
b
h

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