Provide the schematic diagram and the corresponding mathematical model for each problem before the presentation of the solution. A 50 kg pump is to be placed at the midspan of a 2.8-m simply supportedsteel (E = 200 x 10° N/m²) beam. The beam is of rectangular cross-section ofwidth 25 cm. What are the allowable values of the cross-sectional height suchthat the natural frequency is outside the range of 50 to 75 Hz?60 cm40 cm8.3 kg-m^2G = 60 GPaG = 80 GPar = 6 mmr= 8 mm

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Engineering

Mechanical Engineering

What are the allowable values of the cross-sectional height

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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Question

Provide the schematic diagram and the corresponding mathematical model for each problem before the presentation of the solution.

A 50 kg pump is to be placed at the midspan of a 2.8-m simply supported
steel (E = 200 x 10° N/m²) beam. The beam is of rectangular cross-section of
width 25 cm. What are the allowable values of the cross-sectional height such
that the natural frequency is outside the range of 50 to 75 Hz?
60 cm
40 cm
8.3 kg-m^2
G = 60 GPa
G = 80 GPa
r = 6 mm
r= 8 mm

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