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?

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?

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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ANSWER: h0.26916 m Show the complete 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
r= 8 mm
G = 80 GPa
r = 6 mm

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