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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
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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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
Transcribed Image Text: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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