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A cantilever beam of length 700 mm, width 55 mm, and thickness 15 mm is made of steel with Young’s modulus 200 GPa and mass density 7800 kg/m3. The displacement model is assumed to be w(x,t)=q1(t)x2L2w ( x, t ) = q 1 x 2 L 2 where L is the beam length. The damping in the beam is negligible. The beam is excited at a location 300 mm from the clamped end with a translational force (in the more flexible direction) of magnitude 10 N at a frequency of 21 Hz (the end of the lecture on adding discrete elements to beam problems gives more detail about including external forces). The maximum steady-state response of the end of the beam (in mm) is

A cantilever beam of length 700 mm, width 55 mm, and thickness 15 mm is made of steel with Young’s modulus 200 GPa and mass density 7800 kg/m3. The displacement model is assumed to be w(x,t)=q1(t)x2L2w ( x, t ) = q 1 x 2 L 2 where L is the beam length. The damping in the beam is negligible. The beam is excited at a location 300 mm from the clamped end with a translational force (in the more flexible direction) of magnitude 10 N at a frequency of 21 Hz (the end of the lecture on adding discrete elements to beam problems gives more detail about including external forces). The maximum steady-state response of the end of the beam (in mm) is

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 cantilever beam of length 700 mm, width 55 mm, and thickness 15 mm is made of steel with Young’s modulus 200 GPa and mass density 7800 kg/m3. The displacement model is assumed to be w(x,t)=q1(t)x2L2w ( x, t ) = q 1 x 2 L 2 where L is the beam length. The damping in the beam is negligible. The beam is excited at a location 300 mm from the clamped end with a translational force (in the more flexible direction) of magnitude 10 N at a frequency of 21 Hz (the end of the lecture on adding discrete elements to beam problems gives more detail about including external forces). The maximum steady-state response of the end of the beam (in mm) is

 

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A cantilever beam of length 700 mm, width 55 mm and thickness 15 mm is made of steel with Young's modulus 200 GPa and mass density 7800 kg/m³. The displacement model is assumed to be w(x, t) = 9₁ (t) where L is the beam length. The damping in the beam is negligible. The beam is excited at location 300 mm from the clamped end with a translational force (in the more flexible direction) of magnitude 10 N at a frequency of 21 Hz (the end of the lecture on adding discrete elements to beam problems gives more detail about including external forces). The maximum steady state response of the end of the beam (in mm) is 0.0509 0.0515 0.0901 0.4903
Transcribed Image Text:A cantilever beam of length 700 mm, width 55 mm and thickness 15 mm is made of steel with Young's modulus 200 GPa and mass density 7800 kg/m³. The displacement model is assumed to be w(x, t) = 9₁ (t) where L is the beam length. The damping in the beam is negligible. The beam is excited at location 300 mm from the clamped end with a translational force (in the more flexible direction) of magnitude 10 N at a frequency of 21 Hz (the end of the lecture on adding discrete elements to beam problems gives more detail about including external forces). The maximum steady state response of the end of the beam (in mm) is 0.0509 0.0515 0.0901 0.4903
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