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 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) =A cantilever beam of length 700 mm, width 55 mm and thickness 15 mm is made of steel withYoung's modulus 200 GPa and mass density 7800 kg/m³. The displacement model is assumed to bew(x, t) 91 (t) where L is the beam length. The damping in the beam is negligible. The beam isexcited at location 300 mm from the clamped end with a translational force (in the more flexibledirection) of magnitude 10 N at a frequency of 21 Hz (the end of the lecture on adding discreteelements to beam problems gives more detail about including external forces). The maximumsteady state response of the end of the beam (in mm) is

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Answered: A cantilever beam of length 700 mm,…

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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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 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)