GATE CE 2021 Set 2 — Question 48
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Structural Engineering → Energy Methods & Vibrations → Free Vibration (Undamped SDOF)
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Question
A prismatic fixed-fixed beam, modelled with a total lumped-mass of as a single degree of freedom (SDOF) system is shown in the figure.
If the flexural stiffness of the beam is , its natural frequency of vibration (in Hz, in integer) in the flexural mode will be _______________.
Correct answer
10 to 10
Solution
The natural frequency of a single degree of freedom (SDOF) system is given by:Given:
Flexural stiffness
Lumped mass
Substituting the values:The natural frequency is .
Flexural stiffness
Lumped mass
Substituting the values:The natural frequency is .
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