A uniform Simply-supported beam is found to vibrate in its first mode with the amplitude of 12 mm at its center. Assume E=200 GPa, 4 1000l mm=, 3

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A uniform Simply-supported beam is found to vibrate in its first mode with the amplitude of 12 mm
at its center. Assume E=200 GPa, I = 1000 mm“ , p=7500 kg/m², A=50mm² and L=2 m.
Determine the maximum bending moment in the beam. Also find the first three natural
frequencies.
Transcribed Image Text:A uniform Simply-supported beam is found to vibrate in its first mode with the amplitude of 12 mm at its center. Assume E=200 GPa, I = 1000 mm“ , p=7500 kg/m², A=50mm² and L=2 m. Determine the maximum bending moment in the beam. Also find the first three natural frequencies.
A uniform Simply-supported beam is found to
vibrate in its first mode with the amplitude of 12
mm
at its center. Assume E=200 GPa, 4 1000l mm=,3
7500, kgm=2 50 A mm = and L=2 m.
Determine the maximum bending moment in the
beam. Also find the first three natural
frequencies.
Transcribed Image Text:A uniform Simply-supported beam is found to vibrate in its first mode with the amplitude of 12 mm at its center. Assume E=200 GPa, 4 1000l mm=,3 7500, kgm=2 50 A mm = and L=2 m. Determine the maximum bending moment in the beam. Also find the first three natural frequencies.
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