The natural frequencies of a uniform cantilever beam are related to the roots B; of the...

 

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The natural frequencies of a uniform cantilever beam are related to the roots B; of the frequency equation fn (B) cosh(B).cos(B) + 1 = 0 where ,m[³ B = (2nf)² ΕΓ fi=ith natural frequency m = mass of the beam L = Length of the beam E = modulus of elasticity 1 = Moment of inertia of the cross section You have to determine the lowest two frequencies of the steel beam 0.9 m long, with a rectangular cross section 25 mm wide and 2.5 mm high. The mass density of steel is 7850 kg/m³ and E-200 GPa. The natural frequencies of a uniform cantilever beam are related to the roots B; of the frequency equation fn (B) cosh(B).cos(B) + 1 = 0 where ,m[³ B = (2nf)² ΕΓ fi=ith natural frequency m = mass of the beam L = Length of the beam E = modulus of elasticity 1 = Moment of inertia of the cross section You have to determine the lowest two frequencies of the steel beam 0.9 m long, with a rectangular cross section 25 mm wide and 2.5 mm high. The mass density of steel is 7850 kg/m³ and E-200 GPa.

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let frequency fB where Bi 0 f1 I Given data Loogm b25 mm S 7850 19m 2 200 bbs 12 equation of ... View the full answer