See this reference: http://www.mcise.uri.edu/sadd/mce565/Ch5.pdfkezzstar said:supported at each end. m in the equation is the mass of the beam itself. Yeah 3. is wrong, just found that too. Argh I'm stumped...
Chestermiller said:See this reference: http://www.mcise.uri.edu/sadd/mce565/Ch5.pdf
The website gives you the exact equation you need to solve and the method of solution. What specifically are you not able to follow about the development in the reference. It's hard to help without knowing specifically what the stumbling block is.kezzstar said:Thanks for the reply. Checked that website and still no further forward.
Chestermiller said:The website gives you the exact equation you need to solve and the method of solution. What specifically are you not able to follow about the development in the reference. It's hard to help without knowing specifically what the stumbling block is.
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Pages 5.1 through 5.8. Eqn. 5.5 with w = 0 is the equation you are supposed to be solving.kezzstar said:Where abouts in the text am I looking?
The formula for calculating the frequency in a beam equation is f = (1/2π) √(EI/mL^3), where f is the frequency, E is the modulus of elasticity, I is the moment of inertia, m is the mass per unit length, and L is the length of the beam.
The frequency is inversely proportional to the length and square root of the modulus of elasticity and moment of inertia, and directly proportional to the square root of the mass per unit length. This means that as any of these properties increase, the frequency will decrease, and vice versa.
Calculating the frequency in a beam equation is important because it helps determine the natural frequency of the beam, which is the frequency at which the beam will naturally vibrate when disturbed. This information is useful in designing and analyzing structures to ensure they can withstand vibrations and avoid resonance.
Yes, the frequency in a beam equation can be changed by altering the properties of the beam such as its length, mass per unit length, or modulus of elasticity. It can also be changed by applying external forces or adding additional supports to the beam.
The frequency in a beam equation is directly related to the stability of a structure. If the frequency of an external force applied to a structure matches the natural frequency of the structure, it can cause resonance and lead to instability or even failure of the structure. Therefore, it is important to consider the frequency in a beam equation when designing structures to ensure they are stable and can withstand any potential vibrations.