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The natural frequencies of a cantilever beam are Wn(n=1,2...). How do you go about finding the values of (KnL) for 8 roots? I planned on using Newton's method af first but i have no idea how to set it up. S(k,L) = cos(k,L)cosh (k,L)+1=0 (1) where L is the length of the beam, and its natural frequency o, is given by EI o, = (k,L), VPAL (2)

The natural frequencies of a cantilever beam are Wn(n=1,2...). How do you go about finding the values of (KnL) for 8 roots? I planned on using Newton's method af first but i have no idea how to set it up. S(k,L) = cos(k,L)cosh (k,L)+1=0 (1) where L is the length of the beam, and its natural frequency o, is given by EI o, = (k,L), VPAL (2)

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The natural frequencies of a cantilever beam are Wn(n=1,2...). How do you go about finding the values of (KnL) for 8 roots? I planned on using Newton's method af first but i have no idea how to set it up. S(k,L) = cos(k,L)cosh (k,L)+1=0 (1) where L is the length of the beam, and its natural frequency o, is given by EI o, = (k,L), VPAL (2)
Transcribed Image Text:The natural frequencies of a cantilever beam are Wn(n=1,2...). How do you go about finding the values of (KnL) for 8 roots? I planned on using Newton's method af first but i have no idea how to set it up. S(k,L) = cos(k,L)cosh (k,L)+1=0 (1) where L is the length of the beam, and its natural frequency o, is given by EI o, = (k,L), VPAL (2)
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