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Student2010
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Hi Please can somebody help
The equation governing the buckling load P of a strut with one end fixed and the other end simply supported is given by tan (Mu)L = (Mu)L where (Mu) = Sqrt (P/EI), L the length of the strut and EI the flexural rigidity of the strut.
By writing x = (Mu)L, solve the equation tan x = x using three iterations of the Newton-Raphson method, taking
an initial approximation x0 = 4.5
I got the equation for the first derivative to be
f(1)(x)= sec^2(x)-1
x1= x0 - (tan(x0)-x0)/(sec^2(x0)-1)
but i can't get a value out of the equation which seems right, when i carry on to the 3rd iteration it says i should get an answer of around 4.49340946
Would really appreciate help
Thank You
The equation governing the buckling load P of a strut with one end fixed and the other end simply supported is given by tan (Mu)L = (Mu)L where (Mu) = Sqrt (P/EI), L the length of the strut and EI the flexural rigidity of the strut.
By writing x = (Mu)L, solve the equation tan x = x using three iterations of the Newton-Raphson method, taking
an initial approximation x0 = 4.5
I got the equation for the first derivative to be
f(1)(x)= sec^2(x)-1
x1= x0 - (tan(x0)-x0)/(sec^2(x0)-1)
but i can't get a value out of the equation which seems right, when i carry on to the 3rd iteration it says i should get an answer of around 4.49340946
Would really appreciate help
Thank You