Question

3. In this case, finding the deflection through direct integration would be quite diffi cult due to discontinous nature of the function. However, since we don't care about anything other than what is happening on the beam itself, we could treat the entire function y 1H (x - 3), 0< r <4 as a single cycle in a periodic function and simply disregard everything else The Fourier Series of a periodic function fr (x) defined over one period E a, b of length T is 2πη where 2 2 T n 2πη Find the Fourier Series for the function defined over one period as 1 f 0<I<3 if 3<x<4 f(x) =

Answer 1

6 2 3+- 3 2ズルえ) dR

2 2 2 2 .late an: L. 1-1 pcr η; 4K t l nr Odd

2 2 enen 1 S