Coding an Equation to be solved

4 views (last 30 days)
I would like some help in coding equation 14, in order to solve equation 15 to obtain the value of C. Is this possible to do? I am not able to do it.

Accepted Answer

Alan Stevens
Alan Stevens on 7 Apr 2021
This should do it, assuming you know the values of the other constants:
% Arbitrary data
L = 1;
rho = 1;
A = 1;
sigma = 1;
Mt = 1;
It = 1;
lambda = 1.162;
k = lambda/L;
% define functions without C
phia = @(x) (cos(k*x)-cosh(k*x)+sigma*(sin(k*x)-sinh(k*x)));
phiasq = @(x) phia(x);
dphidxa = @(x) -k*(sin(k*x)+sinh(k*x)-sigma*(cos(k*x)-cosh(k*x)));
S = rho*A*integral(phiasq,0,L) + Mt*phiasq(L) + It*dphidxa(L)^2;
C = sqrt(1/S);

Sign in to comment.

More Answers (0)


Find more on Graph and Network Algorithms in Help Center and File Exchange


Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!