cantilever_init( cantileverData )

function derivedData = cantilever_init( cantileverData )

% Copyright 2006, The MathWorks, Inc.

    L = cantileverData.length;
    a = cantileverData.height / 2;
    b = cantileverData.width  / 2;
    
    volume = cantileverData.height * cantileverData.width * L;
    mass   = volume * cantileverData.material.density ;
    principalMoments = (1/3) * mass * [     a^2   + b^2   
                                            L^2/4 + b^2   
                                            a^2   + L^2/4  ];                                        
    inertia = diag( principalMoments );
    yzyBendingMoment = 4 * b * a^3 / 3;
    springConstantAtTip = 3 * cantileverData.material.youngsModulus * yzyBendingMoment / ( L^3 );
    
    derivedData.L                  = L;
    derivedData.a                  = a;
    derivedData.b                  = b;
    derivedData.volume             = volume;
    derivedData.mass               = mass;
    derivedData.inertia            = inertia;
    derivedData.yzyBendingMoment   = yzyBendingMoment;
    derivedData.springConstantAtTip = springConstantAtTip;
    derivedData.a = a;

% Test with the following
% [a,b,volume,mass,inertia]=cantilever_init( c.length , c.height , c.width , c.material.density )