--> //initializations

--> fo=8 //hertz (operating frequency)
 fo  = 

   8.


--> fn=4 //hertz (natural frequency)
 fn  = 

   4.


--> D=0.3 //(damping factor)
 D  = 

   0.3


--> //calculations

--> r=fo/fn //(ratio of frequency)
 r  = 

   2.


--> M=1/sqrt((1-r^2)^2+(4*D^2*r^2)) //(magnification factor)
 M  = 

   0.3094922


--> //results

--> printf('magnification of a machine foundation=%f',M) 
magnification of a machine foundation=0.309492

