i need to find the displacement for the given values

clear all
syms p E v a b d A I G m U
p = 10
  E = 3*10^4
  v = 0.29
  a = 39
  b = 2*a
  d = 1
  A = pi/4
  I = (pi/64)*d^2
  G = E/(2*(1+v))
  m = 5/6
   U = p^2*a^2/(2*E*I)+p^2*a/(2*m*G*A)+p^2*b/(2*E*A)+p^2*b/2*E*A+p^2*a^3/2*G*I+p^2*a/2*G*m*A
  disp =  diff(U,p);

Answer 1

[Torsten]

syms p 
  E = 3*10^4;
  v = 0.29;
  a = 39;
  b = 2*a;
  d = 1;
  A = pi/4;
  I = (pi/64)*d^2;
  G = E/(2*(1+v));
  m = 5/6;
  U = p^2*a^2/(2*E*I)+p^2*a/(2*m*G*A)+p^2*b/(2*E*A)+p^2*b/2*E*A+p^2*a^3/2*G*I+p^2*a/2*G*m*A;
  dUdp =  diff(U,p);
  p0 = 10;
  disp(double(subs(dUdp,p,p0)))

   3.5993e+08

[sai nikhil teja]

disp(double(subs(dUdp,p,10)))

what does this function do? can you explain this function here like what is disp and double?

[Torsten]

dUdp is a symbolic expression that depends on the symbolic variable p.

subs substitutes the value p0=10 for the symbolic variable p. The result is still symbolic.

double converts the symbolic value into a double value.

disp displays this value.

But is diff(U,p) really the displacement ? What is U ? What is p ?

[sai nikhil teja]

U is the energy and du/dp is the displacement. p is the force that is causing the dispalacement. This is the castiligio theorm where differentiating the energy equation with the force gives us the vertical displacement.