A cylindrical pressure vessel, with a diameter of 40cm and a wall thickness of 10mm is made of steel (isotropic, with Young’s modulus = 200GPa; Poisson’s ratio = 0.28) and is pressurized to 20MPa. The longitudinal and hoop stresses in the wall, σl and σh, respectively, are given by:

σl=pr2t

and σh=prt

What is the strain in the radial direction, through the thickness of the pressure vessel?

6 answers

-8.4 *10^-5
-8.4 *10^-5 wrong!
it's almost good

-8.4 *10^X*

*find correct X :)

epsilon_r=-ni*epsilon_h-ni*epsilon_l/E
epsilon_h=sigma_h/E
epsilon_l=sigma_l/E
-8.4 *10^-4
thx
I can't understand the epsilon r, could you write it again? because it seems
- nu ?(epsilon h - Epsilon L/E) and this is not unitless