Design and Stress Analysis of Extraterrestrial ... - The Black Vault

pR _prtgii
h (5.39)
where R is the shell's radius of curvature.
P
I
I
I
00
Fig. 5.28. Determining the Fig. 5.29. Equilibrium of a,
axial force of a "conical shell." shell element.
Membrane stresses ar and a are the reason foi' the appearance
of deformation. The greatest stresses a lead to shell deformation
in a radial direction:
pr
% R
2
5 401
)
B! tg ~ .(
Radial displacements toward an increase in-the shell's radius'
of curvature R are assumed positive. Pressure p acting on the internal
surface of the shell from the center to the periphery is also assumed
positive.
As in a cylindrical shell, we express al' strains and internal
forces in terms of full radial displacements of w.
Thus, the relative deformation in a circular direction is'
55 rtgf
558