Table 35 Formulas for elastic stability of plates and shells
Thin tube with closed ends under uniform external pressure, lateral and longitudinal
Notation file
Provides a description of Table 35 and the notation used.
Enter dimensions and properties:
Tube dimensions:
radius:
length:
wall thickness:
Modulus of elasticity:
Poisson's ratio:
Conditions:
For the expressions in the case to be valid, the following condition must be true (i.e., condition = 1):
Critical pressure:
The general expression for q' as a function of n (the number of lobes formed by the tube in buckling) is as follows:
To determine q', it is necessary to determine which value of n greater than 2 provides the smallest value of q' for the given t/r.
Input the number of nodes you wish to examine:
Define the n's to be examined:
Find the value of n that corresponds to the smallest computed value of q':
Compute q' using the correct value of n:
Values of experimentally determined critical pressure range 20% above and below the theoretical value given by the expression above.
References:
Ref. 19.
Ref. 20.
Ref. 81.
Ref. 109.
End of Section