Determination of the Equation of Equilibrium and the Boundary Conditions of a Circular Cylindrical Shell by the Method of Variations

Citation preview

DmwmmicB

m m ^umms ot

m tm

m m ù m ï Gominmê w x o m m u m

mm*

BT m» mmm as* fmmmn

pBsia

Wmltteà là partial fulflimeat

of IBs r#%àlremoàt$ for $h#

4#gy#@ of

iu s « or àmoNAUfxojo» m aim aim at the

mnwm or momts Peter M. Hose* #%me 10#O

%g>rove&#

fdç

*2P\X^(w *wj i(w ^wf*-20~^J[w*x

where;

(la)

l2&)

>/.? X

It remains to develops the potential of external forces*

%e

potential of the end load B is simply the end force multiplied the extension of a generator element which in its nndeforsmd state was originally parallel to the axis of tifâ cylinder.

It has l ^ n

u .

3 found that the sxtensicm of a generator element is

—

~ d (p j - ( H ) ' ' I M J

“

and the total force acting on an edge element of length

de is

Bhaiy . Carrying out the above indicated multiplication and ei2g>lifying leads to, d