1 - Alaska Energy Data Inventory

III. VAUGHAN'S METHODIn. the Journal of the ·power Division of the American Society of CivilEngineers, Vol. 82, No. P02, April 1956, E.W. Vaughan presented a method todetennine the buckling resistance of a penstock liner. His method is asfollows:. rOY-OCr +L- 2 £'60"cr {yo + OC£JjJ(Rf Z _ R + ay-(Tcr -0 l'O"g-f5crl-R £7/, tTl T Z4CTcr - -:---tJ,IE ', . £ = /-v~cry • yield strength of steelwhere £,. Young's modulus of steel.&ratio of steelV=Poisson' sCTcr = stress in steel liner bef"ore buckling but at incipent bucklingother terms are as previously defined and all. units must beconsistente o-cr and T are the only unlmowns in equation~. Other factors are known fromthe geamet17 of the problem and the stee1 to be used. The following is oneway to utilize Vaughan I s method:1. Assume a value of C7 C r2. Find the value of : which satisfies eqw1tion 1. This can be doneby trial and error or by explicit s~ution of the quadratic equation.,.,.-- P R . I"T":: I"T'"3._~ the hoop stress equat i on, v - y-, substJ..tute vcr for vR . . .and value of T from. 2 above and solve for pressure P which the liningcan resist. A more simple way to solve this problem is to use the attached.curves as follows:1. Pick graph of appropriate yield strength.•2. Enter graph on left side with design head. Follow a horizontal lineYoto the curve labeled with the desired value of R : From this point2