Masters Theses


"The thesis presents a review of literature giving reference to several books which present the many and varied methods of determining the shearing stresses in shafts. However, no reference was found that used a rubber membrane analogy similar to that used in th is thesis. The theory of torsion, the membrane theory, and its analogy have been presented for a better understanding of the subject. Illustrations are used freely for clarity.

Analytical methods and solutions are given for two problems. The first method is that of writing a Saint-Venant stress function and satisfying the necessary conditions for it to be a true stress function. The c ircular shaft is solved by this method. The ZZ method, involving complex variables, is the second method presented in the thesis. The solution of the second problem, concerning the single spline shaft, is solved by the ZZ method.

The development of test equipment and the procedure of experimentation covers such items as stretching of the membrane, building of templets, methods of obtaining volume and much of the other pertinent information which is necessary for running experiments similar to those covered in this thesis.

Experimental values obtained for the single spline shaft are occasionally compared with that of the theoretical values. The most important of these is the comparison of the stress distribution curves for the single spline shaft"--Abstract, p. ii


Miles, Aaron J.

Committee Member(s)

Pagano, Sylvester j., 1924-2006
Schaefer, Rodney A., 1926-2002
Schowalter, Ralph E., 1923-2001


Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering


University of Missouri at Rolla

Publication Date



vi, 57 pages

Note about bibliography

Includes bibliographical references (pages 55-56)


© 1964 Myron D. Bruns, All rights reserved.

Document Type

Thesis - Open Access

File Type




Thesis Number

T 1582

Print OCLC #