The stability of rectangular plates with built-in supports at the edges

Author

John Bruce Miles

Abstract

"The purpose of this investigation is to derive an expression for the critical stress for a thin rectangular plate with compressive edge loading. The load is applied on two opposite edges with the remaining two edges built-in. (See Fig. 1) This is essentially a stability problem.

Rectangular plates with compressive edge loading and various edge restraints appear in a number of engineering structures. Bulkheads of ships could be so classified, as could certain components of fabricated beams and columns. The new supersonic B-58 bomber developed by Convair has a honeycomb wing structure dictated by heat conduction requirements. This, too, involves rectangular plates with compressive edge loading.

It is hoped that this thesis will aid engineers in designing rectangular plates with the particular edge restraint mentioned. To further advance this purpose, the author has shown the resultant equations in graphical form. This greatly simplifies the final equations, which are transcendental"--Introduction, page 1.

Advisor(s)

Miles, Aaron J.

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

Missouri School of Mines and Metallurgy

Publication Date

1957

Pagination

v, 27 pages

Note about bibliography

Includes bibliographical references (page 26).

Rights

© 1957 John Bruce Miles, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Plates (Engineering) -- Stability -- Mathematical modelsPlates (Engineering) -- Design and constructionStrains and stresses

Thesis Number

T 1145

Print OCLC #

5154729

Electronic OCLC #

939529905

Recommended Citation

Miles, John Bruce, "The stability of rectangular plates with built-in supports at the edges" (1957). Masters Theses. 2185.
https://scholarsmine.mst.edu/masters_theses/2185