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The Quarterly Journal of Mechanics and Applied Mathematics 1958 11(1):73-87; doi:10.1093/qjmam/11.1.73
© 1958 by Oxford University Press
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DIFFUSION OF LOAD FROM A BOOM INTO A RECTANGULAR SHEET

J. B. CALDWELL

( Admiralty Offices Bath )

A solution is obtained for an elastic plane-stress problem in which load is applied to a finite rectangular sheet through a boom riveted to one of its longer edges. The other edges of the sheet are stiffened, and resistance to bending in the plane of the sheet is provided by an elastic restraint along the loaded edge. Using a stress function in Fourier series form, both the efficiency of the sheet under load and the maximum shear stress in the structure are obtained as the sums of infinite series from which the relative importance of the principal parameters of the problem can be deduced. It is shown that the flexibility of the elastic restraint and of the riveted connexion have significant effects on the efficiency of the sheet and on the magnitude of the maximum sshear stress respectively.


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