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The Quarterly Journal of Mechanics and Applied Mathematics 1954 7(1):1-7; doi:10.1093/qjmam/7.1.1
© 1954 by Oxford University Press
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THE PROBLEM OF AN INFINITE PLATE UNDER AN INCLINED LOADING, WITH TABLES OF THE INTEGRALS OF Ai(±x) AND Bi(±x)

M. ROTHMAN

( The Northern Polytechnic, Holloway, N.7 )

The present paper deals with the problem of an infinite plate uniformly loaded at right angles to the infinite edges which are freely pivoted, the other two being free.

The solution is found to depend ultimately on tables of the functions {int} Ai(±x) dx and {int} Bi(±x) dx, all of which have been tabulated over the range |x| < 10 except {int} Bi(+x) dx which is given for the range x < 2.

Tables of the functions {int} Gi(x) dx and {int} Hi(–x) dx are also given to x = 2, these being necessary for the complete solution of the problem.


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