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Variable Distributed Loads in the Theorem of Three Moments

Published online by Cambridge University Press:  28 July 2016

F. J. Turton
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Extract

The Theorem of Three Moments in a simple form, referring to bending moments at any three consecutive supports A, B, C, of a continuous beam uniform in each bay, AB = a, BG = c, takes the form

w and being constant load intensities over AB and CB respectively.

On p. 159, Vol. 42 (1938), of this journal, Capt. J. Morris discussed a modification in this case (and in the more general case when the beam is in thrust) when the load intensity varies according to a parabolic law.

Type
Research Article
Information
The Aeronautical Journal , Volume 45 , Issue 366 , June 1941 , pp. 218 - 224
Copyright
Copyright © Royal Aeronautical Society 1941

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References

Note on page 218 * Phil. Mag., Ser. 7, XXV., p . 852 (1938).

Note on page 218 † Berry: Trans. Roy. Aero. Soc., No. 1. The tables of values of these functions are reprinted by Pippard and Pritchard, “ Aeroplane Structures.&”

Note on page 219 * The principal error terra is given in brackets, thus [ ].

Note on page 219 † Whittaker and Robinson: Calculus of Observations, p. 155.

Note on page 222 * Whittaker and Robinson, loc. cit., p. vi