Mechanics of Internal Work Or Work of Deformation in Elastic Bodies And System

Cover Mechanics of Internal Work Or Work of Deformation in Elastic Bodies And System
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(119) Of course in both of these special cases the built-in section of the beam is represented by the section at point 1 in Fig. 28; with corresponding meaning of the symbols in the above two equations.
56. Continuous Girders. Case VI. (Fig. 29. ) This figure shows a continuous girder extending over three spans and with its extremities resting (not built-in) on the extreme supports, f wa liiUUUU II wa IJIIUi ilijiiaiiiimiiiiiiiiii!
oj i a f (\}2 "3 1 j I 1 u ft 2a - i !
and 3. The two spans on
...the left are each of length a and carry a uniformly distributed load (of the same rate, w, per lin. Ft. On both spans) throughout their entire lengths. The other span has double the length of either of the first and carries a uniformly distributed load over its whole length, of rate w'.
The girder is homogeneous and prismatic and the four supports are at same level, hence the Theorem of Three Moments is available [eqs. (112) and (113)]. Applying it first to the two consecutive spans on the left, viz.


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