Structural mechanics; comprising the strength and resistance of materials and elements of structural design (1905)
Greene, Charles E. (Charles Ezra), 1842-1903, Greene, Albert Emerson. [from old catalog] · New York, J. Wiley & sons; [etc., etc.] · leaf 129
a uniformly loaded beam oftwo equal, continuous spans has its middle support lower thanthose at its ends by one-fifth of the above deflection, the middlereaction will be one-half the whole weight, the bending momentwill be zero at the middle, and the beam may be cut at that pointwithout disturbance… … Fig. 53 The reaction at the supported end, being at present unknown,will be denoted by P2, and moments will be taken on the right ofany section x. From lack of symmetry, separate expressionsmust be written for segments on either side of W. BETWEEN W AND FIXED END. Mx = P2(l-x)-W(a-x) dv i…