The elasticity and resistance of the materials of engineering (1883)
Burr, William H. (William Hubert), 1851-1934 · New York, J. Wiley & sons · leaf 160
be- a fore, represent the two reac-tions. Since the load is sym-metrical in reference to C, R = R. For the same reason the mo- b c> ments and shears in one half of the beam will be exactly likethose in the other ; consequently, reference will be made toone half of the beam only. Let x and Xj… … 140 THEORY OF FLEXURE. [Art. 21. M = Rx — p {x — X,) dx,. /. M=Rx^^ (3) If / is the span, at C, M becomes : 2 8 But because the load is uniform : R^^. ^.^^-<^ (4) Hence ; ^/.=%---^ ...... (5) if W is put for the total load. Placingin Eq. (3) : M =i- {Ix - X) o (6) 2 The moments M, therefore, are…
Strength of materials · Building materials
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