Mechanics of engineeringComprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc . Fig. 241. The moment and shear diagrams are drawn in accordancewith these results. FLEXUEE. SAFE LOADS. 277 If the load TV = id is uniformly distributed on the can-tilever, as in fig. 242, by making nO free we have, puttingI(mom. about n) = 0, v—=wx. | rJf= Mm=y2id2= y2 m. Hence the moment curve in a parabola, whose vertex is atOf and axis vertical. Putting 1 (vert, compons.) = 0 weobtain J = tax. He
Mechanics of engineeringComprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc . Fig. 241. The moment and shear diagrams are drawn in accordancewith these results. FLEXUEE. SAFE LOADS. 277 If the load TV = id is uniformly distributed on the can-tilever, as in fig. 242, by making nO free we have, puttingI(mom. about n) = 0, v—=wx. | rJf= Mm=y2id2= y2 m. Hence the moment curve in a parabola, whose vertex is atOf and axis vertical. Putting 1 (vert, compons.) = 0 weobtain J = tax. Hence the shear diagram in a triangle,and the max. J= id = W. 250. Resumeof the Four Simple Cases.—The following tableshows the values of the deflections under an arbitraryload P, or W, (within elastic limit), and of the safe load; Cantilevers. Beams with two end supports. With one endload PFig. 241 With unif. loadW=wlFig. 242 Load PinmiddleFig. 234 Unif. loaaW=wlFig. 235 Deflection EI EI 1 PI348mEI 5 TT/3384* EI | Safe load (from ?11 JlI Rl i*l 8*I 1 = Mm) le le le le Relative strength 1 2 4 8 1285 j Relative stiffnessj under same load 1 73 16 ( Relative stiffness( under safe l
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
