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Mechanics of engineering. Comprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc (1888)

Church, Irving P[orter], 1851- [from old catalog] · New York, J. Wiley & sons · leaf 281

An illustration from Mechanics of engineering. Comprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc, 1888, leaf 281
ismatic BeamSupported at the Ends.—Let the load per lineal unit of thelength of beam be =w (this can be made to include theweight of the beam itself). Fig. 235. From symmetry, each reaction = y2wl. For the free body nO we have, put-ting J(mom. about n)=0, : : 2(58 MECHANICS OF ENGINEERING. which… … Fig. 235. To find the shear J, at n, we may either put J(vert. com-pons.)=0 for the free body, whence J= y2wl—tox, and musttherefore be downward for a small value of x ; or, employ-ing § 240, we may write out dM~dx, which gives -*►-•■» a: the same as before. To find the max. 31, or 3Im, put…

Mechanics, Applied · Engineering · Strength of materials

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