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Mechanics of engineering (solids) : comprising statics and kinetics of solids, and the mechanics of the materials of construction, or strength and elasticity of beams, columns, shafts, arches, etc. : for use in technical schools (1911)

Church, Irving P. (Irving Porter), 1851-1931 · New York : Wiley ; London : Chapman & Hall · leaf 146

An illustration from Mechanics of engineering (solids) : comprising statics and kinetics of solids, and the mechanics of the materials of construction, or strength and elasticity of beams, columns, shafts, arches, etc. : for use in technical schools, 1911, leaf 146
ntre of gravity on the axis),tlien the acting forces are equivalent to a single force P= odMp, applied at 0 and acting in a gravity-line away from the centre of gravity.Takins; the axis X throuorh the(JM centre of gravity, Z being tlieI axis of rotation, Fig. 138, wliileZ is the line of symmetry,… … 128 MECHANICS OF ENGINEERINO equal term dM{-— x)z of opposite sign. QencefdMxz — 0.A\&o J^dMyz = 0, since each positive product is annulled by anequal negative one (from symmetry about Z). Since, also,y = 0, all six conditions in § 122 ai-e satisfied. Q. E. D. If the liomogeneous body is any…

Mechanics, Applied · Strength of materials

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