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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 140

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 140
ar from the centre of gravity on the axis),then 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.Taking the axis X through thedu centre of gravity, Z being theaxis of rotation, Fig. 138, whileZ is the line of… … *- Fig. 138. 128 MECHANICS OF ENGINEERING. equal term dM{— x)z of opposite sign. Hence fdMxz = 0\.AhofdMyz = 0, since each positive product is annulled by anequal negative one (from symmetry about Z). Since, also,y = 0, all six conditions in § 122 are satisfied. Q. E. D. If the homogeneous body is…

Mechanics, Applied · Engineering · Strength of materials

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