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 404
w This is the law of vertical depth of loading required. Fora point of the linear arch where the tangent line is verti-cal, sin #=0 and z would = oo ; i.e., the load would be in- LINEAR AECHBS. 391 Jlnitely high. Hence, in practice, a full semi-circle, for in-stance, could not be used as a linear… … sin3# (5) Fig. 33: Hence the depth of loadingmust vary inversely as the cube of the sine of the angle 6made by the tangent line (of the linear arch) with the ver-tical. To find the depth z by construction.—Having z0 given, 0being the centre of the arch, prolong Qa and make ab =zQ; at b draw a | to…
Mechanics, Applied · Engineering · Strength of materials
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