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 500
[Its own weightneglected.] As a consequence of the load-ing, the extremity 0 is displaced tosome position, f)^, but the bendingis slight. Required, the projectionsAx and Ay of this displacement and also the angle 0K0„ or ^,which the tangent-line at 0„ makes with its former (horizon-tal) position… … FiG. 439. 480 MECHANICS OF ENGINEBKING. sideration). Hence the co-ordinates x and y of any point, m, oftlie axis of the beam are as shown in the figure. Taking nowpolar co-ordinates, as shown, we note that x = r cos d%J/ = r (1 — sin ^); and ds = rdB. We must also put downthe following integral…
Mechanics, Applied · Strength of materials
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