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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 67
rom (5) or (6)only by successive assumptions and approximations.48a. Catenary (Chain or Cable) with Supports at Different Levels.—Given the span k, the difference ofelevation d of the two supports,and the whole length of chain, i;it is required to find x and y(see Fig. 54a) and thus deter-mine the… … - d = 2c. sinhl (A)- and also the relation (7) (8) y-y = c-log.[^] From (7) we find the parameter, c, by trial; then the value of x — xfrom (8); whence, finally, we obtain x and x separately (since x + x = k)With, a; known y is found from (6); i.e., r- y +c = icle c +e -1 or, j/ + c = c-coshl ©■ ■… Mechanics, Applied · Strength of materials
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