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 59
ry length, c, of similar cord weighing q lbs. per unitof length, i.e., H0 = qc\ an actual portion of the cord, oflength 8, weighs qs lbs. Fig. 54 shows as free and in equilib- j rium a portion of the curve of anylength s, reckoning from 0 thevertex. Required the equation ofthe curve. The load is… … dx STATICS OF FLEXIBLE CORDS. 47 Put dy* = ds2 — dx*, and we have, after solving for dxcds r*s ds - -*=«/wh;=€lo^s+Vs2+^ Vs* + c* t/o Vs* + c and x = c . loge [(5 + iV + c2) -f- <?], . . . (2) a relation between the horizontal abscissa and length of curve.Again, in eq. (1) put dx* = ds* — dy2,…
Mechanics, Applied · Engineering · Strength of materials
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