An elementary treatise on theoretical mechanics (1893)
Ziwet, Alexander, 1853-1928 · New York, London, Macmillan and Co. · leaf 84
The three forces H, T, W are in equilibrium ; they mustintersect in a point Q which bisects OP, and the force polygonmust be similar to the triangle QPP. I2S-] PARALLEL FORCES. 73 Hence, if the height of a suspension bridge be h, its span 2 /,its total weight 2 W, we have for the horizontal tension… … Fig. 29. portion OP=s (Fig. 29) of the cord, beginning at the lowestpoint O. The weight of this portion is now W=ws, and if a be theangle made by the tangent at P with a horizontal line, we havethe conditions of equilibrium Tcosa=^T— = H, Tsma=T^ = ws.ds ds Dividing and putting H/w = c, we have the…
Mechanics, Analytic
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