Elements of synthetic mechanics

 
9781130000108: Elements of synthetic mechanics

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1860 Excerpt: ...horizontal one. If the points IT and V be on the same level, it is obvious that the curve or polygon becomes symmetrical in reference to the vertical 0 A", in which case it is only necessary to find the lengths of the suspenders for one data necessary to half the bridge. Having given the points of suspension, 213., their horizontal distance apart, and the level of the lowest bridge, side of the funicular polygon, it is easy to determine the dimensions of every part of the bridge.. XV. OF BODIES RESTING UPON EACH OTHER, AND UPON INCLINED PLANES. 201.--When two bodies touch and compress each Action nnd.i..i. Til j.. II-. reaction of bodies other, there is immediately a depression or yielding in a forced lnlo direction perpendicular to the surfaces at the point of apparent contact; contact, which indicates that the reaction of the two bodies takes place in the same direction; that is to say, in the direction of the normal common to both surfaces. Let us suppose one of the two bodies as A to be solicited by forces of which the resultant shall coincide with this nor-Fig. 184mal, and that the other body A' is fixed; it is plain that the reaction of the latter body will destroy this resultant, and that the body A will remain V_/ reaction or two J bodies; at rest. But the equilibrium will also subsist if the body A' be replaced by a force equal to the reaction which it exerts on the body A, while this latter body is perfectly free to move and acted upon by this new force in conjunction with the given forces. This property of all bodies, by which they resist the re-ciprocal action of each other in directions normal to both the principle of surfaces at the common point of contact, extends to the two bodies'1 f general case of a single body pressing upon t...

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