. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. and let a weight W be applied at the centre C, ,i= Z D AC=: / D B C, and T^lhe measure of tension in Ihe wire A C H ; Ihen T = J \V cos o. But if W be supported in a projection at an Z = a, the tension excited must be=W cos a. Let us see if this is not the case. At the point A a resistance must be applied in the direction of the ariow = i W cos a, and aimllarly at B a resistance is required = J W cos o, and the sum of these resistances (which are solely caused by the action o
. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. and let a weight W be applied at the centre C, ,i= Z D AC=: / D B C, and T^lhe measure of tension in Ihe wire A C H ; Ihen T = J \V cos o. But if W be supported in a projection at an Z = a, the tension excited must be=W cos a. Let us see if this is not the case. At the point A a resistance must be applied in the direction of the ariow = i W cos a, and aimllarly at B a resistance is required = J W cos o, and the sum of these resistances (which are solely caused by the action of the weight W,) is 5 W cos a + J W cos a = W cos a, Consequently the tension must be \V cos a, half of it (or J W cos o) acting IN each direction. I believe 1 have now fully replied to IMr. Bashforth, and if anything is passed it is an error of omission which does not proceed from a wish to avoid discussion; I have no fear of the ordeal he talks about, and beg to band you a proposition for his consideration. PkoPosition.âLet A B C, fig. 3, be a cord or string void of weight, and. suspended freely between two fixed points A and C, lake B Ihe origin. Suppose pressures applied to this curve, and let I'j U be a line repre- senting the direction of one of these pressures, and (i/^ ây)=« (â '"iâ^") i's equation, where .r and y are co-ordinites of the poiut 1' through which it passes, draw P, T a tangent to the curve at the point P, so that rf ;, (!',-y) = (t, âx) where tan m = IV^V P,. Now I say that the smaller tan-' m is, the less is Ihe tension beyond the poiot P ; and finally, when tan-' m=tan-' 0, or tan-' a=lan-' âJ, and d X d y the equation becomes (yjâi/)=-r^ {x^ â x)={y, â y\, that not any tension at all exists between the point P and the point at which the axis <if .r in- tersects the curve, and consequently the segment P B may be removed without at all ell'ecling the equilibrium of the segment P C. I remain. Sir, Your obedient servant, Banbiidge.
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