. The strength of materials; a text-book for engineers and architects. e wiU deal with it here although there is also bendingstress. Referring to Fig. 150. let the centre line of the spring atany point be inclined at an angle a to the horizontal; thenthe normal section plane x x of the wire will be at an anglea to the vertical load W. The load W has a moment W Rabout the line centre o of the section and this moment hasa component o « = W R cos a which is a moment in the planeX X and causes a t^visting action, and a component a 6 = W Rsin a which is a moment normal to the plane x x and causesa
. The strength of materials; a text-book for engineers and architects. e wiU deal with it here although there is also bendingstress. Referring to Fig. 150. let the centre line of the spring atany point be inclined at an angle a to the horizontal; thenthe normal section plane x x of the wire will be at an anglea to the vertical load W. The load W has a moment W Rabout the line centre o of the section and this moment hasa component o « = W R cos a which is a moment in the planeX X and causes a t^visting action, and a component a 6 = W Rsin a which is a moment normal to the plane x x and causesa bending action. .-. T = WR cosal M = WRsina/ It is not altogether easy to follow this resolution into a twist-ing and a bending moment at first, parth* because it is notvery easy to give a very clear diagram with the forces actingin different planes, but a Little consideration of the problemwill probably remove the difficulty. SPRINGS 347 The angle of torsion in the plane x x will be given Work done against torsional stress = -^ = 901 W2 R2 C0S2 a I - ~^GX ^ ^. Fig. 150.—Open-coiled bending moment is constant, so that (see p. 264) Work done against bending stress _ W2 R2 sin2 a I 2EI 2EI (3)
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