3212 buckling of connecting rod in order to thave a

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Unformatted text preview: nkine’s formula, σc . A σc . A = WB about X − axis = ...(∵ For both ends hinged, L = l) 2 2 L l 1+ a 1 + a k xx k xx σc . A σc . A l = WB about Y − axis = and ...[∵ For both ends fixed, L = ] 2 2 2 L l 1+ a 1 + a k yy 2 k yy where L = Equivalent length of the connecting rod, and a = Constant = 1 / 7500, for mild steel = 1 / 9000, for wrought iron = 1 / 1600, for cast iron Fig. 32.12. Buckling of connecting rod. In order to thave a connecting rod equally strong in buckling about both the axes, the buckling loads must be equal, i.e. σc . A l 1+ a k xx ∴ 2 = σc . A l 1 + a 2 k yy 2 2 k xx = 4 k yy or 2 or 2 l l k = 2k xx yy I xx = 4 I yy 2 ...( ∵ I = A · k2) 1152 n A Textbook of Machine Design This shows that the connecting rod is four times strong in buckling about Y-axis than about X-axis. If Ixx > 4 Iyy, then buckling will occur about Y- axis and if Ixx < 4 Iyy, buckling will occur about X-axis. In actual practice, Ixx is kept slightly less than 4 Iyy. It is usually taken between 3 and...
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