Consider the hollow tubular shaft shown in Figure Q3 below. The shaft has three different outer diameters, daß = 0.2 m,

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Consider The Hollow Tubular Shaft Shown In Figure Q3 Below The Shaft Has Three Different Outer Diameters Dass 0 2 M 1 (256.88 KiB) Viewed 12 times

Consider the hollow tubular shaft shown in Figure Q3 below. The shaft has three different outer diameters, daß = 0.2 m, dec = 0.1 m and dcp = 0.15 m and a single internal diameter dinternal = 0.05 m. The shaft is fixed against rotation at A. You may assume the shear modulus is G = 30 X 10' N/m2. The following torques are applied as indicated in Figure Q3, TR = 2000 Nm, Tc = 1800 Nm and To = 1200 Nm. Note that the right hand thumb rule is used to indicate the sense of rotation and you may assume right-pointing double-headed arrows indicate positive torque/rotation. You may use the following formulae in which all symbols have their usual meaning: TT Ip = (d) - d) 32 TL o = GIP Tr Tmax = lp dAB = 0.2 m dcp = 0.15 m dbc = 0.1 m A B D TE TD dinternal = 0.05 m 1 m 2.5 m 1 m Figure Q3 (a) Determine the magnitude and sense of rotation of the internal torque in the three segments of the shaft. (6 marks) (b) Determine the total angle of twist between A and D and indicate its sense of rotation. (15 marks) (c) Determine the maximum shear stress and strain in the shaft between B and D and sketch these quantities on appropriately orientated elements.