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A shaft is made up of elements (1), (2) and (3). Elements (1) and (2) have solid cross sections each with a diameter of

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A shaft is made up of elements (1), (2) and (3). Elements (1) and (2) have solid cross sections each with a diameter of d, and lengths L and 2L respectively. Element (3) has a tubular cross- section with inner and outer diameters of d and 2d, respectively. Elements (1) and (2) are connected at a rigid connector at C, whereas elements (2) and (3) are joined with a rigid connector at H. Elements (1) and (3) are rigidly connected to grounds at ends B and D, respectively. The material makeup of each element is the same, having a shear modulus of G. Torques are applied at C and H, as shown in the figure. a) Determine the torques carried by each element. Express your answers in terms of T. b) What is the maximum shear stress in the shaft? Express your answers in terms of T and d. At what points on the shaft does this maximum shear stress exist? UNIVERSITY. Do Not Reproduce or Reprint B 27 Reprint Do Not Re L Do Not Reproduce or Reprint L 2d (2) (3) 2L H T Do Not Reproduce or Reprint

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