(b) A cooling tube having the cross section shown in Fig. Q1(b) is formed from a sheet of stainless steel of 3 mm thickness. The radii c₁ = 150 mm and c₂ = 100 mm are measured to the center line of the sheet metal. Knowing that a torque of magnitude T = 3 kNm is applied to the tube, determine (i) the maximum shearing stress in the tube (ii) the magnitude of the torque carried by the outer circular shell Neglect the dimension of the small opening where the outer and inner shells are connected.
(b) A cooling tube having the cross section shown in Fig. Q1(b) is formed from a sheet of stainless steel of 3 mm thickness. The radii c₁ = 150 mm and c₂ = 100 mm are measured to the center line of the sheet metal. Knowing that a torque of magnitude T = 3 kNm is applied to the tube, determine (i) the maximum shearing stress in the tube (ii) the magnitude of the torque carried by the outer circular shell Neglect the dimension of the small opening where the outer and inner shells are connected.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:(b) A cooling tube having the cross section shown in Fig. Q1(b) is formed from a sheet of
stainless steel of 3 mm thickness. The radii c₁ = 150 mm and c₂ = 100 mm are measured
to the center line of the sheet metal. Knowing that a torque of magnitude T = 3 kNm is
applied to the tube, determine
(i) the maximum shearing stress in the tube
(ii) the magnitude of the torque carried by the outer circular shell
Neglect the dimension of the small opening where the outer and inner shells are
connected.
Hint: q
-
T
2A
q=rt, T = Fr.
Fig. Q1(b)
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