20.17 (B). Compare the angles of twist of the following sections when each is subjected to the same torque of 3 kN m: (a) circular tube, 80 mm outside diameter, 6 mm thick; (b) square tube, 52 mm side length (median dimension), 6 mm thick; (c) circular tube as (a) but with additional four rectangular fins 80 mm long by 15 mm wide symmetrically placed around the tube periphery. All sections have the same length of 2 m and G = 80 GN/m² [0.039 rad; 0.088 rad; 0.038 rad] To what maximum torque can sections (a), (b) and (c) be subjected if the maximum shear stress is limited to 100 MN/m²? [4.8 kNm; 3.24 kN m; 5.7 kN m] What maximum angle of twist can be accepted by tube (c) for the same limiting shear stress? [0.0625 rad]

Structural Analysis
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Chapter2: Loads On Structures
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20.17 (B). Compare the angles of twist of the following sections when each is subjected to the same torque of
3 kN m:
(a) circular tube, 80 mm outside diameter, 6 mm thick;
(b) square tube, 52 mm side length (median dimension), 6 mm thick;
(c) circular tube as (a) but with additional four rectangular fins 80 mm long by 15 mm wide symmetrically placed
around the tube periphery.
All sections have the same length of 2 m and G = 80 GN/m²
[0.039 rad; 0.088 rad; 0.038 rad]
To what maximum torque can sections (a), (b) and (c) be subjected if the maximum shear stress is limited to
100 MN/m²?
[4.8 kNm; 3.24 kNm; 5.7 kN m]
What maximum angle of twist can be accepted by tube (c) for the same limiting shear stress?
[0.0625 rad]
Transcribed Image Text:20.17 (B). Compare the angles of twist of the following sections when each is subjected to the same torque of 3 kN m: (a) circular tube, 80 mm outside diameter, 6 mm thick; (b) square tube, 52 mm side length (median dimension), 6 mm thick; (c) circular tube as (a) but with additional four rectangular fins 80 mm long by 15 mm wide symmetrically placed around the tube periphery. All sections have the same length of 2 m and G = 80 GN/m² [0.039 rad; 0.088 rad; 0.038 rad] To what maximum torque can sections (a), (b) and (c) be subjected if the maximum shear stress is limited to 100 MN/m²? [4.8 kNm; 3.24 kNm; 5.7 kN m] What maximum angle of twist can be accepted by tube (c) for the same limiting shear stress? [0.0625 rad]
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