The steel tube AB (see Figure 2) is fully fixed at its end A and free at B. It is subjected to a torque T at free end B as indicated in Figure 2. The outer diameter of the steel tube is d.-120 mm, and its inner diameter is d-60 mm. The shear modulus of steel is Gaeel 90 GPa, and ultimate shear stress is t-250 MPa. (a) Determine the maximum shear stress in the tube and corresponding factor of safety FS if the angle of rotation at B (due to torque T) is 6-1.5 (b) If the factor of safety is FS-1, determine the angle of rotation at B, and corresponding torque T. ( (c) A solid rod of circular cross section is used instead of the hollow steel tube in question (a). It is subjected to the same torque with same factor of safety as in question (a). Determine the radius of this solid steel rod do 120mm d=60mm T. 1.5 m Cross Section Figure 2 a full solution please

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The steel tube AB (see Figure 2) is fully fixed at its end A and free at B. It is subjected to a torque T at free
end B as indicated in Figure 2. The outer diameter of the steel tube is d,-120 mm, and its inner diameter is
d-60 mm. The shear modulus of steel is Gteel 90 GPa, and ultimate shear stress is t-250 MPa.
(a) Determine the maximum shear stress in the tube and corresponding factor of safety FS if the angle of
rotation at B (due to torque T) is -1.5°
(b) If the factor of safety is FS-1, determine the angle of rotation at B, and corresponding torque T. (
(c) A solid rod of circular cross section is used instead of the hollow steel tube in question (a). It is subjected
to the same torque with same factor of safety as in question (a). Determine the radius of this solid steel
rod
do=120mm
d=60mm
T.
1.5 m
Cross Section
Figure 2
a full solution please
Transcribed Image Text:The steel tube AB (see Figure 2) is fully fixed at its end A and free at B. It is subjected to a torque T at free end B as indicated in Figure 2. The outer diameter of the steel tube is d,-120 mm, and its inner diameter is d-60 mm. The shear modulus of steel is Gteel 90 GPa, and ultimate shear stress is t-250 MPa. (a) Determine the maximum shear stress in the tube and corresponding factor of safety FS if the angle of rotation at B (due to torque T) is -1.5° (b) If the factor of safety is FS-1, determine the angle of rotation at B, and corresponding torque T. ( (c) A solid rod of circular cross section is used instead of the hollow steel tube in question (a). It is subjected to the same torque with same factor of safety as in question (a). Determine the radius of this solid steel rod do=120mm d=60mm T. 1.5 m Cross Section Figure 2 a full solution please
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