Ꭰ ☐ B 100-mm 30-mm 30-mm- b N 2T b T 1.5T Hollow Bronze section УА 10 mm 0 26 mm Ø Cross-section a-a y Composite section: aluminum steel core x shell w/ steel core 1.0 mm thk" 16 mm 0 Cross-section b-b x
Consider a composite shaft assembly consisting of three segments with varying cross-sections and material configurations.
- Segment AB is made of a solid steel rod ( Gsteel = 70 GPa), with a diameter of 16 mm and length of 30 mm.
- Segment BC is made of hollow bronze section (Gbronze = 38 GPa), with an outer diameter of 26 mm and an inner diameter of 10 mm. The length of section BC is 30 mm.
- Segment CD is a composite of aluminum and steel, where the steel core and the aluminum shell (Galuminum = 26 GPa) are fully bonded throughout the length of the segment. The diameter of the steel core is 16 mm, while the outer diameter of the aluminum is 18 mm. The length of this composite section is 100 mm.
The shaft is fixed at the bottom of section D and subjected to three external torques applied to sections A, B and C, presented in terms of T.
If the rotation of section A relative to section D, is limited to rotate by 0.4468 degrees, determine
the following:
1. The magnitude of the applied torque T (in Nm).
2. The torques carried by both the steel core and the aluminum shell for segment CD (in Nm).
3. The maximum shear stress experienced by the steel core and aluminum shell in segment CD (in MPa).
4. The minimum and maximum shear stress experienced by the bronze segment, segment BC (in MPa).
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