Practice - Variation of γ and τ in the cross section
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Practice Questions
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Define shear stress.
💡 Hint: Consider how forces act on a material.
What does it mean when we say shear strain varies linearly?
💡 Hint: Think about how you visualize a straight line graph.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the relationship between shear stress and shear strain?
💡 Hint: Think about how materials deform under shear forces.
True or False: Shear strain is discontinuous at an interface of two different material cylinders.
💡 Hint: Focus on the behavior of different mechanical properties.
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Challenge Problems
Push your limits with advanced challenges
Consider a hollow composite cylinder made of Aluminum (shear modulus = 26 GPa) and Steel (shear modulus = 79 GPa) that is subjected to a twisting force. Given the inner radius is 0.1 m and outer radius is 0.2 m, calculate the shear stress at both materials' interfaces under a specified twisting moment.
💡 Hint: Think about how shear modulus affects stress and that the total torque remains constant.
Propose a design modification to a cylindrical shaft made of a single material to improve its torsional performance. Consider the implications of shear stress and how this impacts design choices.
💡 Hint: Integrate knowledge from both shear stress and strain to make informed design improvements.
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