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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define shear stress.
π‘ Hint: Think about how the forces are applied.
Question 2
Easy
What is the formula for the polar moment of inertia for a solid shaft?
π‘ Hint: Remember the equation for solid shafts.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the formula to calculate shear stress in a circular shaft?
- Ο = Tr/J
- Ο = J/(Tr)
- Ο = TL/(GJ)
π‘ Hint: Focus on how torque relates to shear.
Question 2
True or False: The polar moment of inertia for a solid shaft is J = Οd^4/32.
- True
- False
π‘ Hint: Recall the formula you learned.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A circular shaft of 0.08 m diameter and length 1.5 m is subjected to a torque of 300 Nm. Calculate the shear stress at a distance of 0.04 m from the center and the angle of twist. Shear modulus is 70 GPa.
π‘ Hint: Utilize the correct formulas in steps.
Question 2
Design a hollow shaft that can safely handle a torque of 1000 Nm without exceeding a shear stress of 50 MPa. Determine the outer and inner diameters, assuming a material with a shear modulus of 75 GPa.
π‘ Hint: Remember to rearrange the formula to find the necessary diameters.
Challenge and get performance evaluation