Practice Shear Stress Formula - 2.1 | Torsion and Twist | Mechanics of Deformable Solids
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Shear Stress Formula

2.1 - Shear Stress Formula

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define shear stress.

💡 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?

💡 Hint: Remember the equation for solid shafts.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula to calculate shear stress in a circular shaft?

τ = Tr/J
τ = J/(Tr)
τ = TL/(GJ)

💡 Hint: Focus on how torque relates to shear.

Question 2

True or False: The polar moment of inertia for a solid shaft is J = πd^4/32.

True
False

💡 Hint: Recall the formula you learned.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

💡 Hint: Utilize the correct formulas in steps.

Challenge 2 Hard

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.

💡 Hint: Remember to rearrange the formula to find the necessary diameters.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.