Practice Sign convention while using Mohr's circle - 4 | 9. Conditions for applying Mohr's Circle | Solid Mechanics
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Sign convention while using Mohr's circle

4 - Sign convention while using Mohr's circle

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does Mohr's Circle represent?

💡 Hint: Think about graphical versus numerical methodology.

Question 2 Easy

What is the sign convention for shear stress?

💡 Hint: Refer to how direction can change depending on orientation.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the angle of rotation in Mohr's Circle to find stress on the opposing plane?

90 degrees
180 degrees
360 degrees

💡 Hint: Think about how many degrees represent an opposing plane.

Question 2

True or False: In Mohr's Circle, shear stress signs are always positive.

True
False

💡 Hint: Consider how the direction influences the sign.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a stress state with σ_x = 100 MPa, σ_y = 50 MPa, and τ_xy = 25 MPa, calculate the principal stresses using Mohr's Circle and determine the associated shear stresses on the principal planes.

💡 Hint: Remember to find the center using the average of σ_x and σ_y.

Challenge 2 Hard

Explain why shear stress can appear negative when analyzed between two opposing planes in Mohr’s Circle, and provide a mathematical example.

💡 Hint: Think about sign changes and their impact during stress state transitions.

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