Practice Trigonometric formula for σ and τ - 2.2 | 9. Conditions for applying Mohr's Circle | Solid Mechanics
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Trigonometric formula for σ and τ

2.2 - Trigonometric formula for σ and τ

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define normal stress.

💡 Hint: Think about the forces acting directly onto a surface.

Question 2 Easy

What does shear stress represent?

💡 Hint: Consider how a sliding force acts across a material.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the term normal stress refer to?

Force per unit area acting perpendicular
Force per unit area acting parallel

💡 Hint: Remember how forces distribute along different surfaces.

Question 2

True or False: Mohr's Circle is useful for visualizing stress transformations.

True
False

💡 Hint: Think about different orientations builders consider on a construction site.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A material experiences normal stress σ1 = 120 MPa and σ2 = 60 MPa. Calculate the maximum shear stress using Mohr’s Circle.

💡 Hint: Visualizing might help; plot this on Mohr's Circle.

Challenge 2 Hard

Given a rectangular element under loading with σ = 80 Pa, τ = 40 Pa, draw the Mohr's Circle and find σ and τ for an angle of 30°.

💡 Hint: Check your trigonometric functions to aid visualization.

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Reference links

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