Practice Euler’s Theory of Buckling - 2 | Column Buckling | Mechanics of Deformable Solids
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Euler’s Theory of Buckling

2 - Euler’s Theory of Buckling

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define the term 'critical load'.

💡 Hint: Remember, it's linked to buckling failure.

Question 2 Easy

What is the formula for Euler's critical load?

💡 Hint: Look at the components: identify E, I, and Leff.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for calculating the critical load of a column?

Pcr = π²EI/(Leff)²
Pcr = 2EI/(πLeff)
Pcr = EI/(π²Leff)

💡 Hint: Remember the relationship between Pcr, E, I, and Leff.

Question 2

True or False: Eccentric loading can cause bending stresses in columns.

True
False

💡 Hint: Consider what happens when loads are applied off-center.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A concrete column of effective length 4m with Young's modulus of 25 GPa and a moment of inertia of 0.001 m⁴ was subjected to a load. Calculate the critical load it can withstand before buckling.

💡 Hint: Break down the formula into parts and solve step-by-step.

Challenge 2 Hard

Design a column to support an axial load of 15 kN, knowing it has a moment of inertia of 0.002 m⁴ and Young's modulus of 30 GPa. Determine the required effective length to prevent buckling.

💡 Hint: Ensure all units are consistent when calculating.

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