Practice Governing Equation of the Elastic Curve - 2 | Deflection of Beams | Mechanics of Deformable Solids
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Governing Equation of the Elastic Curve

2 - Governing Equation of the Elastic Curve

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the variable 'E' represent in the governing equation of the elastic curve?

💡 Hint: Think about how materials respond to stress.

Question 2 Easy

Write down the governing equation of the elastic curve.

💡 Hint: It's composed of deflection, bending moment, E, and I.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the governing equation of a beam's deflection?

\\( \\frac{d^2y}{dx^2} = \\frac{M(x)}{EI} \\)
y = mx + b
F = ma

💡 Hint: Look for the equation that includes the second derivative.

Question 2

True or False: Young's modulus is a measure of a material's stiffness.

True
False

💡 Hint: Think about how stiff materials behave under load.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A simply supported beam of length 8 m carries a central point load of 2000 N. Calculate the maximum deflection using the governing equation.

💡 Hint: Ensure you have the correct units when calculating.

Challenge 2 Hard

A cantilever beam of length 5 m is subjected to a uniformly distributed load of 500 N/m. Find the deflection at the free end.

💡 Hint: Use the UDL formula and identify the constants correctly from the description.

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