Practice Second Moment of Area (Moment of Inertia) - 7 | Mechanics of Beams | Mechanics of Deformable Solids
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Second Moment of Area (Moment of Inertia)

7 - Second Moment of Area (Moment of Inertia)

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the formula for the moment of inertia of a rectangle?

💡 Hint: Think about the base and height of the rectangle.

Question 2 Easy

Calculate the moment of inertia for a rectangular beam with dimensions 4 in (base) and 6 in (height).

💡 Hint: Use the standard formula.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the Moment of Inertia for a circle with a diameter of 4 in?

(π/32) * 4^4
(π/64) * 4^4
(π/2) * 4^4

💡 Hint: Recall the standard formula for circles.

Question 2

True or False: A larger Moment of Inertia indicates a beam is less resistant to bending.

True
False

💡 Hint: Think about what I represents.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A beam has a rectangular cross-section of 10 cm wide and 20 cm high. Calculate its Moment of Inertia about the neutral axis.

💡 Hint: Use the rectangle moment of inertia formula.

Challenge 2 Hard

Determine the Moment of Inertia for a composite I-section beam where the flange is 5 cm wide and 2 cm thick and the web is 8 cm high and 1 cm thick. Calculate separately, then sum.

💡 Hint: Break down into flange and web, apply the rectangle formula.

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