Practice Common shapes - 7.1 | Mechanics of Beams | Mechanics of Deformable Solids
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

πŸ’‘ Hint: Remember the standard formula used for rectangles.

Question 2

Easy

How does height affect the moment of inertia of a rectangular beam?

πŸ’‘ Hint: Think about how the formula changes as the height increases.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the moment of inertia of a rectangle with a width of 100 mm and a height of 200 mm?

πŸ’‘ Hint: You need to use the rectangle's formula.

Question 2

True or False: Hollow sections can support the same loads as solid sections while using less material.

  • True
  • False

πŸ’‘ Hint: Think about strength-to-weight ratios.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A rectangular beam has a breadth of 150 mm and height of 600 mm. Calculate its moment of inertia and compare it to a circular beam with a diameter of 150 mm.

πŸ’‘ Hint: Use the respective formulas for both shapes.

Question 2

Design a hollow beam structure and calculate its moment of inertia using hypothetical dimensions of outer 400 mm width/height and inner wall thickness of 50 mm.

πŸ’‘ Hint: Perform the step-by-step calculations for clarity.

Challenge and get performance evaluation