7.1 - Common shapes
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the formula for the moment of inertia of a rectangle?
💡 Hint: Remember the standard formula used for rectangles.
How does height affect the moment of inertia of a rectangular beam?
💡 Hint: Think about how the formula changes as the height increases.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the moment of inertia of a rectangle with a width of 100 mm and a height of 200 mm?
💡 Hint: You need to use the rectangle's formula.
True or False: Hollow sections can support the same loads as solid sections while using less material.
💡 Hint: Think about strength-to-weight ratios.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
💡 Hint: Use the respective formulas for both shapes.
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.
💡 Hint: Perform the step-by-step calculations for clarity.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.