What is the moment of inertia (I) for a rectangular beam section with width (b) and height (h)?
Practice Questions
1 question
Q1
What is the moment of inertia (I) for a rectangular beam section with width (b) and height (h)?
(b * h^3) / 12
(b * h^2) / 12
(b * h^3) / 3
(b * h) / 12
The moment of inertia (I) for a rectangular beam section is given by I = (b * h^3) / 12, where b is the width and h is the height of the section.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the moment of inertia (I) for a rectangular beam section with width (b) and height (h)?
Solution: The moment of inertia (I) for a rectangular beam section is given by I = (b * h^3) / 12, where b is the width and h is the height of the section.
Steps: 6
Step 1: Understand that the moment of inertia (I) is a measure of how a beam resists bending.
Step 2: Identify the dimensions of the rectangular beam: width (b) and height (h).
Step 3: Recognize that the formula for the moment of inertia for a rectangular section is I = (b * h^3) / 12.
Step 4: In the formula, b is multiplied by the height (h) raised to the power of 3 (h^3).
Step 5: Divide the result by 12 to get the moment of inertia (I).
Step 6: Use the formula with your specific values of b and h to calculate I.
