What is the relationship between the moment of inertia (I) and the deflection of

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Question: What is the relationship between the moment of inertia (I) and the deflection of a beam?

Options:

Correct Answer: Inversely proportional

Solution:

The deflection of a beam is inversely proportional to the moment of inertia (I); as I increases, deflection decreases.

What is the relationship between the moment of inertia (I) and the deflection of a beam?

What is the relationship between the moment of inertia (I) and the deflection of a beam?

Step 1: Understand what moment of inertia (I) means. It is a measure of how much a beam resists bending. A higher moment of inertia means the beam is stiffer.
Step 2: Know what deflection means. Deflection is how much a beam bends or moves under a load.
Step 3: Learn the relationship. When the moment of inertia (I) increases, the beam becomes stiffer and bends less, which means the deflection decreases.
Step 4: Remember the key idea: If I goes up, deflection goes down. This is called being inversely proportional.

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