What is the relationship between the moment of inertia and the deflection of a b

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

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

Step 1: Understand what moment of inertia (I) is. It is a measure of how mass is distributed in a beam and how resistant it is to bending.
Step 2: Know what deflection is. Deflection is how much a beam bends or moves under a load.
Step 3: Learn the relationship: As the moment of inertia (I) increases, the beam becomes stiffer.
Step 4: Realize that a stiffer beam will bend less under the same load, meaning less deflection.
Step 5: Conclude that deflection is inversely proportional to the moment of inertia: if I goes up, deflection goes down.

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