For a beam with a moment of inertia I, what is the relationship between deflecti

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Question: For a beam with a moment of inertia I, what is the relationship between deflection and load?

Options:

Correct Answer: Inversely proportional

Solution:

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

For a beam with a moment of inertia I, what is the relationship between deflection and load?

For a beam with a moment of inertia I, what is the relationship between deflection and load?

Step 1: Understand what deflection means. Deflection is how much a beam bends when a load is applied to it.
Step 2: Know what moment of inertia (I) is. It is a measure of how resistant a beam is to bending.
Step 3: Recognize the relationship between deflection and moment of inertia. If the moment of inertia (I) is larger, the beam is stiffer.
Step 4: Realize that if the beam is stiffer (larger I), it will bend less under the same load. This means deflection decreases.
Step 5: Conclude that deflection is inversely proportional to moment of inertia. As I increases, deflection decreases.

Deflection and Moment of Inertia – The relationship between the deflection of a beam and its moment of inertia, where increased moment of inertia results in decreased deflection.