In a beam subjected to a moment, what is the effect of increasing the moment of

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Question: In a beam subjected to a moment, what is the effect of increasing the moment of inertia (I) on the deflection?

Options:

Correct Answer: Decreases deflection

Solution:

Increasing the moment of inertia (I) of a beam decreases the deflection under a given load, thus increasing its stiffness.

In a beam subjected to a moment, what is the effect of increasing the moment of inertia (I) on the deflection?

In a beam subjected to a moment, what is the effect of increasing the moment of inertia (I) on the deflection?

Step 1: Understand what a beam is. A beam is a structural element that supports loads.
Step 2: Know what a moment is. A moment is a force that causes the beam to bend.
Step 3: Learn about moment of inertia (I). It is a property of the beam that measures how resistant it is to bending.
Step 4: Recognize that deflection is how much the beam bends under a load.
Step 5: Realize that if you increase the moment of inertia (I), the beam becomes stiffer.
Step 6: Understand that a stiffer beam will bend less under the same load, meaning the deflection decreases.

Moment of Inertia – The moment of inertia (I) is a measure of an object's resistance to bending or flexural deformation. In beams, a higher moment of inertia results in lower deflection under applied loads.
Deflection – Deflection refers to the displacement of a beam under load. It is an important factor in structural design, as excessive deflection can lead to structural failure or serviceability issues.
Stiffness – Stiffness is the ability of a beam to resist deformation. Increasing the moment of inertia enhances the beam's stiffness, leading to reduced deflection.