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In a beam subjected to a moment, what is the effect of increasing the moment of
In a beam subjected to a moment, what is the effect of increasing the moment of inertia (I) on the deflection?
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Q1
In a beam subjected to a moment, what is the effect of increasing the moment of inertia (I) on the deflection?
Increases deflection
Decreases deflection
No effect
Increases stiffness
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Increasing the moment of inertia (I) of a beam decreases the deflection under a given load, thus increasing its stiffness.
Questions & Step-by-step Solutions
1 item
Q
Q: In a beam subjected to a moment, what is the effect of increasing the moment of inertia (I) on the deflection?
Solution:
Increasing the moment of inertia (I) of a beam decreases the deflection under a given load, thus increasing its stiffness.
Steps: 6
Show Steps
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.
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