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What is the effect of increasing the moment of inertia (I) on the deflection of

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Question: What is the effect of increasing the moment of inertia (I) on the deflection of a beam?

Options:

  1. Increases deflection
  2. Decreases deflection
  3. No effect
  4. Doubles deflection

Correct Answer: Decreases deflection

Solution:

Increasing the moment of inertia (I) of a beam decreases its deflection, as deflection is inversely proportional to I.

What is the effect of increasing the moment of inertia (I) on the deflection of

Practice Questions

Q1
What is the effect of increasing the moment of inertia (I) on the deflection of a beam?
  1. Increases deflection
  2. Decreases deflection
  3. No effect
  4. Doubles deflection

Questions & Step-by-Step Solutions

What is the effect of increasing the moment of inertia (I) on the deflection of a beam?
  • Step 1: Understand what a beam is. A beam is a long, sturdy piece of material that can support loads.
  • Step 2: Learn about deflection. Deflection is how much a beam bends when a load is applied to it.
  • Step 3: Know what moment of inertia (I) means. Moment of inertia is a measure of how much a beam resists bending. It depends on the shape and size of the beam.
  • Step 4: Remember the relationship between moment of inertia and deflection. When the moment of inertia (I) increases, the beam becomes stiffer.
  • Step 5: Conclude that if the moment of inertia (I) increases, the deflection of the beam decreases. This means the beam will bend less under the same load.
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