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What is the effect of increasing the length of a simply supported beam on its de

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Question: What is the effect of increasing the length of a simply supported beam on its deflection under a uniform load?

Options:

  1. Increases deflection
  2. Decreases deflection
  3. No effect
  4. Depends on material

Correct Answer: Increases deflection

Solution: 

Increasing the length of a simply supported beam under a uniform load increases its deflection, as deflection is proportional to the cube of the length (L^3).

What is the effect of increasing the length of a simply supported beam on its de

Practice Questions

Q1
What is the effect of increasing the length of a simply supported beam on its deflection under a uniform load?
  1. Increases deflection
  2. Decreases deflection
  3. No effect
  4. Depends on material

Questions & Step-by-Step Solutions

What is the effect of increasing the length of a simply supported beam on its deflection under a uniform load?
  • Step 1: Understand what a simply supported beam is. It is a beam that is supported at both ends and can bend under a load.
  • Step 2: Know what deflection means. Deflection is how much the beam bends or moves downwards when a load is applied.
  • Step 3: Recognize that when a uniform load (equal weight distributed evenly) is applied to the beam, it causes the beam to bend.
  • Step 4: Learn that the deflection of the beam depends on its length. Specifically, the longer the beam, the more it will bend.
  • Step 5: Understand the relationship between length and deflection. The deflection increases with the cube of the length (L^3). This means if you double the length, the deflection increases by a factor of eight (2^3).
  • Step 6: Conclude that increasing the length of the beam will result in greater deflection under the same uniform load.
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