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?
  1. Increases deflection
  2. Decreases deflection
  3. No effect
  4. Depends on load type

Questions & Step-by-Step Solutions

What is the effect of increasing the length of a simply supported beam on its deflection?
  • Step 1: Understand what a simply supported beam is. It is a beam that is supported at both ends and can freely bend in the middle.
  • Step 2: Know that deflection is how much the beam bends or sags when a load is applied to it.
  • Step 3: Recognize that the length of the beam affects how much it will bend. Longer beams tend to bend more than shorter beams.
  • Step 4: Learn that the relationship between the length of the beam and its deflection is not linear. Instead, deflection increases with the length of the beam raised to the third power (length cubed).
  • Step 5: Conclude that if you increase the length of the beam while keeping the load the same, the deflection will increase significantly.
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