What is the effect of increasing the length of a beam on its deflection under a

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

Options:

Correct Answer: Increases deflection

Solution:

Increasing the length of a beam under a given load will increase its deflection, as deflection is proportional to the cube of the length (L^3).

What is the effect of increasing the length of a beam on its deflection under a given load?

What is the effect of increasing the length of a beam on its deflection under a given load?

Step 1: Understand what a beam is. A beam is a long, horizontal structure that supports weight.
Step 2: Know what deflection means. Deflection is how much the beam bends or moves downwards when a load (weight) is applied.
Step 3: Recognize that when you increase the length of the beam, it becomes longer and can bend more easily.
Step 4: Learn that the deflection of a beam is related to its length. Specifically, if you make the beam longer, the deflection increases.
Step 5: Remember the relationship: deflection increases with the cube of the length. This means if you double the length, the deflection increases by eight times (2^3 = 8).
Step 6: Conclude that a longer beam will bend more under the same load compared to a shorter beam.

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