What is the relationship between the stiffness of a beam and its deflection?

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Question: What is the relationship between the stiffness of a beam and its deflection?

Options:

Correct Answer: Inversely proportional

Solution:

The stiffness of a beam is inversely proportional to its deflection; as stiffness increases, deflection decreases.

What is the relationship between the stiffness of a beam and its deflection?

What is the relationship between the stiffness of a beam and its deflection?

Step 1: Understand what stiffness means. Stiffness is how much a beam resists bending when a force is applied to it.
Step 2: Understand what deflection means. Deflection is how much a beam bends or moves from its original position when a force is applied.
Step 3: Learn the relationship. If a beam is very stiff, it will not bend much (low deflection) when a force is applied.
Step 4: Realize the inverse relationship. If a beam is less stiff, it will bend more (high deflection) under the same force.
Step 5: Conclude that as stiffness increases, deflection decreases. This means they are inversely related.

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