What is the relationship between the load applied to a beam and its deflection in the elastic range?

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Q: What is the relationship between the load applied to a beam and its deflection in the elastic range?

Solution: In the elastic range, the deflection of a beam is directly proportional to the load applied, according to Hooke's Law.

Steps: 6

Step 1: Understand what a beam is. A beam is a long, sturdy piece of material that can support loads.
Step 2: Know what deflection means. Deflection is how much the beam bends or moves when a load is applied to it.
Step 3: Learn about the elastic range. The elastic range is the part where the beam will return to its original shape after the load is removed.
Step 4: Familiarize yourself with Hooke's Law. Hooke's Law states that the force (or load) applied to an object is directly proportional to the amount it stretches or bends, as long as it is within the elastic range.
Step 5: Apply Hooke's Law to beams. In the elastic range, if you increase the load on the beam, the deflection will also increase in a predictable way.
Step 6: Conclude that in the elastic range, more load means more deflection, and this relationship is linear.