If a beam is supported at both ends and a load is applied at the center, what is

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Question: If a beam is supported at both ends and a load is applied at the center, what is the reaction force at each support?

Options:

Correct Answer: Half the load

Solution:

In this case, the reaction force at each support is half the load applied at the center.

If a beam is supported at both ends and a load is applied at the center, what is the reaction force at each support?

If a beam is supported at both ends and a load is applied at the center, what is the reaction force at each support?

Step 1: Understand that the beam is supported at both ends, which means there are two supports.
Step 2: Identify that a load is applied at the center of the beam.
Step 3: Realize that the load will cause the beam to bend, and the supports will need to push back to keep the beam in balance.
Step 4: Since the load is in the center, it is evenly distributed between the two supports.
Step 5: Calculate the reaction force at each support by dividing the total load by 2.
Step 6: Conclude that the reaction force at each support is equal to half of the load applied at the center.

Static Equilibrium – The beam is in static equilibrium, meaning the sum of forces and moments acting on it is zero.
Load Distribution – When a load is applied at the center of a simply supported beam, it is evenly distributed to the supports.
Reaction Forces – The reaction forces at the supports are equal and opposite to maintain equilibrium.