For a simply supported beam with a point load at one end, what is the reaction f

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Question: For a simply supported beam with a point load at one end, what is the reaction force at the support opposite to the load?

Options:

Correct Answer: W

Solution:

The reaction force at the support opposite to the point load (W) is equal to the load itself, as the beam is in static equilibrium.

For a simply supported beam with a point load at one end, what is the reaction force at the support opposite to the load?

For a simply supported beam with a point load at one end, what is the reaction force at the support opposite to the load?

Step 1: Understand that a simply supported beam has two supports: one at each end.
Step 2: Identify the point load (W) applied at one end of the beam.
Step 3: Recognize that the beam is in static equilibrium, meaning it is not moving.
Step 4: Apply the principle of equilibrium, which states that the sum of forces acting on the beam must equal zero.
Step 5: Since there is a downward force (the point load W) at one end, there must be an equal upward force at the opposite support to balance it.
Step 6: Conclude that the reaction force at the support opposite to the point load is equal to the load itself (W).

Static Equilibrium – In static equilibrium, the sum of forces and moments acting on a structure must be zero.
Reaction Forces – Reaction forces at supports counteract applied loads to maintain equilibrium.
Simply Supported Beam – A beam supported at its ends, allowing rotation but not translation at the supports.