A built-in-end cantilever support is replaced with what reaction force(s) when a free body diagram is being drawn. A.) A reaction forc

A built-in-end cantilever support is replaced with what reaction force(s) when a free body diagram is being drawn.
A.) A reaction force in the X axis
B.) A moment force
C.) All of these
D.) None of these
E.) A reaction force in the Y axis

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  1. Answer:

    Option B and E

    A moment force

    Reaction in the Y axis

    Explanation:

    A built-in-end cantilever support is one which has one end fixed into a wall. This makes it rigid and immovable in the x direction.

    Cantilevers are usually loaded in the y-direction, and this usually sets up the following:

    1. Rotation reactions: This is because the load is applied a distance away from the support, in a direction that is perpendicular to the length of the beam. This sets up a rotational force on the beam. and consequently, a rotational reaction at the support ( A moment force)

    2. Reaction forces in the Y axis: The mere fact that it is usually loaded in the y – axis, by Newton’s third law, there will always be reaction forces set up in the y- direction at the support.

    Note: No reactions in the x axis are set up here, because loading on built-in-end cantilever support is usually vertical.

    Hence, option B and E are correct.

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