The following three questions are related to the figure below. Assume that the x

Question

The following three questions are related to the figure below. Assume that the x-y coordinate system is such where x-axis is horizontal with positive direction from left to right, y-axis is vertical with positive direction from left to right, y-axis is vertical with positive direction from bottom to top, and for positive direction for moment assume counterclockwise direction. What is the horizontal reaction force (N) in support A? What is the vertical reaction force (N) in support A? What is the reaction moment (N -m) n support A?

Explanation / Answer

Load on cantilever beam = Stiffness x lenght = 2 x 5 = 10N

Horizontal reaction force on support A = F1 x sin (180 - 45°) = 4 x 0.707 = 2.83 N(Negative force since load is acting from right to left).

Vertical reaction force on support A = F1 x sin (45°) +(-10) = 4 x 0.707 - 10 = 7.17 N(Negative force since load is acting from top to bottom).

Reaction on support A = F1 x sin (45°) x 5 +(-10 x 5) = 4 x 0.707 x5 +(-10 x5) = 35.86 Nm(Negative moment.

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