Question: The loading acting on a square plate is represented by a parabolic pressure distribution. Determine the magnitude of the resultant force and the coordinates (xc,

The loading acting on a square plate is represented by a parabolic pressure distribution. Determine the magnitude of the resultant force and the coordinates (xc, yc) of the point where the line of action of the force intersects the plate. Also, what are the reactions at the rollers B and C and the ball-and-socket joint A? Neglect the weight of the plate.

Units Used:

kPa = 10³ Pa

kN = 10³ N

Given:

a = 4 m

p0 = 4 kPa

Po p=Po B

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