Solved: The pressure loading on the plate varies uniformly

Chapter 9, Problem 9-115

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QUESTION:

The pressure loading on the plate varies uniformly along each of its edges. Determine the magnitude of the resultant force and the coordinates \((\bar{x}, \bar{y})\) of the point where the line of action of the force intersects the plate. Hint: The equation defining the boundary of the load has the form p = ax + by + c, where the constants a, b, and c have to be determined.

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QUESTION:

The pressure loading on the plate varies uniformly along each of its edges. Determine the magnitude of the resultant force and the coordinates \((\bar{x}, \bar{y})\) of the point where the line of action of the force intersects the plate. Hint: The equation defining the boundary of the load has the form p = ax + by + c, where the constants a, b, and c have to be determined.

ANSWER:

Step 1 of 7

Find the magnitude of the force acting on the plate and find the point where line of action intersects the plate. Pressure distribution is shown in the picture below.

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