Solution Found!
Answer: The rectangular plate is subjected to a
Chapter 9, Problem 9-118(choose chapter or problem)
The rectangular plate is subjected to a distributed load over its entire surface. The load is defined by the expression \(p=p_{0} \sin (\pi x / a) \sin (\pi y / b) \text {, where } p_{0}\) represents the pressure acting at the center of the plate. Determine the magnitude and location of the resultant force acting on the plate
Questions & Answers
QUESTION:
The rectangular plate is subjected to a distributed load over its entire surface. The load is defined by the expression \(p=p_{0} \sin (\pi x / a) \sin (\pi y / b) \text {, where } p_{0}\) represents the pressure acting at the center of the plate. Determine the magnitude and location of the resultant force acting on the plate
ANSWER:
Step 1 of 6
Find the magnitude of the force and the the point where the line of action passes through the plate if the pressure distribution is 
Since we are given the pressure distribution we only have to integrate it over the area of the plate.
The differential segment of area is:
While the centroid of that are is:
