The resultant force of the pressure and the coordinates of its point of application.
Answer to Problem 8.129RP
The resultant force is
Explanation of Solution
Given Information:
The pressure acting on the rectangular plate varies as,
Calculation:
Consider the following figure:
The pressure varies as
Assume a small area element of area dxdy at coordinate (x,y). The resultant force on this small area is given by
Integrate above to get total force as
So the resultant force is
Coordinates (x,y) is the location of line of action of small force dF. The moments about origin due to this small force are
The x-coordinate of location of line of action of total resultant force is given by
The y-coordinate of location of line of action of total resultant force is given by
Conclusion:
Therefore, the resultant force is
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Chapter 8 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
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