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STATICS - THEORY

    Parallel Distributed Forces


Load Distributed over a Line

 


Load Distributed over a Area

 

Previously, it was determined that the resultant force FR for a distributed load over a line is,

     

It was also shown that the location of the line of action of FR is given by

     

Similarly, if the load is distributed over an area as shown, then the resultant is found by

     

The line of action of FR passes through the point defined by

     

     
    Forces on a Submerged Surface


Pressure on a Submerged Surface

 

When a body is submerged in a fluid, either a liquid or a gas, then the fluid exerts a pressure normal or perpendicular to the surface. This pressure, called hydrostatic pressure, depends on the depth and density of the fluid, the acceleration of gravity, and the pressure at the surface of the liquid. The pressure at any point is

     p = po + ρgd

Here po is the pressure at the surface of the liquid, ρ is the density of the fluid, g is the acceleration of gravity, and d is the depth at that point.

Generally, devices that measure pressure actually measure the amount above some reference pressure; this is called gage pressure. If the reference pressure is the pressure at the surface of the liquid, then the gage pressure at a point is simply

     p = ρgd

     
   
 
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