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STATICS

By possessing an understanding of Newton's Laws, following these three laws of graphical
solutions, and
understanding vector algebra you can solve most engineering static problems. 
Systems of Force
Systems of force acting on objects in equilibrium can be classified as either concurrent
or nonconcurrent
and as either coplanar or noncoplanar. This gives us four general categories of systems.

The first category, concurrent-coplanar forces occur when the lines of action of all
forces lie in the same
plane and pass through a common point. Figure 1 illustrates a concurrent-coplanar force
in such that F1, F2,
and W all lie in the same plane (the paper) and all their lines of action have point O in
common. To
determine the resultant of concurrent force systems, you can use the Pythagorean theorem,
the law of sines,
or the law of cosines as outlined in the previous chapter.
Nonconcurrent-coplanar force is when the lines of action of all forces lie in the same
plane but do not
pass through a common point as illustrated in figure 2. The magnitude and direction of
the resultant force
can be determined by the rectangular component method using the first two equations in
figure 2, and the
perpendicular distance of the line of action of R from the axis of rotation of the body
can be found using the
third equation in figure 2. 
Concurrent-noncoplanar forces are when Application the lines of action of all forces pass
through a
common point and are not in the same plane. To find the resultant of these forces it is
best to resolve each
force into components along three axes that make angles of 90 degrees with each other. 
Nonconcurrent-noncoplanar forces are when the lines of action of all forces do not pass
through a
common point and the forces do not all lie in the same plane. 
Stress
When a restrained body is subject to external forces, there is a tendency for the shape
of the body 

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