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In structural analysis one of the first steps is to calculate

of supports. This

is usually done by considering the

of the structure. For a $3$D structure there

are

simultaneous equations to consider. However, for a $2$D structure like

the beam shown, the number of equations is reduced to three. These could be:

the algebraic sum of all the

about any point of the beam $=0$;

the algebraic sum of the $v$

components of all the forces on the beam $=0$;

the algebraic sum of the $h$

components of all the forces on the beam $=0.$

Alternatively, the following three equations could be used:

two equations of all the $m$

$0$ ;

the algebraic sum of the

about any two different points of the beam $=$

components of all the forces on the beam $=0.$