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static equilibrium - Coggle Diagram
static equilibrium
conditions of equilibruim in 2D
all horizontal force in balance $$\sum F_x=0
$$
all vertical force in balance $$\sum F_y=0
$$
in plane moments $$\sum M=0
$$
all out of plane forces as $$\sum F_x=0
$$
beams
simple supprted beam
cantilever
one end on the beam is fixed and one unsupported
force act
vertically x-y plane
vertical direction $$\sum F_y=0$$
$$R_y=P+mg$$
no horizontal forces $$R_x=0$$ no horzontal loads$$\sum M=0$$
$$M=PL+mg\frac{L}{2}$$
amount the structure deflects - stiffness
curvature of beam
newtons first law of motion
an object remains at rest or in uniform motion in a straight line unless acted on by a resultant of net force
applied forces
on structure affect the distribution of force within the structure
force acting on mass(W)
W=mg=m x 9.81
3D conditions for equilibrium
also need the following
all out of plane force $$\sum F_x=0
$$
alll out of plane moments as $$\sum M_x=0 $$ and $$\sum M_y=0$$
