Variable Description
ºEccentricity (offset) of load
σcr | Critical stress |
σmax | Maximum stress |
θSlope at x
A
aDistance to point load
cDistance to edge fiber (Eccentric Columns), or Distance to applied moment (beams)
EModulus of elasticity
IMoment of inertia
KEffective length factor of column
LLength of column or bean
MApplied moment
Mx | Internal bending moment at x |
PLoad (Eccentric Columns), or Point load (beams)
Pcr | Critical load |
rRadius of gyration
VShear force at x
wDistributed load
xDistance along beam
yDeflection at x
For simply supported beams and cantilever beams (“Simple Deflection” through “Cantilever Shear”), the calculations differ depending upon the location of x relative to the loads.
Applied loads are positive downward.
The applied moment is positive counterclockwise.
Deflection is positive upward.
Slope is positive counterclockwise
Internal bending moment is positive counterclockwise on the
Shear force is positive downward on the
Reference: 2.
Equation Reference