Columns And Beams (1) - HP 48gII Advanced User's Reference Manual

Columns and Beams (1)

Variable Description
º
Eccentricity (offset) of load
cr
Critical stress
max
Maximum stress
Slope at x
A
Cross-sectional area
a
Distance to point load
Distance to edge fiber (Eccentric Columns), or
c
Distance to applied moment (beams)
E
Modulus of elasticity
I
Moment of inertia
K
Effective length factor of column
L
Length of column or bean
M
Applied moment
Mx
Internal bending moment at x
P
Load (Eccentric Columns), or Point load (beams)
Pcr
Critical load
r
Radius of gyration
V
Shear force at x
w
Distributed load
x
Distance along beam
y
Deflection 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 left-hand part.
!
Shear force is positive downward on the left-hand part.
!
Reference: 2.
Equation Reference 5-3