HP 48GII

Equation Reference 5-3
Columns and Beams (1)
Variable
Description
º
Eccentricit
y
(
offset
)
of load
σcr
Critical stress
σmax
Maximum stress
θ
Slo
p
e at x
A
Cross-sectional area
a
Distance to
p
oint load
c
Distance to edge fiber (Eccentric Columns), or
Distance to applied moment (beams)
E
Modulus of elasticit
y
I
Moment of inertia
K
Effective len
g
th factor of column
L
Len
g
th of column or bean
M
A
pp
lied momen
t
Mx
Internal bendin
g
moment at x
P
Load
(
Eccentric Columns
),
or Point load
(
beams
)
Pcr
Critical load
r
Radius of
gy
ration
V
Shear force at x
w
Distributed load
x
Distance alon
g
bea
m
y
Deflection a
t
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.