EAS 209-Fall 2010
Instructors: Christine Human
11/1/2010
1
Lecture 30-Combined Loading
Lecture 30
Combined Loading
To date we have calculated the stresses due to:
LOAD
STRESS EQUATION CH FIGURE
Centric
axial load
Normal
A
P
x
1,2
Torque
Shear
J
T
xy
3
Bending
Normal
I
My
x
4
Transverse
Load
Shear
It
VQ
xy
5,6
Internal
Pressure
Normal
t
pr
2
1
2
7
Many structures are subjected to a combination of
loads.
We can determine the state of stress at a point
by finding the stresses due to each load, then apply
the principle of superposition to obtain the total
stresses.
Today’s Homework:
M
V
EAS 209-Fall 2010
Instructors: Christine Human
11/1/2010
2
Lecture 30-Combined Loading
We will examine a slender structural member
subjected to arbitrary loadings and find the
maximum stresses at points H and K.
The general approach is
to pass a section through
points of interest and
determine the force-
couple system at the
centroid of section
required to maintain
equilibrium.
In 3-D, system of
internal forces consist
of three force
components and three
couple vectors.
Which forces cause
normal stresses?
Which cause shearing
stresses?

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