ME 221 Statics
Lecture #16
Section 4.6
ME 221
Lecture 16
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Homework #6
• Chapter 4 problems:
– 2, 4, 10, 11, 18, 24, 39, 42, 43 & 47
– Must use integration methods to solve
– Due Wednesday, October 8
ME 221
Lecture 16
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Quiz #4
• Today
Exam #2
• Friday, October 10
• Last day to drop without a grade reported is:
Tuesday, October 14
ME 221
Lecture 16
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Last Lecture
• Centroids of composite sections
QUESTIONS ?????
Today
• Section 4.6 - Distributed Loads
ME 221
Lecture 16
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Distributed Loads
• Distributed loads on beams
– Application of equivalent load
• Example
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Beams
Beams can be loaded by a point load or a
distributed load
P
x
w(x)
Replace the distributed load
with an equivalent
concentrated force.
dx
L
The equivalent force is
the sum of all the forces.
ME 221
W
Lecture 16
L
0
w  x  dx
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Equivalent Load Location
The equivalent load is placed at the centroid of
the distributed load.
w(x)
1
xc 
W

L
0
x w  x  dx
W
To find reaction loads:
replace distributed load
with equivalent load at
centroid
ME 221
xc
L
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Example
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Quiz #4
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