ME 221 Statics
Lecture #17
Section 4.6
ME 221
Lecture 17
1
Homework #6
• Chapter 4 problems:
– 10, 11, 18, 24, 39, 42, 43 & 47
– Must use integration methods to solve
– Due Monday, October 14
ME 221
Lecture 17
2
Homework #7
• Chapter 4 problems:
– 52, 53 & 54
– Due Friday, October 18
ME 221
Lecture 17
3
Quiz #4
• Today
Exam #2
• Friday, October 18
• Last day to drop without a grade reported is:
Tuesday, October 15
ME 221
Lecture 17
4
No Class
• Friday, October 11
• Use this time to work on homework
ME 221
Lecture 17
5
Last Lecture
• Centroids of composite sections
QUESTIONS ?????
Today
• Section 4.6 - Distributed Loads
ME 221
Lecture 17
6
Distributed Loads
• Distributed loads on beams
– Application of equivalent load
• Example
ME 221
Lecture 17
7
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 17
L
0
w  x  dx
8
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
Lecture 17
9
Example
ME 221
Lecture 17
10
Quiz #4
ME 221
Lecture 17
11