Moment area method

1. Subject Name: Theory of Structures
Topic Name:Moment Area Method
Lecture No: 7
Dr.Omprakash Netula
Professor & HOD
Department of Civil Engineering
7/24/2017 Lecture Number, Unit Number 1

2. Moment-Area Theorems
dx
EI
M
xdx
EI
M
xt B
A
B
ABA/ 
dx
EI
M
xdx
EI
M
xt A
B
A
BAB '/ 
'x

3. Moment-Area Theorems
+
dx
EI
MB
A
AB/ 
1st moment-area theorem 2nd moment-area theorem
dx
EI
M
xt B
ABA/ 

4. Example 1
Determine the slope at points B & C of the beam. Take E = 200GPa, I = 360(106)mm4
ACCABB // ; 
rad
EI
kNm
m
EI
kNm
EI
kNm
m
EI
kNm
ABB
00521.0
375
)5(
50100
2
1
)5(
50
2
/















dx
EI
MB
A
AB/ 
radACC 00694.0/ 