1. Influence Line Diagrams-I
Theory of Structures - I

2. Contents Introduction Influence lines for Beams Reactions Shear
Moments

3. Introduction
In normal shear force and bending moment diagrams, load remains static and cross-section of beam changes for various values.

4. In influence line diagrams for various functions (i. e
In influence line diagrams for various functions (i.e. shear, bending moment, reactions), x-section remains static and load moves.

5. Influence lines for Beams6 12
Unit load at x = 0
Unit load at x = 3
Unit load at x = 6
Unit load at x = 9
Unit load at x = 12 1 1 1 1 1
RA=1
RB=0
RA=0.75
RB=0.25
RA=0.5
RB=0.5
RA=0.25
RB=0.75
RA=0
RB=1
0.75
0. 5
0.25 + + + - -
0.25
0. 5 -
0.75
3.0
2.25
2.25
1.5
1.5

6. x
RA=
1-x/12
RB=
x/12
V6L=
-x/12
V6R=
M6L=
x/2
M6R=
6-x/2
1.0
0.0 3
0.75
0.25
-0.25
1.5 6
0.50
-0.50
3.0
+0.50 9 12

7. 1.0
0.5
ILD for RA
0.5
ILD for Shear at 6 from A
1.0
3.0
ILD for Moment at 6 from A
ILD for RB

8. Practice Problems Example 6-1 to 6-8 Chapter 6
Structural Analysis by R C Hibbeler

9. Thank You