1. Influence Line Diagrams-I
Theory of Structures - I
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2. Contents Introduction Influence lines for Beams Reactions Shear
Moments
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3. Introduction
In normal shear force and bending moment diagrams, load remains static and cross-section of beam changes for various values.
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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.
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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
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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
1.0
0.0 3
0.75
0.25
-0.25
1.5 6
0.50
-0.50
3.0
+0.50 9 12
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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
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8. Practice Problems Example 6-1 to 6-8 Chapter 6
Structural Analysis by R C Hibbeler
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9. Thank You
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