Influence Line Diagrams-I Theory of Structures - I

Contents Introduction Influence lines for Beams Reactions Shear Moments

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

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.

Influence lines for Beams 6 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

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

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

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

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