Single Concentrated Load

Influence Lines

Influence line is the graphical representation of the response function of the structure as the downward unit load moves across the structure. The ordinate of the influence line show the magnitude and character of the function.
 

The most common response functions of our interest are support reaction, shear at a section, bending moment at a section, and force in truss member.
 

With the aid of influence diagram, we can...

  1. determine the position of the load to cause maximum response in the function.
  2. calculate the maximum value of the function.

 

Value of the function for any type of load
 

if-beam-any-type-of-load.gif

 

$\displaystyle \text{Function} = \int_{x_1}^{x_2} y_i (y \, dx)$
 

 
 
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