Sage-Tips

What is the uses of influence line?

The most important use of influence line is finding out the location of a load for which certain response will have a maximum value. For example, we may need to find the location of a moving load (say a gantry) on a beam (say a gantry girder) for which we get the maximum bending moment at a certain point.

What value of load is assumed in influence line diagram?

For drawing ILD, what value of test load is assumed? Explanation: 1 unit load is assumed as calculations are easy then. Actual loads are multiplies with the results obtained to calculate further.

What do you understand by influence line diagram?

Definition- An influence line for a member is a graph representing the variation of internal force( reaction, shear, moment, or deflection) in a fixed section of the member, due to a unit load traversing a structure.

What are the applications of Muller-Breslau principle?

∴ The Muller-Breslau principle can be used to determine the shape of the influence line, indicate the parts of the structure to be loaded to obtain the maximum effect and calculate the ordinates of the influence lines.

What is the shape of influence line diagram for the maximum bending moment in respect of simply supported beam?

triangular
Hence, the shape of influence line diagram for maximum bending moment in a simply supported beam is triangular in shape.

Who introduced the influence study?

Herbert Kelman
This study was guided by the theoretical framework governing the social influence theory by Herbert Kelman and further developed by other scholars who proposed that an individual’s attitudes, beliefs and subsequent actions or behaviors were influenced by referent others [13] .

What is an influence line diagram?

It’s a diagram which shows the reactions, Shear force and Bending moment at each and every section or instant at any distance of any span that you want to find out. In short, Influence Line Diagram shows the influence or effect of loads or reaction on the span.

What are the three main applications of influence lines?

In this section, we will look at three main applications for influence lines. The first is the use of an influence line to determine the influence of a single point load. The second is the use of an influence line to determine the effect of a distributed load or patterned distributed load.

What is the difference between inflection line and influence line?

The slope of the inflection line can change at supports, mid-spans, and joints. An influence line for a given function, such as a reaction, axial force, shear force, or bending moment, is a graph that shows the variation of that function at any given point on a structure due to the application of a unit load at any point on the structure.

How do you determine the influence of a load?

The first is the use of an influence line to determine the influence of a single point load. The second is the use of an influence line to determine the effect of a distributed load or patterned distributed load. The last is the use of an influence line to determine the effect of a moving pattern of loads.