**Applications of Influence Line Diagram **

**Applications of Influence Line Diagram**

*Response due to Point Load*

Response due to multiple point loads = equal to the algebraic sum of the product of load and the corresponding ordinate of ILD.

Please watch our following video lectures about moving load analysis

**Video Lecture on Analysis of Moving Loads**

This video lecture is about developing influence line diagram for shear force and bending moment to do analysis of structures in case of moving loads.

**Video Lecture on Maximum Shear Force at a section due to a series of moving loads **

This video lecture explains the trial and error procedure for determining the value of maximum shear force at a section due to a series of moving loads. It includes a solved example also.

**Video Lecture on Maximum Bending Moment at a given section due to a series of moving loads**

This video lecture is about determining maximum bending moment at a given section and the absolute maximum bending moment due to a series of moving loads on a simple beam

Similarly the reaction at B due to 5 kN load would be equal to (5) x (value of ordinate at 5 m from the ILD for

Reaction at support B due to both the loads = 10 x (2/7) + 5 x (5/7)

= 20/7 + 25/7 = 45/7 kN = 6.43 kN

*Response due to Uniform Load*

Response due to uniform load is equal to the intensity of load multiplied by the area of ILD under the load.

Consider a beam of span 5m shown in figure 2 and loaded with a 3 m long uniform load of intensity 7 kN/m as shown.

The value of reaction at B due to this uniform load =

(intensity of uniform load) x (area of ILD between C and D).

area of ILD between C and D = area of trapezium

=0.5(ordinate at C+ordinate at D) x (length of uniform load)

= 0.5 (2/7 + 5/7) (3) = 0.5 (7/7) (3) = 1.5

therefore, Reaction at B = (7) (1.5) = 10.5 kN

You can also use the following calculators for Moving Load Analysis

Calculator for Moving Load Analysis for Maximum B.M. at a section of simple beam

Calculator for Absolute Maximum B.M. due to moving loads for simple beam

Stress Transformation Calculator

Calculate Principal Stress, Maximum shear stress and the their planes

Calculator for Moving Load Analysis

To determine Absolute Max. B.M. due to moving loads.

Bending Moment Calculator

Calculate bending moment & shear force for simply supported beam

Moment of Inertia Calculator

Calculate moment of inertia of plane sections e.g. channel, angle, tee etc.

Reinforced Concrete Calculator

Calculate the strength of Reinforced concrete beam

Moment Distribution Calculator

Solving indeterminate beams

Deflection & Slope Calculator

Calculate deflection and slope of simply supported beam for many load cases

Fixed Beam Calculator

Calculation tool for beanding moment and shear force for Fixed Beam for many load cases

BM & SF Calculator for Cantilever

Calculate SF & BM for Cantilever

Deflection & Slope Calculator for Cantilever

For many load cases of Cantilever

Overhanging beam calculator

For SF & BM of many load cases of overhanging beam

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