Module
7
Influence Lines
Version 2 CE IIT, Kharagpur

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Lesson
39
Influence Lines for
Beams
(Contd.)
Version 2 CE IIT, Kharagpur

Instructional Objectives:
The objectives of the present lesson are as follows.
•
Construction of influence line for maximum shear at sections in a beam
supporting two concentrated loads
•
Construction of influence line for maximum moment at sections in a beam
supporting two concentrated loads
•
Construction of influence line for maximum end shear in a beam supporting a
series of moving concentrated loads
•
Construction of influence line for maximum shear at a section in a beam
supporting a series of moving concentrated loads
•
Construction of influence line for maximum moment at a section in a beam
supporting a series of moving concentrated loads
•
Construction of influence line for absolute maximum moment in s beam
supporting a series of moving concentrated loads
•
Understanding about the envelopes of maximum influence line values
39.1 Introduction
In the previous lessons, we have studied about construction of influence line for
the either single concentrated load or uniformly distributed loads. In the present
lesson, we will study in depth about the beams, which are loaded with a series of
two or more then two concentrated loads.
39.2 Maximum shear at sections in a beam supporting two
concentrated loads
Let us assume that instead of one single point load, there are two point loads P
1
and P
2
spaced at y moving from left to right on the beam as shown in Figure
39.1. We are interested to find maximum shear force in the beam at given
section C. In the present case, we assume that P
2
<P
1
.
Figure 39.1: Beam loaded with two concentrated point loads
Version 2 CE IIT, Kharagpur

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