**Problem 8.13**Draw the influence lines for the vertical reactions at supports \( A \) and \( E \) and the react moment at support \( E \) of the beam shown.---**Diagram Explanation:**The diagram illustrates a beam supported at two points, \( A \) and \( E \), with a hinge located at point \( C \). The beam is divided into four sections, each measuring 4 meters in length. The segments are marked as follows: - \( A \) to \( B \) is 4 meters- \( B \) to \( C \) is 4 meters- \( C \) to \( D \) is 4 meters- \( D \) to \( E \) is 4 metersThe objective is to construct the influence lines for the vertical reactions occurring at \( A \) and \( E \), along with the reactive moment at support \( E \). The influence lines represent how the forces change as a moving load traverses the beam.**Figure Reference:** FIG. P8.13, P8.14, P8.15

Given data in question Determinate beam Span member length To find out ILD for reactions at A and E ILD for moment at E Note We will use Muller Breslau principle to draw ILDs.

Answered: roblem 8.13 raw the influence lines for…

Engineering

Civil Engineering

roblem 8.13 raw the influence lines for the vertical reactions at supports A and E and the react oment at support E of the beam shown. Hinge B D E 4 m- 4 m 4 m 4 m- G. P8.13, P8.14, P8.15

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Influence Lines

The graphs that show the variation of a function at a specific point on a beam or truss due to a unit load placed at any point along the structure are known as influence lines in engineering. Some common functions that are studied with influence lines are shear, moment, and deflection. In designing beams and trusses, it is important to use influence lines in structures where loads would move along their span such as bridges, crane rails, conveyor belts, floor girders, etc. The influence lines help to study where a load will create the maximum effect for any of the functions.

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**Problem 8.13**

Draw the influence lines for the vertical reactions at supports \( A \) and \( E \) and the react moment at support \( E \) of the beam shown.

---

**Diagram Explanation:**

The diagram illustrates a beam supported at two points, \( A \) and \( E \), with a hinge located at point \( C \). The beam is divided into four sections, each measuring 4 meters in length. The segments are marked as follows:

- \( A \) to \( B \) is 4 meters
- \( B \) to \( C \) is 4 meters
- \( C \) to \( D \) is 4 meters
- \( D \) to \( E \) is 4 meters

The objective is to construct the influence lines for the vertical reactions occurring at \( A \) and \( E \), along with the reactive moment at support \( E \). The influence lines represent how the forces change as a moving load traverses the beam.

**Figure Reference:** FIG. P8.13, P8.14, P8.15

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