Example 11: Draw the influence lines for the vertical reactions at supports A; B, and E and the shear at internal hinge D of the frame shown in Fig. Hinge D. 3 m Ay-1 - 3 m+3m3m- Ay 1 ŹMA B, - \(3-X) 1

Example 11: Draw the influence lines for the vertical reactions at supports A; B, and E and the shear at internal hinge D of the frame shown in Fig. Hinge D. 3 m Ay-1 - 3 m+3m3m- Ay 1 ŹMA B, - \(3-X) 1

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter8: Influence Lines

Section: Chapter Questions

Problem 33P

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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.

Question

Example 11: Draw the influence lines for the vertical reactions at supports A; B,
and E and the shear at internal hinge D of the frame shown in Fig.
Hinge
C
D
3 m
Ay-1
3 m+3m-3 m-
Ay= 1
ZMA
D.
NB, - \(9-x)
1

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