Hinge Hinge. B E -4 m -10 m- (a) Deflected shape A A, Released Beam for A, 1.0 A B D E Influence Line for A, (kN/kN) (b) A B Released Beam for Cy 1.4 1.0 F A B D. -0.4 Influence Line for C, (kN/kN) (c) FIG. 8.11

Hinge Hinge. B E -4 m -10 m- (a) Deflected shape A A, Released Beam for A, 1.0 A B D E Influence Line for A, (kN/kN) (b) A B Released Beam for Cy 1.4 1.0 F A B D. -0.4 Influence Line for C, (kN/kN) (c) FIG. 8.11

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.

Question

Draw the influence lines for the vertical reactions at supports A and C of the beam shown in Fig. 8.11(a)

Hinge
Hinge.
B
E
-4 m
-10 m-
(a)
Deflected shape
A
A,
Released Beam for A,
1.0
A
B
D
E
Influence Line for A, (kN/kN)
(b)
A
B
Released Beam for Cy
1.4
1.0
F
A
B
D.
-0.4
Influence Line for C, (kN/kN)
(c)
FIG. 8.11

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