For the floor beam system shown in Fig. (3) construct the influence line for: a. the vertical reaction at B. b. the shear at the left of support B. c. the moment at A. A 2.5 m 3@ 3m= 9m 2 A 4 m 3 An B 2.5 m Direction of motion 20kN 40kN 40kN 40kN 10KN | 3 m Fig. (3) 11.5m/1.5ml

For the floor beam system shown in Fig. (3) construct the influence line for: a. the vertical reaction at B. b. the shear at the left of support B. c. the moment at A. A 2.5 m 3@ 3m= 9m 2 A 4 m 3 An B 2.5 m Direction of motion 20kN 40kN 40kN 40kN 10KN | 3 m Fig. (3) 11.5m/1.5ml

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

For the floor beam system shown in Fig. (3) construct the influence line for:
a. the vertical reaction at B.
b. the shear at the left of support B.
c. the moment at A.
3@ 3m= 9m
2
1
A
A
2.5 m
4 m
3
!!
TITIT
B
2.5 m
4
Direction of motion
20kN
40kN 4QkN 40kN
(2) (3)
3 m 1.5m|1.5ml
Fig. (3)

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