Draw the influence lines for the vertical reactions at supports A and C, and the shear and bending moment at point B, of the simply supported beam shown in Fig. 8.3(a). 1k1.0BBC0.412 ftAB-20 ftA,(a)(b)(c) Influence Line for A, (k/k)Sy = A,0.41.0My = 8C,My =12 A,0.64.8ABASg = - C,- 0.6ВA(d) Influence Line for C, (k/k)(e) Influence Line for S (k/k)(f) Influence Line for MR (k-ft/k)FIG. 8.3

1k 1.0 B B C 0.4 12 ft A B -20 ft A, (a) (b) (c) Influence Line for A, (k/k) Sy = A, 0.4 1.0 My = 8C, My =12 A, 0.6 4.8 A B A Sg = - C, - 0.6 В A (d) Influence Line for C, (k/k) (e) Influence Line for S (k/k) (f) Influence Line for MR (k-ft/k) FIG. 8.3

1k 1.0 B B C 0.4 12 ft A B -20 ft A, (a) (b) (c) Influence Line for A, (k/k) Sy = A, 0.4 1.0 My = 8C, My =12 A, 0.6 4.8 A B A Sg = - C, - 0.6 В A (d) Influence Line for C, (k/k) (e) Influence Line for S (k/k) (f) Influence Line for MR (k-ft/k) FIG. 8.3

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, and the shear and bending moment at point B, of the simply supported beam shown in Fig. 8.3(a).

1k
1.0
B
B
C
0.4
12 ft
A
B
-20 ft
A,
(a)
(b)
(c) Influence Line for A, (k/k)
Sy = A,
0.4
1.0
My = 8C,
My =12 A,
0.6
4.8
A
B
A
Sg = - C,
- 0.6
В
A
(d) Influence Line for C, (k/k)
(e) Influence Line for S (k/k)
(f) Influence Line for MR (k-ft/k)
FIG. 8.3

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