B 5 ft 15 ft FAF=-1.667 A, -1.25 () Influence Line for FAr (k/k) 4 panels at 20 ft = 80 ft FFG H (a) For B Fac c D Ay E, A 40 ft- D (g) Section aa 1k E, For=0.833 A, 0.417 B A E (b) -0.625 Fer--2.5 E, 1.0 0.75 (h) Influence Line for Fer (k/k) 0.5 A B E 4 4 FFG (c) Influence Line for A, (k/k) Fcc 1.0 (i) 0.25 B A B -0.515 FrG =-2.062 E, (d) Influence Line for E, (k/k) -1.031 FrG-2.062 A, 1k O Influence Line for Frg (k/k) FAr FcG-0.485 FrG A FAB 0.5 A, E (e) (1) Influence Line for FcG (k/k) FIG. 8.19

B 5 ft 15 ft FAF=-1.667 A, -1.25 () Influence Line for FAr (k/k) 4 panels at 20 ft = 80 ft FFG H (a) For B Fac c D Ay E, A 40 ft- D (g) Section aa 1k E, For=0.833 A, 0.417 B A E (b) -0.625 Fer--2.5 E, 1.0 0.75 (h) Influence Line for Fer (k/k) 0.5 A B E 4 4 FFG (c) Influence Line for A, (k/k) Fcc 1.0 (i) 0.25 B A B -0.515 FrG =-2.062 E, (d) Influence Line for E, (k/k) -1.031 FrG-2.062 A, 1k O Influence Line for Frg (k/k) FAr FcG-0.485 FrG A FAB 0.5 A, E (e) (1) Influence Line for FcG (k/k) FIG. 8.19

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 forces in members AF; CF, and CG of the Parker truss shown in Fig. 8.19(a). Live loads are transmitted to the bottom chord of the truss.

B
5 ft
15 ft
FAF=-1.667 A,
-1.25
() Influence Line for FAr (k/k)
4 panels at 20 ft = 80 ft
FFG
H
(a)
For
B Fac c
D
Ay
E,
A
40 ft-
D
(g) Section aa
1k
E,
For=0.833 A,
0.417
B
A
E
(b)
-0.625
Fer--2.5 E,
1.0
0.75
(h) Influence Line for Fer (k/k)
0.5
A
B
E
4
4
FFG
(c) Influence Line for A, (k/k)
Fcc
1.0
(i)
0.25
B
A
B
-0.515
FrG =-2.062 E,
(d) Influence Line for E, (k/k)
-1.031
FrG-2.062 A,
1k
O Influence Line for Frg (k/k)
FAr
FcG-0.485 FrG
A
FAB
0.5
A,
E
(e)
(1) Influence Line for FcG (k/k)
FIG. 8.19

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