Question (2)For the beam shown in figure (2), draw the influence lines for:1. ReactionsatjointsA,C.andF. 2. ShearforceatjointB.3. Bending moment at joint E. 1 kNRA2 mRcRF2 m2 m2 mmFigure (2)in case: x <4x(64- x2)Rcx(x2 – 16)RFRA = 1- Rc-RF192480in case: x 24(10 - x)(20x-x2 - 16)Re(x- 4)(26x – x²-40)RpRA = 1- Re-Rp288720

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Answered: Question (2) For the beam shown in…

Question (2) For the beam shown in figure (2), draw the influence lines for: 1. ReactionsatjointsA,C.andF. 2. ShearforceatjointB. 3. Bending moment at joint E.

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

Question (2) For the beam shown in figure (2), draw the influence lines for: 1. ReactionsatjointsA,C.andF. 2. ShearforceatjointB. 3. Bending moment at joint E.

1 kN
RA
2 m
Rc
RF
2 m
2 m
2 m
m
Figure (2)
in case: x <4
x(64- x2)
Rc
x(x2 – 16)
RF
RA = 1- Rc-RF
192
480
in case: x 24
(10 - x)(20x-x2 - 16)
Re
(x- 4)(26x – x²-40)
Rp
RA = 1- Re-Rp
288
720

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