Q4: Draw the influence line for the reaction at A, draw the influence line at D in the girder, and draw the influence line for the shear at point F of the girder. Determine the maximum positive moment in the girder at D and determine the maximum positive shear at point F due to a uniform live load of 5 kN/m acting, a uniform dead load 2 kN/m and a concentrated live load 30 kN on the top beams. 2m 2m 2m Internal Hinge 2 m 3mm D 4m 4 m E

Q4: Draw the influence line for the reaction at A, draw the influence line at D in the girder, and draw the influence line for the shear at point F of the girder. Determine the maximum positive moment in the girder at D and determine the maximum positive shear at point F due to a uniform live load of 5 kN/m acting, a uniform dead load 2 kN/m and a concentrated live load 30 kN on the top beams. 2m 2m 2m Internal Hinge 2 m 3mm D 4m 4 m 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

Q4: Draw the influence line for the reaction at A, draw the influence line for the moment
at D in the girder, and draw the influence line for the shear at point F of the girder.
Determine the maximum positive moment in the girder at D and determine the
maximum positive shear at point F due to a uniform live load of 5 kN/m acting, a
uniform dead load 2 kN/m and a concentrated live load 30 kN on the top beams.
2m
B
2m 2m
Internal Hinge
2m
F
C3m 1m D
4 m
4 m
E

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Step 1: Introduce the problem statement

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Step 2: ILD at support 2

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Solution

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Step 3: ILD at support 4

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Step 4: ILD at support 6

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Step 5: When load is at 2m right of '1', '2' and '3'

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Step 6: When load is at '4', '5' and '6'

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Step 7: Summary of ILD for reaction at, Moment at D and Shear at F

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Step 8: Plot ILD for reaction at, Moment at D and Shear at F

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Step 9: Determine maximum positive moment at D

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Step 10: Determine maximum positive shear at D

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