For the girder shown below, draw the influence lines for shear in panel CD and the bending moment at point D. Then, determine the moment of point D due to the live load group and a uniformly distributed load of 50 kN/m if the system of loads will be moved to the right. MOMENT CHART: 30N 30N 30N 35N 35N 20N 2m 2m 3m GIRDER AH: 7 panels a 4m = 28m Answer: Max. Mp= 415+ 4(16)(50)/2 = 2015N.m with Load 4 at D.

For the girder shown below, draw the influence lines for shear in panel CD and the bending moment at point D. Then, determine the moment of point D due to the live load group and a uniformly distributed load of 50 kN/m if the system of loads will be moved to the right. MOMENT CHART: 30N 30N 30N 35N 35N 20N 2m 2m 3m GIRDER AH: 7 panels a 4m = 28m Answer: Max. Mp= 415+ 4(16)(50)/2 = 2015N.m with Load 4 at D.

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 girder shown below, draw the influence lines for shear in panel CD and
the bending moment at point D. Then, determine the moment of point D due to the live
load group and a uniformly distributed load of 50 kN/m if the system of loads will be moved
to the right.
MOMENT CHART:
30N
30N
30N
35N
35N
35N
20N
2m
2m
4m
2m 2m
3m
GIRDER AH:
в
C
D
E
F
G
H
7 panels a 4m = 28m
Answer: Max. Mp= 415+ 4(16)(50)/2 = 2015N.m with Load 4 at D.

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Step 1: Draw the influence line diagram for the shear in beam CD.

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Step 2: Influence line diagram for moment at B

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Step 3: Determining the maximum moment at D

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