A 15 m simple beam shown in Figure 1 carries a moving uniform load of 17.5 kN/m and a system of moving concentrated loads as shown in Figure 2. Draw the influence diagram and calculate the maximum RA, RB, Vc, Vo, Mc, and Mp due to the given loads. C D 6 m 1.5 m 7.5 m Figure 1 89 kN 133.5 133.5 133.5 133.5 3 m 1.5 m 1.5 m 1.5 m

A 15 m simple beam shown in Figure 1 carries a moving uniform load of 17.5 kN/m and a system of moving concentrated loads as shown in Figure 2. Draw the influence diagram and calculate the maximum RA, RB, Vc, Vo, Mc, and Mp due to the given loads. C D 6 m 1.5 m 7.5 m Figure 1 89 kN 133.5 133.5 133.5 133.5 3 m 1.5 m 1.5 m 1.5 m

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

Evaluate the maximum values. Consider the loads moving either to the right or left direction. draw the influence lines and the loadings

A 15 m simple beam shown in Figure 1 carries a moving uniform load of 17.5 kN/m and
a system of moving concentrated loads as shown in Figure 2. Draw the influence
diagram and calculate the maximum RA, RB, Vc, VD, Mc, and MD due to the given
loads.
C
D
B
6 m
1.5 m
7.5 m
Figure 1
89 kN
133.5
TII
133.5
133.5
133.5
!
3 m
1.5 m.
1.5 m,
1.5 m

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