Use Müller-Breslau's principle to construct the following influence lines. Calculate and label the ordinates of the influence lines. 1) Vertical reaction force at supports A 2) Vertical reaction force at support B 3) Internal moment at location E Determine the maximum negative moments at point E due to a set of combined loading, which includes a concentrated live load of 35 kN, a uniformly distributed live load of 6 kN/m, and a uniformly distributed dead load of 15 kN/m. A 12 m B + 6 m hinge D E w 9 → w 9 → w 9 → F

Use Müller-Breslau's principle to construct the following influence lines. Calculate and label the ordinates of the influence lines. 1) Vertical reaction force at supports A 2) Vertical reaction force at support B 3) Internal moment at location E Determine the maximum negative moments at point E due to a set of combined loading, which includes a concentrated live load of 35 kN, a uniformly distributed live load of 6 kN/m, and a uniformly distributed dead load of 15 kN/m. A 12 m B + 6 m hinge D E w 9 → w 9 → w 9 → F

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

Use Müller-Breslau's principle to construct the following influence lines. Calculate and label
the ordinates of the influence lines.
1) Vertical reaction force at supports A
2)
Vertical reaction force at support B
3) Internal moment at location E
Determine the maximum negative moments at point E due to a set of combined loading, which
includes a concentrated live load of 35 kN, a uniformly distributed live load of 6 kN/m, and a
uniformly distributed dead load of 15 kN/m.
A
12 m
B
6 m
hinge
6m
D
E
6m-6m
F

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Step 2: ILD for Reactions and moment

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Step 4: maximum negative moment at E

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