Determine quantitatively the influence lines for Ay, ME and VẸ for the statically determine system shown below. Also determine the maximum moment at E if there are two live loads of magnitude P each. These loads are separated by a distance of at least L/4. A В 3L/8 5L/8 L/5 4L/5

Determine quantitatively the influence lines for Ay, ME and VẸ for the statically determine system shown below. Also determine the maximum moment at E if there are two live loads of magnitude P each. These loads are separated by a distance of at least L/4. A В 3L/8 5L/8 L/5 4L/5

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

Determine quantitatively the influence lines for A,, ME and VE for the statically determine system shown
below. Also determine the maximum moment at E if there are two live loads of magnitude P each. These
loads are separated by a distance of at least L/4.
A
E
В
C
TTTTTI
3L/8
5L/8
L/5
4L/5

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Step 1 Irpretation of data

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Step 2 Influence line diagram for Ay

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Step 3 Influence line diagram for Me

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Step 4 Influence line diagram for Ve

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Step 5 Calculations for maximum bending moment

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