Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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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 ar…
Question

Draw the influence line for reaction at C and find the maximum upward reaction at C in kN

a= 45 kN (concentrated load) b= 50 kN/m (uniformly distributed live load) c= 23 kN/m (uniformly distributed dead load)

 

1. For the beam shown in the figure below, draw the influence lines for R., Re, Ru, Vs and M, and determine the following maximum responses due to a concentrated live load of "a" kN, a uniformly distributed live load of "b" kN/m, and a uniformly distributed dead load of "c" kN /m. a. Maximum upward reaction at A in kN, put "0" if none. b. Maximum upward reaction at Cin kN, put "0" if none. C. Maximum upward reaction at E in kN, put "0" if none. d. Maximum negative shear at B in kN, put "o" if none. e. Maximum positive moment at B in kN-m, put "0" if none. A D E F 2m 2m 4.5m 2.0m 3.0m 1.5m
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Transcribed Image Text:1. For the beam shown in the figure below, draw the influence lines for R., Re, Ru, Vs and M, and determine the following maximum responses due to a concentrated live load of "a" kN, a uniformly distributed live load of "b" kN/m, and a uniformly distributed dead load of "c" kN /m. a. Maximum upward reaction at A in kN, put "0" if none. b. Maximum upward reaction at Cin kN, put "0" if none. C. Maximum upward reaction at E in kN, put "0" if none. d. Maximum negative shear at B in kN, put "o" if none. e. Maximum positive moment at B in kN-m, put "0" if none. A D E F 2m 2m 4.5m 2.0m 3.0m 1.5m
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