Draw the influence line for reaction at C and find the maximum upward reaction at C in kNa= 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 determinethe following maximum responses due to a concentrated live load of "a" kN, a uniformly distributedlive 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.ADEF2m2m4.5m2.0m3.0m1.5m

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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)

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)

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

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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