Figure Q2a shows a beam with a pinned at A and roller supported at C and E. The beam has an internalhinge at D.a) Draw the influence line diagrams for the following functions: (CO2, C3, PO2, WP1)i)Vertical support reaction at AVertical support reaction at CShear force at BBending Moment at BBending Moment at CMarks]b) If the beam support its own weight of 4kN/m and a uniformly distributed moving live load of 5kN/mof length 2.5m, calculate the maximum vertical support reactions at A and C (CO3, C4, PO2 WP1)Marks]c) If the beam support a series of point loads as in Figure Q2b which travel to the right from A to E,determine the maximum positive bending moment at B. (CO3, C4, PO2, WP1)AE2.5m2.5m2.5m2.5mFigure Q2a20KN30KN2.5m

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Figure Q2a shows a beam with a pinned at A and roller supported at C and E. The beam has an internal hinge at D. a) Draw the influence line diagrams for the following functions: (CO2, C3, PO2, WP1) i) ii) Vertical support reaction at A Vertical support reaction at C Shear force at B

Figure Q2a shows a beam with a pinned at A and roller supported at C and E. The beam has an internal hinge at D. a) Draw the influence line diagrams for the following functions: (CO2, C3, PO2, WP1) i) ii) Vertical support reaction at A Vertical support reaction at C Shear force at B

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

Figure Q2a shows a beam with a pinned at A and roller supported at C and E. The beam has an internal
hinge at D.
a) Draw the influence line diagrams for the following functions: (CO2, C3, PO2, WP1)
i)
Vertical support reaction at A
Vertical support reaction at C
Shear force at B
Bending Moment at B
Bending Moment at C
Marks]
b) If the beam support its own weight of 4kN/m and a uniformly distributed moving live load of 5kN/m
of length 2.5m, calculate the maximum vertical support reactions at A and C (CO3, C4, PO2 WP1)
Marks]
c) If the beam support a series of point loads as in Figure Q2b which travel to the right from A to E,
determine the maximum positive bending moment at B. (CO3, C4, PO2, WP1)
A
E
2.5m
2.5m
2.5m
2.5m
Figure Q2a
20KN
30KN
2.5m

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