A simply supported Aluminium beam of length 18m is subjected to concentrated loads of 15 KN amd12KN ,in addition to a uniform distributed load of 50 kN/m as shown in figure 1. Assuming the weight of the beam is neglected, calculate the following:A) Replace the distributed load with an equivalent concentrated load.B) Sketch a suitable free body diagram of the beam showing all forces and reaction forces at the supports.C) Determine the reaction forces at the fixed pin support A and roller support at point B by applying the equations of equilibrium (Clearly annotate all calculations).D) If the beam in Figure.1 was applied to temperature variation Δ? such that the temperature changes from ?1=280.20? to ?2=293.40 k , find the new length of the beam (Given the coefficient of linear expansion of Aluminium is α = 23×10−6K−1).E) Then suppose the same beam temperature changes from 40 Cº to 10 Cº, explain how this will affect the length of the beam? Task IA simply supported Aluminium beam of length 18m is subjected to concentrated loads of 15 KN amd12KN ,inaddition to a uniform distributed load of 50 kN/m as shown in figure 1. Assuming the weight of the beam isneglected, calculate the following:A) Replace the distributed load with an equivalent concentrated load.B) Sketch a suitable free body diagram of the beam showing all forces and reaction forces at the supports.C) Determine the reaction forces at the fixed pin support A and roller support at point B by applying the equationsof equilibrium (Clearly annotate all calculations).D) If the beam in Figure.1 was applied to temperature variation AT such that the temperature changes fromT,=280.20K to T, = 293.40 k, find the new length of the beam (Given the coefficient of linear expansionof Aluminium is a = 23 × 10-“K-1).E) Then suppose the same beam temperature changes from 40 C° to 10 C°, explain how this will affect the lengthof the beam?12KN15KN50 kN/m3 m6 m12 mFigure 1:Beam

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Answered: A simply supported Aluminium beam of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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A simply supported Aluminium beam of length 18m is subjected to concentrated loads of 15 KN amd12KN ,in addition to a uniform distributed load of 50 kN/m as shown in figure 1. Assuming the weight of the beam is neglected, calculate the following:

A) Replace the distributed load with an equivalent concentrated load.
B) Sketch a suitable free body diagram of the beam showing all forces and reaction forces at the supports.
C) Determine the reaction forces at the fixed pin support A and roller support at point B by applying the equations of equilibrium (Clearly annotate all calculations).
D) If the beam in Figure.1 was applied to temperature variation Δ? such that the temperature changes from ?1=280.20? to ?2=293.40 k , find the new length of the beam (Given the coefficient of linear expansion of Aluminium is α = 23×10−6K−1).
E) Then suppose the same beam temperature changes from 40 Cº to 10 Cº, explain how this will affect the length of the beam?

Task I
A simply supported Aluminium beam of length 18m is subjected to concentrated loads of 15 KN amd12KN ,in
addition to a uniform distributed load of 50 kN/m as shown in figure 1. Assuming the weight of the beam is
neglected, calculate the following:
A) Replace the distributed load with an equivalent concentrated load.
B) Sketch a suitable free body diagram of the beam showing all forces and reaction forces at the supports.
C) Determine the reaction forces at the fixed pin support A and roller support at point B by applying the equations
of equilibrium (Clearly annotate all calculations).
D) If the beam in Figure.1 was applied to temperature variation AT such that the temperature changes from
T,=280.20K to T, = 293.40 k, find the new length of the beam (Given the coefficient of linear expansion
of Aluminium is a = 23 × 10-“K-1).
E) Then suppose the same beam temperature changes from 40 C° to 10 C°, explain how this will affect the length
of the beam?
12KN
15KN
50 kN/m
3 m
6 m
12 m
Figure 1:Beam

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