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).
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?
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