Your role as structural design engineer in a consultant firm, you have been assigned a task to analyses the the Aluminium beam shown in Figure.1. The aluminium beam carries a uniformly distributed load of 45KN/m and two concentrated loads at point A of 20 kN and of 40 kN at point D as shown in figure 1. Your manger asked you to do the following. A) Replace the distributed load with an equivalent concentrated load. B) Draw a free body diagram for the beam showing the forces acting on the beam and their locations. C) Applying the equations of equilibrium, determine the reactions forces at the fixed pin support B and roller support at point C. D) If the aluminium beam is replaced by another iron beam which undergoes an expansion of 0.2 m when heated from 10 C° to 50 C° (Knowing that the coefficient of linear expansion of iron is a =11.7×10-6 K-1. Calculate the original length of the beam. Then suppose that the temperature is decreased from 50 C° to 10 C°, explain how this will affect the length of the beam? 20 kN 40 kN 45 kN/m ↑ ↑ † f f t. 12m Figure 1:Beam
Your role as structural design engineer in a consultant firm, you have been assigned a task to analyses the the Aluminium beam shown in Figure.1. The aluminium beam carries a uniformly distributed load of 45KN/m and two concentrated loads at point A of 20 kN and of 40 kN at point D as shown in figure 1. Your manger asked you to do the following. A) Replace the distributed load with an equivalent concentrated load. B) Draw a free body diagram for the beam showing the forces acting on the beam and their locations. C) Applying the equations of equilibrium, determine the reactions forces at the fixed pin support B and roller support at point C. D) If the aluminium beam is replaced by another iron beam which undergoes an expansion of 0.2 m when heated from 10 C° to 50 C° (Knowing that the coefficient of linear expansion of iron is a =11.7×10-6 K-1. Calculate the original length of the beam. Then suppose that the temperature is decreased from 50 C° to 10 C°, explain how this will affect the length of the beam? 20 kN 40 kN 45 kN/m ↑ ↑ † f f t. 12m Figure 1:Beam
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Your role as structural design engineer in a consultant firm, you have been assigned a task to analyses the the
Aluminium beam shown in Figure.1. The aluminium beam carries a uniformly distributed load of 45KN/m
and two concentrated loads at point A of 20 kN and of 40 kN at point D as shown in figure 1. Your manger
asked you to do the following.
A) Replace the distributed load with an equivalent concentrated load.
B) Draw a free body diagram for the beam showing the forces acting on the beam and their locations.
C) Applying the equations of equilibrium, determine the reactions forces at the fixed pin support B and
roller support at point C.
D) If the aluminium beam is replaced by another iron beam which undergoes an expansion of 0.2 m when
heated from 10 C° to 50 C° (Knowing that the coefficient of linear expansion of iron is a =11.7×10-6
K-1. Calculate the original length of the beam. Then suppose that the temperature is decreased from
50 C° to 10 C°, explain how this will affect the length of the beam?
20 kN
40 kN
45 kN/m
↑ ↑ † f f t.
12m
Figure 1:Beam
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