(Knowing that the linear expansion of steel is a = 15.5×10-6 K¯'). How the change of the beam temperature will affect the length of the beam. What will be the new length if it may change? ) If the same beam of length 9 m is compressed due to temperature changes from T1=200°C to T2=5 °C Determine the new length of the beam.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Parts D, E

Your role as structural design engineer in a consultant firm, you have been assigned a task to analyses the
steel beam shown in Figure.1. The steel beam carries a uniformly distributed load of 600 N/m and a
concentrated load at point A of 40 N. 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 beam in Figure 1 is heated from 10°C to 90° C. assuming that the original length was 9 m.
(Knowing that the linear expansion of steel is a = 15.5×10-6 K-1). How the change of the beam's
temperature will affect the length of the beam. What will be the new length if it may change?
E) If the same beam of length 9 m is compressed due to temperature changes from T1=200°C to T2=50
°C„Determine the new length of the beam.
600 N/m
А
3 m
4 m
2 m
40N
Figure 1:Beam
Task IY
Transcribed Image Text:Your role as structural design engineer in a consultant firm, you have been assigned a task to analyses the steel beam shown in Figure.1. The steel beam carries a uniformly distributed load of 600 N/m and a concentrated load at point A of 40 N. 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 beam in Figure 1 is heated from 10°C to 90° C. assuming that the original length was 9 m. (Knowing that the linear expansion of steel is a = 15.5×10-6 K-1). How the change of the beam's temperature will affect the length of the beam. What will be the new length if it may change? E) If the same beam of length 9 m is compressed due to temperature changes from T1=200°C to T2=50 °C„Determine the new length of the beam. 600 N/m А 3 m 4 m 2 m 40N Figure 1:Beam Task IY
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