Figure Q2 shows a straight rod of circular cross section, of diameter 20 mm, length 0.8 m and made out of copper. The rod is rigidly supported at one end while the other end is free to be displaced a distance of 0.5 mm. Take the elastic modulus of copper E = 117 GPa. The drawing is not at scale. a) If the coefficient of thermal expansion of copper is 17x106 °C1 find the temperature change AT which causes the end B of the rod to touch the wall. b) What is the reaction force at end B if the temperature increases with 2AT? c) What is the temperature increase which causes the rod to buckle elastic? Assume pin joint conditions at end B. d) If the rod was rigidly supporter at both ends, what is the temperature raise needed
Figure Q2 shows a straight rod of circular cross section, of diameter 20 mm, length 0.8 m and made out of copper. The rod is rigidly supported at one end while the other end is free to be displaced a distance of 0.5 mm. Take the elastic modulus of copper E = 117 GPa. The drawing is not at scale. a) If the coefficient of thermal expansion of copper is 17x106 °C1 find the temperature change AT which causes the end B of the rod to touch the wall. b) What is the reaction force at end B if the temperature increases with 2AT? c) What is the temperature increase which causes the rod to buckle elastic? Assume pin joint conditions at end B. d) If the rod was rigidly supporter at both ends, what is the temperature raise needed
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:F2. Figure Q2 shows a straight rod of circular cross section, of diameter 20 mm, length
0.8 m and made out of copper. The rod is rigidly supported at one end while the
other end is free to be displaced a distance of 0.5 mm. Take the elastic modulus of
copper E = 117 GPa. The drawing is not at scale.
a) If the coefficient of thermal expansion of copper is 17x106 °C1 find the
temperature change AT which causes the end B of the rod to touch the wall.
b) What is the reaction force at end B if the temperature increases with 2AT?
c) What is the temperature increase which causes the rod to buckle elastic? Assume
pin joint conditions at end B.
d) If the rod was rigidly supporter at both ends, what is the temperature raise needed
to cause elastic buckling in the rod?
B
0.8 m
s = 0.5 mm
Figure Q2
D = 20 mm
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