Problem # 025
Thermal Expansion and Stress
A column of length
L
is sitting on a rigid floor. At installation time there is a gap
d
between the top of the column and the rigid ceiling above.
The distance between ceiling and floor is constant for the purpose of this problem.
Length of column :
L = 2.5 m
Initial gap :
d=0.8 mm
Coefficient of thermal expansion :
12*10
^{-6}
1/
^{o}
C
Modulus of Elasticity :
E = 200 GPa
By how much must the temperature of the column rise in order for the gap
d
to close ?
What is the normal stress in the column at a temperature 50
^{o}
C above that at installation time ?