Advanced mechanics of solids

1. MENG 3011: Advanced Mechanics
of Solids
Recorded Lecture available at:

2. Thermoelasticity (Thermal stresses)
L LT

 
L

Changes in temperature produce expansion or contraction of structural materials, resulting in
thermal strains and thermal stresses.
T
L
T
L
 

 

3. Thermoelasticity (Thermal stresses)
There are two occasions when thermal stresses can be induced in a structure:
1. The structure is constrained and unable to expand/contract freely
2. The structure is subjected to a non-uniform temperature variation

4. Thermal stresses: Plane stress

5. 0
0
xy
x
y xy
X
x y
Y
y x


 


  
 
 
  
 

6. Thin plate subjected to a temperature gradient

10. Thermoelasticity: Thin disk subjected to a temperature gradient

12. r



r
MPa
Strain
r




13.  
9
6
3
2
Given:
200 10 Pa
0.025
0.125
0.3
11 10 /
7700 /
10000
1000 /
o
o
E
a m
b m
C
kg m
rpm
C C m





 



 




15. A long pipe of radius a = 500 mm, thickness t = 10mm supports a uniformly distributed end moment Mo as
shown below. Determine the magnitude of Mo if the deflection at the end x = 0 is 0.2 mm. E=200 GPa and
v=0.3.
The following formulae, in usual notation, may be used without
proof:

16. Identities/Results