Homework:

1. Derive the resultant in-plane forces and moments for a laminate with thermal effects.
   
   

2. Derive the resultant in-plane forces and moments for a laminate with hygral effects.
   
   

3. Derive an expression for laminate coefficient of thermal expansion under the uniform temperature condition.
   
   

4. Derive an expression for laminate coefficient of hygral expansion under the condition of uniform moisture absorption.
   
   

5. Derive the expressions for resultant in-plane forces and moments for a laminate with hygro-thermal effects.
   
   

6. Derive the governing differential equations for classical laminate theory.
   
   

7. Calculate the laminate coefficients of thermal expansion for the following laminates of AS4/3501-6 Epoxy from Soden et al [4]. Take thickness of each layer as 1 mm.

1. 
   
   
2. 
   
   
3. 
   
   
4. 
   
   

8. Calculate the thermal residual stresses for a temperature change of  at the top and bottom of the following laminates of AS4/3501-6 Epoxy. (Write a computer code for this problem. Repeat the Example 5.12).

9. Calculate the laminate coefficients of hygral expansion for laminate sequences in exercise example 7 with T300/5208 material as in Example 5.11. Take thickness of each layer as 1 mm.