1. Review Conjugate beam
method
Prepaid by:

2. Review Conjugate beam
method

3. Conjugate-Beam Supports

5. Review Example 1
Find the deflection at Point B

6. Review Example 2
Find the deflection at Point C

7. Determinacy & Stability
Determinacy: when all the forces in structure can be determined from equilibrium equation , the structure is referred to as statically determinate. Structure having more unknown forces than available equilibrium equations called statically indeterminate
If n is number of structure parts & r is number of unknown forces:
r = 3n, statically determinate
r > 3n, statically indeterminate

9. Force Method: General Procedure
Determine the number of redundant reactions
Remove enough redundants to form a determinate structure
Calculate the displacements that the known loads cause in the determinate structure
Calculate displacements at the same points in the determinate structure due to the redundants
The sum of the displacements calculated in steps (3) and (4) must be equal to the displacements at the actual indeterminate structure
Use equilibrium to determine the remaining reactions

10. Note 1
Compatibility Equation +

11. Note 2
Compatibility Equation +

12. Note 3