1. ENGR 220 Section

2. Principal of Superposition
Two conditions must be met
Loading must be linearly related to stress or displacement that is to be determined.
The loading must not change the original geometry significantly.

3. Principle of Superposition
By subdividing the loading into components, the principle of superposition states:
The resultant stress or displacement at a point can be determined by first finding the stress or displacement caused by each load acting separately on the member.
The resultant stress or displacement is then determined by algebraically adding the contributions of the components.

4. Statically Indeterminate Axially Loaded Members

6. Determine the average normal stress in the aluminum and the brass

7. Force Method of Analysis of Axially Loaded Members

8. Lecture Example: Determine the reactions at A and B’

10. Lecture Example: The column is constructed out of high strength concrete and four A-36 steel reinforcing rods. Determine the required diameter of each rod so that one-fourth of the load is carried by the rods and three-fourths by the concrete.

11. Lecture Example: Determine the maximum intensity of the distributed load so that an allowable stress of (σallow)st = 180 MPa in the steel and (σallow)al = 94 Mpa in the aluminum is not exceeded.
Abar = 450 mm2
Eal = 70 GPa
Est = 200 GPa