1. Mechanics of Materials
Combined Loadings

2. Combined Loadings Stress analysis where: Axial load Torsion Bending
Shear
occur simultaneously

3. Thin-Walled Pressure Vessels
Vessels having an inner-radius-to-wall-thickness ratio of 10 or more, r/t ≥ 10
Cylindrical Vessels

5. Spherical Vessels

9. Problems 8-2 and 8-6

10. State of stress caused by combined loadings
Members subjected to several (one or more) internal :
Axial force
Shear Force
Bending Moment
Torsional Moment

11. State of stress caused by combined loadings
Method of Superposition:
Based on the principle of superposition
Stress distribution due to each loading is determined.
Stress distributions of all loadings are superimposed
Resultant stress distribution is determined
Limits:
Linear relationship exist between stress and the loads.
Small (insignificant) changes to geometry of member because of the loads.