**1. Advanced Topics in Shearing Forces and Bending Moments:**

Relationship between loading intensity, shearing force and bending moment. Shearing force and bending moment diagrams

**2. Geometric properties of sections.**

Statically moment of plane areas, moment of inertia of plane areas. Centroidal distances of plane areas, parallel axis theorem, Built-up or composite sections, etc.

**3. Elastic bending theory of beams.**

Derivation of standard equation for pure elastic bending (flexures or elastic curve); Bending stress and bending moment; complimentary shear stress.

**
****Determination of slopes and deflection of Elastic curves of beams by
such methods as**

4.1. Classical integration method.

4.2. Macaulay’s Method

4.3. Moment Area method

4.4. Conjugate Beam method.

4.5. Principle of Super-position

4.6. Maxwell’s principle of reciprocal deflection.

**5. Strain energy methods (Principle of Virtual work)**

For uniform and non-uniform bars subjected to simple tension, bending, shear and torsion.

- Lecturer: Endurance Obroku