# BTech Engineering Preparatory Unit (BEPU) in Civil Engineering (Mechanics: Statics)

### Objectives

After completing this module, each student should be able to:
• establish equilibrium equations for particles and rigid bodies via free body diagrams,

• identify constraints and the statical determinacy of structures,

• analyse statically determinate trusses, frames and machines,

• draw shear force and bending moment diagrams of beams under lateral loads,

• investigate effect of friction on statics of structure,

### Description

• General concepts: Newton’s Laws in Mechanics; SI System of Units; Forces and Moments.

• Equilibrium Conditions; Free Body Diagrams of Particles and Rigid Bodies.

• Constraints and Statical Determinacy of Structures; Centre of Gravity and Centroid of a Body

• Analysis of Statically Determinate Pin Jointed Structures (Trusses);

• Analysis of Statically Determinate Frames and Machines.

• Analysis of Statically Determinate Taut Cables.

• Beams under Lateral Loads; Shear Force Diagrams; Bending Moment Diagrams.

• Dry Friction; Coefficients of Friction; Effects of Friction on Equilibrium Conditions of Structures.

### Syllabus

1. General concepts: Newton’s Laws in Mechanics; SI System of Units; Forces and Moments; General Procedure and Considerations.

2. Equilibrium of Particles: Systems of Forces; Conditions for Equilibrium; Free Body Diagrams of Particles.

3. Equilibrium of Rigid Bodies: Systems of Forces and Moments; Conditions for Equilibrium; Free Body Diagrams of Rigid Bodies.

4. Constraints and the Statical Determinacy of Structures; Centre of Gravity and Centroid of a Body

5. Analysis of Statically Determinate Pin Jointed Structures (Trusses): Analysis of Trusses by Method of Joints; Analysis of Truss by Method of Sections.

6. Analysis of Statically Determinate Frames and Machines: Basic Considerations; Free Body Diagrams; Equilibrium Conditions.

7. Analysis of Taut Cables; Conditions for Equilibrium; Free Body Diagrams.

8. Beams under Lateral Loads: Free Body Diagrams; Equilibrium Equations; Shear Force Diagrams; Bending Moment Diagrams.

9. Dry Friction; Coefficients of Friction; Effects of Friction Forces on Equilibrium Conditions of Structures.

02 October 2019