BTech Engineering Bridging Unit (BEBU) in Mechanical Engineering (Statics and Mechanics of Materials)


Objectives

  • Draw a free body diagram and identify unknown reaction forces and moments.

  • Solve statically determinate problems involving rigid bodies, pin-jointed structures and cables with and without friction.

  • Understand the concepts of engineering stress, strain and linear elastic material behaviour.

  • Determine stress and deformation of axial force members.

  • Determine torque distributions, shear stress and angles of twist in torsional members.

  • Determine bending moment and shear force distributions in laterally-loaded beams.

  • Determine normal stresses and transverse deflections in beams.

Description

  • Introduction – Definitions; Vectors; Vectorial Law; Principle of Transmissibility; Scalar Product; Cross Product;

  • Equilibrium of a Particle – Free Body Diagram. Moment and Equilibrium.

  • Moment of a Force – Moment of a Couple, Equilibrium of a Two-Force Body. Equilibrium of a Rigid Body in 2-D

  • Equilibrium of a Rigid Body – Statically Indeterminate System; Partial Constraints; Improper Constraints. Equilibrium of a Three-Force Body, Equilibrium of a Body in 3-D

  • Distributed Forces – Centre of Gravity of a 2-D Body, Distributed Loans on Beam

  • Analysis of Truss – Simple Trusses, Analysis of Trusses by Method of Joint, Analysis of Truss by Method of Section.

  • Friction – Dry Friction, Coefficients of Friction

  • Introduction to Mechanics of Materials Deformable Bodies – Stress and Strain and Sign Convention; Linear Elastic Stress-Strain Relationships.

  • Axial Force Members – Solution of Axially-Loaded Structures; Statically Indeterminate Axially Loaded Structures.

  • Torsion of Cylindrical Shafts – Torque and Torsional Deformation (Relationships between Torque, Angle of Twist, Shear Stresses and Shear Strains); Solid and Hollow Shafts; Polar Second Moment of Area: Stepped Shafts; Torque Distribution; Composite Shafts.

  • Flexure (Bending) of Beams – Idealized Loads and Supports; Shear Force and Bending Moment Diagrams; Relationships between Load-Intensity, Shear Force and Bending Moment, Singularity Functions.

  • Normal Stresses in Beams Subjected to Bending Curvature- Longitudinal Strains; Normal Stresses; Neutral Axis; Flexural Formula; Second Moment of Area; Design of Beams for Bending.

  • Beam Deflection Induced by Bending – Equations for Deflection and Slope; Relationships between Deflection, Slope, Shear Force and Bending Moment; Macaulay's Method of Double Integration; Application to Determinate Beams. 

Assessment Component

  • Tests/Quizzes: 20%

  • Others (e.g. Projects, assignments, homework, class participation): 20%

  • Final Examination: 60% 
 
02 October 2019