Basics of Applied Mechanics

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BASICS OF APPLIED DI03000201
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Code: DI03000201 Credits: 3 Semester 3 ME(

Basics of Applied Mechanics

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Basics of Applied Mechanics Syllabus — Unit-wise Content

The official GTU curriculum for Basics of Applied Mechanics (subject code DI03000201) as prescribed for ME( · Semester 3 divides the course into 8 units, covering 61 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.

Download the official syllabus PDF (DI03000201)

Unit 1 Basics of Mechanics

2 lecture hours

  • 1.1 Significance and relevance of Mechanics
  • Applied mechanics
  • flexible body and rigid body. 1.2 Scalar and vector quantity
  • Units of measurement (SI units) - Fundamental units and derived units. 1.3 Force – unit
  • representation as a vector and by Bow’s notation
  • characteristics and effects of a Force. 1.4 Principle of transmissibility of force
  • Principle of Superposition 1.5 Force system and its classification

Unit 2 Coplanar Concurrent Forces

  • 2.1 Resolution of a force - Orthogonal components of a force 2.2 Equilibrium and Equilibrant
  • Free body and Free body diagram
  • conditions of equilibrium
  • 2.3 Resultant of forces using analytical and graphical methods for the forces acting at a point: 1
  • Law of Parallelogram 2
  • Law of triangle

Unit 3 Law of Polygon

6 lecture hours

  • 2.4 Lami’s Theorem – statement and explanation
  • Application for various engineering problems. 3
  • Centroid & Centre of Gravity: 04 13 Program Name: Engineering Level: Diploma Branch: Mechanical Engineering / Mechanical Engineering (CAD/CAM) / Mechatronics Engineering Course/Subject Code: DI03000201 Course/Subject Name: Basics of Applied Mechanics 3.1 Concept of Centroid
  • Centre of Gravity. 3.2 Axis of reference and Axis of Symmetry. 3.3 Centroid of One-Dimensional geometrical figures using principle of moment. 3.4 Centroid of Two-Dimensional geometrical Plane figures (Square
  • Quarter-circle) & Composite figures (not more than three figures) using first moment of area. 3.5 Centre of Gravity of Simple solids (Cube
  • Hemisphere) & Composite solids (not more than two solids) using first moment of mass

Unit 4 Direct Stress and Strain

6 lecture hours

  • 4.1 Direct stress
  • Linear strain
  • Elastic limit
  • Hook’s law, Modulus of Elasticity or Young’s modulus
  • Stress Strain curve for mild steel bar under tension with numerical problems. 4.2 Lateral stress and strain
  • Poisson’s ratio
  • Volumetric strain
  • Bulk modulus
  • relation between three moduli and numerical
  • Basics Concepts of Shear Stress
  • Shear Strain & Modulus of rigidity. 4.3 Concept of composite and compound section
  • modular ratio and numerical. 4.4 Concept of Thermal stress and strain
  • Thermal stresses for non- yielding and yielding condition with numerical. 4.5 Stresses due to gradual
  • sudden and impact load
  • corresponding deformation
  • Strain energy
  • Proof resilience and Modulus of resilience with numerical

Unit 5 Moment of Inertia

4 lecture hours

  • 5.1 Concept and Importance of Moment of Inertia. 5.2 Concept of Section modulus
  • Radius of gyration
  • Polar moment of Inertia. 5.3 Parallel Axis Theorem & Perpendicular Axis Theorem 5.4 Formulas to calculate Moment of Inertia of solid and hollow rectangle
  • triangle shapes (without derivations). 5.5 Moment of Inertia of symmetrical and asymmetrical I-section
  • Channel section
  • Angle section
  • Hollow sections and Built-up sections about Centroidal axis and any other reference axis using Parallel axis theorem

Unit 6 Torsion

4 lecture hours

  • 6.1 Torque or turning moment or twisting moment
  • Angle of twist
  • Shear stress in shaft
  • strength of shafts
  • Polar moment of inertia
  • Torsional rigidity
  • assumptions in the theory of torsion
  • Program Name: Engineering Level: Diploma Branch: Mechanical Engineering / Mechanical Engineering (CAD/CAM) / Mechatronics Engineering Course/Subject Code: DI03000201 Course/Subject Name: Basics of Applied Mechanics 6.2 Equation of Torsion (without derivation) and related numericals. 6.3 Relationship of H.P.
  • Torsion and RPM and related numericals

Unit 7 Simple Lifting Machine

4 lecture hours

  • 7.1 Describe the components of the given lifting machine. 7.2 Determine mechanical advantage
  • velocity ratio
  • efficiency and law of the given simple lifting machines. 7.3 Compare reversible & irreversible machines. 7.4 Select the relevant eco-friendly lifting machine required for the given purpose with justification

Unit 8 Mechanical Properties and Tests on Metals

8 lecture hours

  • Classification of engineering materials. 7.2
  • Physical properties of material: Elasticity
  • Hardness etc. 7.3
  • Testing of materials for impact value (Izod impact and Charpy impact test) and hardness (Brinell and Rockwell hardness test). 7.4
  • Factors affecting selection of materials
  • To be Covere d in Laborat ory

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