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DI03000201 · Semester 3 · 5G scheme

Basics of Applied Mechanics

Notes and solutions following the Gujarat Technological University (GTU) syllabus for DI03000201. Independent material — not issued by the university.

Mechanical EngineeringMechanical Engineering (CAD/CAM)Mechatronics Engineering

Materials

Syllabus

The official syllabus this material follows.

  • Syllabus

    9 pages

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Complete Book

The whole syllabus, unit by unit, written for the exam.

Slides

Lecture slides for revision.

Past Papers

Original question papers from previous exams.

  • Summer 2026 question paper

    5 pages

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  • Winter 2025 question paper

    4 pages

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PYQ Solutions

Past university papers, fully solved.

  • Solved past papers — detailed answers

    16 pages · English + ગુજરાતી

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Syllabus units

Unit 1: Basics of Mechanics
  • 1.1 Significance and relevance of Mechanics, Applied mechanics, Statics, Dynamics. Space, time, mass, particle, 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 3. Law of Polygon
  • 2.4 Lami's Theorem - statement and explanation, Application for various engineering problems.
Unit 3: Centroid & Centre of Gravity
  • 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, Rectangle, Triangle, Circle, Semi-circle, Quarter-circle) & Composite figures (not more than three figures) using first moment of area.
  • 3.5 Centre of Gravity of Simple solids (Cube, Cuboid, Cone, Cylinder, Sphere, Hemisphere) & Composite solids (not more than two solids) using first moment of mass.
Unit 4: Direct Stress and Strain
  • 4.1 Direct stress, Linear strain, Elasticity, 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, Resilience, Proof resilience and Modulus of resilience with numerical.
Unit 5: Moment of Inertia
  • 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, square, circle, triangle shapes (without derivations).
  • 5.5 Moment of Inertia of symmetrical and asymmetrical I-section, Channel section, T-section, Angle section, Hollow sections and Built-up sections about Centroidal axis and any other reference axis using Parallel axis theorem.
Unit 6: Torsion
  • 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.
  • 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
  • 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
  • 7.1. Classification of engineering materials.
  • 7.2. Physical properties of material: Elasticity, Plasticity, Ductility, Brittleness, Malleability, Fatigue, Creep, Toughness, 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.

About this course

The primary purpose of the study of Basics of Applied Mechanics is to develop the capacity to predict the effects of force while carrying out the creative design functions of engineering. This course is an introduction to learning and applying the principles required to solve engineering mechanics problems. The course addresses the modelling and analysis of static equilibrium problems with an emphasis on real world engineering applications and problem solving. It bridges the gap between physical theory and its application to technology. This course also deals with the behavior of solid materials by studying the distribution of internal forces, the stability and deformation of the materials under the applied loads or forces. To choose proper material by keeping its strength and suitability in mind is very important stage in production and design level in the field of Mechanical Engineering. Hence the course is prerequisite for understanding principles of machine design at various levels.