Aeronautical Mechanics of Solids

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AERONAUTICAL MECHANICS OF BE03001011
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Code: BE03001011 Credits: 4 Semester 3 Aero

Aeronautical Mechanics of Solids

Get the full GTU study material, English & Gujarati textbook PDFs, syllabus curriculum, and solved previous year question papers.

Aeronautical Mechanics of Solids Syllabus — Unit-wise Content

The official GTU curriculum for Aeronautical Mechanics of Solids (subject code BE03001011) as prescribed for Aero · Semester 3 divides the course into 4 units, covering 58 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 (BE03001011)

Unit 1 Introduction

11 lecture hours

  • Definition of space
  • rigid body
  • deformable body
  • types of forces
  • Characteristics of a force
  • System of forces
  • Composition and resolution of forces
  • Fundamental Principles of mechanics: Principle of transmissibility
  • Principle of superposition
  • Law of gravitation
  • Law of parallelogram of forces
  • Newton’s Laws of Motion Fundamentals of Statics Coplanar concurrent and non-concurrent force system: Resultant
  • Free body diagrams
  • Coplanar concurrent forces: Resultant of coplanar concurrent force system by analytical and graphical method
  • Law of triangle of forces
  • Law of polygon of forces
  • Equilibrium conditions for coplanar concurrent forces
  • Lami’s theorem
  • Application of these principles
  • Coplanar non-concurrent forces: Moments & couples
  • Characteristics of moment and couple
  • Equivalent couples
  • Force couple system
  • Varignon’s theorem
  • Resultant of non-concurrent forces by analytical method and graphical method
  • Equilibrium conditions of coplanar non- concurrent force system
  • Concept of statically determinate and indeterminate problems

Unit 2 Stresses in Beams

6 lecture hours

  • Flexural stresses – Theory of simple bending
  • derivation of equation of bending
  • neutral axis
  • determination of bending stresses
  • section modulus of rectangular & circular (solid & hollow), I, T, Angle
  • channel sections Shear stresses – Derivation of formula
  • shear stress distribution across various beam sections like rectangular
  • triangular, I, T, angle sections

Unit 3 Centroid, moment of inertia and mass moment of inertia

14 lecture hours

  • Centroid: Centroid of lines
  • plane areas and volumes
  • Examples related to centroid of composite geometry
  • Pappus – Guldinus first and second theorems
  • Moment of inertia of planar cross-sections: Derivation of equation of moment of inertia of standard lamina using first principle
  • Parallel & perpendicular axes theorems
  • polar moment of inertia
  • radius of gyration of areas
  • section modulus
  • Examples related to moment of inertia of composite geometry Torsion: Derivation of equation of torsion
  • application of theory of torsion equation to solid & hollow circular shaft
  • torsional rigidity Program Name: Bachelor of Engineering Level: UG Subject Code : BE03001011 Subject Name : Aeronautical Mechanics of Solids

Unit 4 Simple stresses & strains

14 lecture hours

  • Basics of stress and strain: 3-D state of stress (Concept only) Normal/axial stresses: Tensile & compressive Tangential Stresses :Shear and complementary shear Strains: Linear
  • thermal and volumetric
  • Hooke’s Law, Elastic Constants: Modulus of Elasticity
  • Poisson’s Ratio
  • Modulus of Rigidity and Bulk Modulus and Relations between them with Derivation
  • Application of normal stress & strains: Homogeneous and composite bars having uniform & stepped sections subjected to axial loads and thermal loads
  • analysis of homogeneous prismatic bars under multidirectional stresses Principal stresses: 2-d system
  • stress at a point on a plane
  • principal stresses and principal planes
  • Mohr’s circle of stress
  • ellipse of stress and their applications

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