# 18AE33/18AS33: Mechanics of Materials AERO Syllabus for BE 3rd Sem 2018 Scheme VTU

Mechanics of Materials detailed Syllabus for Aeronautical Engineering (AERO), 2018 scheme has been taken from the VTUs official website and presented for the VTU students. For Course Code, Subject Names, Teaching Department, Paper Setting Board, Theory Lectures, Tutorial, Practical/Drawing, Duration in Hours, CIE Marks, Total Marks, Credits and other information do visit full semester subjects post given below. The Syllabus PDF files can also be downloaded from the official website of the university.

For all other VTU AERO 3rd Sem Syllabus for BE 2018 Scheme, do visit VTU AERO 3rd Sem Syllabus for BE 2018 Scheme Subjects. The detailed Syllabus for mechanics of materials is as follows.

#### Course Objectives:

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#### Module 1

Basics of linear elasticity: The concept of stress& strain, state of stress & Strain at a point, Equilibrium equations, The state of plane stress and plane strain. Compatibility equations, Constitutive Laws (Hooke’s Law), Stress-strain curves for brittle and ductile materials, Allowable stress, Material selection for structural performance. Simple & Compound Stresses: Extension / Shortening of a bar, bars with cross sections varying in steps, bars with continuously varying cross sections. Elongation due to self-weight. Volumetric strain, expression for volumetric strain, elastic constants, simple shear stress, shear strain, temperature stresses, Introduction to Plane stress, stresses on inclined sections, principal stresses & strains, Analytical & graphical method (Mohr’s Circle) to find principal stresses & strains.

#### Module 2

Bending Moment and Shear Force in Beams: Introduction, Types of beams, loads and reactions, shear forces and bending moments, rate of loading, sign conventions, relationship between shear force and bending moments. Shear force and bending moment diagrams for different beams subjected to concentrated loads, uniformly distributed load, (UDL) uniformly varying load (UVL) and couple for different types of beams. Euler-Bernoulli beam theory: The Euler-Bernoulli assumptions, Implications of the Euler-Bernoulli assumptions, the Euler-Bernoulli Beam theory derivation, Bending stress equation, Moment carrying capacity of a section. Shearing stresses in beams, shear stress across rectangular, circular, symmetrical I and T sections (Only Numerical).

#### Module 3

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#### Module 4

Virtual work principles: Introduction, Equilibrium and work fundamentals, Principle of virtual work, Principle of virtual work applied to mechanical systems, Principle of virtual work applied to truss structures, Principle of virtual work applied to beams. Principle of complementary virtual work, internal virtual work in beams and solids. Energy methods: Conservative forces, Principle of minimum total potential energy, Strain energy in springs, Strain energy in beams, Strain energy in solids, Applications to trusses, Development of a finite element formulation for trusses, Principle of minimum complementary, Energy theorems, Reciprocity theorems, SaintVenant’s principle.

#### Module 5

Mechanical Properties of materials: Fracture: Type I, Type II and Type III. Creep: Description of the phenomenon with examples. Three stages of creep, creep properties, stress relaxation.
Fatigue: Types of fatigue loading with examples, Mechanism of fatigue, fatigue properties, fatigue testing and S-N diagram.

#### Course Outcomes:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
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#### Question paper pattern:

• The question paper will have ten full questions carrying equal marks.
• Each full question will be for 20 marks.
• There will be two full questions (with a maximum of four sub- questions) from each module.
• Each full question will have sub- question covering all the topics under a module.
• The students will have to answer five full questions, selecting one full question from each module

#### Text Books:

1. Strength of Materials S. S. Bhavaikatii Vikas Publications House, New Delhi 2012
2. Strength of Materials S. Ramamrutham Dhanapath Rai Publishing Company 2012

#### Reference Books:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.
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For detail Syllabus of all other subjects of BE 3rd Sem Aeronautical Engineering, visit (AERO) 3rd Sem Syllabus Subjects.

For all (CBSE & Non-CBSC) BE results, visit VTU BE all semester results direct links.