Mechanics of Materials Syllabus for VTU BE/B.Tech Industrial Engineering and Management third sem complete syllabus covered here. This will help you understand complete curriculum along with details such as exam marks and duration. The details are as follows.
| Sub Code | 15 IM/IP 35 | IA Marks | 25 |
|---|---|---|---|
| Hrs/week | 4 | Exam Hours | 3 |
| Total Lecture Hrs | 50 | Exam Marks | 100 |
Module – 1
Simple Stress and Strain: Introduction, Stress and types, Strain, Tensile test on a mild steel bar, Hooke’s Law
and Poisson’s ratio, Stress-Strain relation for cast iron and non-ferrous materials, Extension / Shortening of bars
– uniform cross section, with cross sections varying in steps, with continuously varying cross sections (circular
and rectangular), Principle of superposition, Elongation due to self weight.
Volumetric strain, expressions for volumetric strain for bars with uniform circular and rectangular cross sections,
Simple shear stress and shear strain, Elastic constants (No derivation for relationship between elastic constants),
Temperature stresses (excluding compound bars). Simple numerical problems on tensile test and determining
change in dimensions. [10 hours]
Module – 2
Module – 3
Bending Moment and Shear Force in Beams: Introduction – types of beams, loads and reactions, Shear
force and bending moment, Sign conventions, Relationship between load intensity, shear force and bending
moment; 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. [10 hours]
Module – 4
Bending Stresses in Beams: Moment of inertia and section modulus for different sections (I, T, rectangular, and
circular – only formulas) Introduction to theory of simple bending, assumptions in simple bending theory,
Bending stress equation – relationship between bending stress and radius of curvature, relationship between
bending moment and radius of curvature; Moment carrying capacity of a section. Simple problems on
rectangular, symmetrical I (about NA) and T sections. (composite / notched beams not included). [10 hours]
Module – 5
Deflection of Beams: Introduction, Differential equation for deflection (flexure), Sign conventions and
assumptions, Equations for deflection and slope – Double integration method and Macaulay’s method for
cantilever and simply supported beams for point load, uniformly distributed load, uniformly varying load, and
couple. [10 hours]
Texts:
- Fundamentals of Strength of Materials – P N Chandramouli; PHI Learning Pvt. Ltd., 2013
- Strength of Materials – R K Rajput; S. Chand and Company Pvt. Ltd. 2014
References:
- Mechanics of Materials – R C Hibbeler; Pearson, Latest edition
- Mechanics of Materials – James M Gere; Thomson Learning, Latest edition
- Mechanics of Materials – Ferdinand Beer, Russell Johston, John Dewolf, David Mazurek; McGraw Hill Education (India) Pvt. Ltd., Latest edition
Note: Two questions of 20 marks each to be set from each module. Student is required to answer FIVE full questions choosing one question from each module. There should not be mix of questions from modules. However, questions within the module can be mixed.
Course Outcomes:
At the end of this course students will be able to:
- Explain the fundamental concepts of stress and strain and the relationship between both through the strain -stress equations in order to solve problems for simple elastic solids.
- Determine different stresses induced in cylinders carrying fluids at a pressure.
- Explain the phenomena of torsion in circular shafts and determine the power transmitted by solid and hollow circular shafts.
- Explain the concept of buckling in columns and be able to compute buckling load using Euler’s and Rankine’s equations.
- Explain the concept of bending in beams and determine the shear force and bending moment in beams subjected to different types of loads.
- Explain the theory behind deflection of beams and determine the deflection amount caused by different loads.
For all other BE/B.Tech 3rd Sem Subject syllabus do follow VTU 3rd Sem BE / B.Tech Syllabus CBCS (2015-16) Scheme for Industrial Engineering and Management Group.
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