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Mechanics Of Solids - MET201

8 modules

Malayalam

Access till 2024-12-31

Overview

Mechanics Of Solids - MET201 helps the students to understand the concept of stress and strain in different types of structures/machines under various loading conditions. The course also covers simple and compound stresses due to forces, stresses and deflection in beams due to bending, torsion in circular sections, strain energy, different theories of failure, and the stress in thin cylinders thick cylinder and spheres due to external and internal pressure.

Modules

Module 1

11 attachments • 4 hrs

Introduction; Stress analysis; Method of section

Preview

Stress at a point or Stress tensor; Equality of cross shears

Preview

Differential equations in Equilibrium; Cauchy's Equation

Problems on Cauchy's Equation and Equilibrium Equations

Displacement Field; Strain - Displacement relationship; Shear strain

Problems based on Displacement Field; Strain - Displacement relationship; Shear strain (Part 1)

Problems based on Displacement Field; Strain - Displacement relationship; Shear strain (Part 2)

Plane stress and Plane strain; Principal planes and Principal stresses; Mohr's Circle (Theory and Problems)

Problems on finding Principal stress using Mohr's Circle (Graphical method) and Analytical method

Notes - Module 1

15 pages

Assignment 1 (with key)

3 pages

Module 2

13 attachments • 4 hrs

Introduction to stress and strain; Types of strain

Stress - Strain diagram; Hooke's law; Modulus of elasticity

Lateral strain

Relation between Elastic constants and Poisson's ratio

Problems related to Elastic constants and Poisson's ratio

Working stress; Deformation of axially loaded bar with uniform and varying cross section (Derivations and Problems)

Problems related to axially loaded bar (Part 1)

Problems related to axially loaded bar (Part 2)

Problem related to axially loaded bar (Part 3); Analysis of uniformly tapering circular rod

Thermal stress (Theory and Problem); Thermal stresses in composite bar

Thermal stresses in composite bar (Problems)

Notes - Module 2

39 pages

Assignment 2 (with key)

4 pages

Module 3

26 attachments • 9 hrs

Introduction; Assumptions for shafts subjected to torsion

Derivation of torsion formula

Maximum torque transmitted by solid and hollow circular shafts

Problems based on hollow and solid circular shafts (Part 1)

Problem based on hollow and solid circular shafts (Part 2)

Problems based on hollow and solid circular shafts (Part 3)

Polar modulus; Strength of shaft and torsional rigidity

Beams and Types of beams; Types of loading on beams

Shear force and Bending moment; Relation between load, shear force and bending moment

Problems based on Shear force diagram and Bending moment diagram (Cantilever beam - Part 1)

Problems based on Shear force diagram and Bending moment diagram (Cantilever beam - Part 2)

Problems based on Shear force diagram and Bending moment diagram (Cantilever beam - Part 3)

Problem based on Shear force diagram and Bending moment diagram (Simply supported beam - Part 1)

Problem based on Shear force diagram and Bending moment diagram (Simply supported beam - Part 2)

Problems based on Shear force diagram and Bending moment diagram (Simply supported beam - Part 3)

Problem based on Shear force diagram and Bending moment diagram (Overhanging beam - Part 1)

Problem based on Shear force diagram and Bending moment diagram (Overhanging beam - Part 2)

Pure bending or Simple bending; Assumptions and limitations of pure bending

Flexural formula; Section modulus

Problems related to bending stress (Part 1)

Problems related to bending stress (Part 2)

Problems related to composite beams; Shear stress in beam

Problems related to shear stress in beams (Part 1)

Problems related to shear stress in beams (Part 2); Moment curvature relationship

Notes - Module 3

41 pages

Assignment 3 (with key)

10 pages

Module 4

9 attachments • 2 hrs

Introduction; Strain energy due to axial load; Strain energy due to shear load

Strain energy due to bending moment; Strain energy due to torque; Castigliano’s theorem

Problems related to Strain Energy (Part 1)

Problems related to Strain Energy (Part 2)

Deflection of beams using Macauley’s method (Part 1)

Deflection of beams using Macauley’s method (Part 2)

Strain energy and Complementary energy; Reciprocal relation

Notes - Module 4

12 pages

Assignment 4 (with key)

2 pages

Module 5

11 attachments • 3 hrs

Introduction; Columns and Types of columns; Failure of columns; Assumptions in Euler's column theory

Expression for Crippling Load (Part 1)

Expression for Crippling Load (Part 2); Kern of Section

Problems related to Euler's Column Theory (Part 1)

Problems related to Euler's Column Theory (Part 2)

Rankine's Formula; Limitations of Euler's theory

Problems related to Rankine's Formula

Theories of Failure

Problems related to Theories of Failure

Notes - Module 5

18 pages

Assignment 5 (with key)

2 pages

Live Session

12 attachments • 9 hrs

MET201 - 10.10.2022

MET201 - 21.10.2022

MET201 - 27.10.2022

MET201 - 01.11.2022

MET201 - 10.11.2022

MET201 - 24.11.2022

MET201 - 07.12.2022

MET201 - 17.12.2022

MET201 - 27.12.2022

MET201 - 03.01.2023

Live - 04.01.2023 Part 1

Live - 04.01.2023 Part 2

The Final Lap

3 attachments • 2 hrs

Session 1 - MET201

Session 2 - MET201

Session 3 - MET201

Solved Previous Year University QP

2 attachments

MET201 December 2020

28 pages

MET201 December 2021

20 pages

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₹ 899.00

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