MECHANICS OF MATERIALS(18ME32)

MECHANICS OF MATERIALS

Course Code:18ME32 CIE Marks:40SEE Marks:60Teaching Hours/Week (L:T:P):3:2:0 Credits:04 Exam Hours:03

Course Learning Objectives:

• To know the different types of stresses and strains developed in the member subjected to axial, bending, shear, torsion & thermal loads.
• To know behaviour & properties of engineering materials.
• To understand the stresses developed in bars, compounds bars, beams, shafts, and cylinders.
• To understand the concepts of calculation of shear force and bending moment for beams with different supports.
• To expose the students to concepts of Buckling of columns and strain energy.

Module-1

Stresses and Strains: Introduction, Properties of materials, Stress, Strain and Hooke’s law, Stress strain diagram for brittle and ductile materials, True stress and strain, Calculation of stresses in straight, Stepped and tapered sections, Composite sections, Stresses due to temperature change, Shear stress and strain, Lateral strain and Poisson’s ratio, Elastic constants and relations between them.

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Module-2

Analysis of Stress and Strain: Introduction to three dimensional state of stress, Stresses on inclined planes, Principal stresses and maximum shear stress, Principal angles, Shear stresses on principal planes, Maximum shear tress, Mohr circle for plane stress conditions.
Cylinders: Thin cylinder: Hoop’s stress, maximum shear stress, circumferential and longitudinal strains, Thick cylinders: Lames equations.

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Module-3

Shear Force and Bending Moment: Type of beams, Loads and reactions, Relationship between loads, shear forces and bending moments, Shear force and bending moments of cantilever beams, Pin support and roller supported beams subjected to concentrated loads, uniformly distributed constant / varying loads.
Stress in Beams: Bending and shear stress distribution in rectangular, I and T section beams.

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Module-4

Theories of Failure: Maximum Principal stress theory, Maximum shear stress theory.
Torsion: Circular solid and hallow shafts, Torsional moment of resistance, Power transmission of straight and stepped shafts, Twist in shaft sections, Thin tubular sections, Thin walled sections.

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Module-5

Columns: Buckling and stability, Critical load, Columns with pinned ends, Columns with other support conditions, Effective length of columns,
Secant formula for columns.
Strain Energy: Strain energy due to axial, shear, bending, torsion and impact load. Castigliano’s theorem I and II and their applications.

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Course Outcomes: At the end of the course, the student will be able to:

• CO1: Understand simple, compound, thermal stresses and strains their relations and strain energy.
• CO2: Analyse structural members for stresses, strains and deformations.
• CO3: Analyse the structural members subjected to bending and shear loads.
• CO4: Analyse shafts subjected to twisting loads.
• CO5: Analyse the short columns for stability.

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 a 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.

Textbook/s

1 Mechanics of Materials J M Gere, B J Goodno, Cengage Eighth edition 2013
2 Fundamentals of Strength of Materials P N Chandramouli PHI Learning Pvt. Ltd 2013
3 Strength of Materials R K Rajput S. Chand and Company Pvt. Ltd 2014

Reference Books

1 Strength of Materials R. Subramanian Oxford 2005
2 Strength of Materials S. S. Ratan Tata McGraw Hill 2nd Edition, 2008
3 Mechanics of materials Strength of Materials S C Pilli and N Balasubramanya Cengage 2019
4 Mechanics of Materials Ferdinand Beer, Russell Johston, John Dewolf, David Mazurek McGraw Hill Education (India) Pvt. Ltd Latest edition
5 Mechanics of Materials R C Hibbeler Pearson Latest edition