Mechanics of Solids
Course Code: CE 201
Session: Offered in Odd Semesters (Ongoing Session: July 2024 – Nov 2024)
Pre-requisite: None
Outcome: Upon completion of the Solid Mechanics course, students will be able to:
1. Compute axial stress and strains for various structures using Hooke's Law.
2. Analyze stresses and strains in symmetrical beams, both single material and composite, under transverse loading.
3. Determine shear stress and strains on different cross-sections of beams and structures, including those with circular or annular cross-sections under torsion.
4. Evaluate stresses and strains in thin-walled pressure vessels and combine these stresses for complex loading conditions using Mohr's circle.
5. Identify basic modes of structural failure, apply failure theories to assess failure conditions, and establish safety factors for simple structural systems.
Brief Overview of Modules :
Module 1 Stresses and strains, stress-strain diagrams, working stress, a factor of safety.
Module 2 Composite bars in tension and compression, thermal stresses and strain, Strain energy, and relation between elastic constants.
Module 3 Plane stress and plane strain, Stress Tensor, principal stresses and strains, Mohr’s circle. Theories of elastic failures.
Module 4 Stresses in thin-walled pressure vessel, Torsion of circular shafts.
Module 5 Bending moment and shear force diagrams for beams. Simple theory of bending, bending, and shear stresses in beams.
Module 6 Slope and deflection of beams by double integration, area moment, and conjugate beam methods.
Module 7 Theories of thin and thick cylinders.
Assessment Scheme: Quizzes, Assignments, Tutorials, Mid-terms and End-terms.
Lecture Materials :
L1: Introduction to Statics
L2: Concept of Stresses
L3: Concept of Strains
L4: Axially Loaded Members
L5: Displacement Examples
L6: Thermal Stresses
L7: Strain Energy
L8: Force Method of Analysis and Stress Transformation
L9: Stress Transformation
L10: Shear Stress
L11: Mohr's Circle
L12-13: Revision Numericals
L14: Shear force and Bending moment
L15: Symmetric member in pure bending
L16: Relations among Loads, Shear and Bending moment
L17: Deflection - Double Integration Method
L18: Deflection-Moment Area Method
L19: Examples for SMD BMD
L20: Examples for SMD BMD
L21: Torsion
L22: Shearing Stress
L23: Composite shafts
L24: Thick and thin cylinders
Text Books and Other reference materials :
Ferdinand Beer, E Johnston, Russel Dewolf, David Mazurek. Mechanics of Materials, 5th Edition, McGraw Hill
Abdul Mubeen. Mechanics of Solids 2nd Edition, Pearson
R.C. Hibbeler, Mechanics of Materials, 8th Edition, Prentice Hall
L.S. Srinath, Advanced Mechanics of Solids, McGraw Hill
Continuous Evaluation :