Syllabus
Unit 1
Stresses in axial members: Normal stress – St. Venant’s principle – normal strain – tension and compression test – stress and strain diagrams – factor of safety – Hooke’s law. Axial deformation – principle of superposition – lateral strain – Poisson’s ratio – shear stress and strain – shear modulus – volumetric strain – bulk modulus – relation between elastic constants. Stresses in joints – shear and bearing stresses – temperature stress and strain – stress concentration.
Unit 2
Stresses in transverse members: Isolation of beam element – intensity of load, shear force and bending moment relation – shear force and bending moment diagrams – bending stresses in transverse members – Euler – Bernoulli’ s simple beam theory – bending stress distribution – shear stresses in transverse members – shear stress distribution. Stresses in torsional members: Torsional shear stress – torsion equation for circular section – polar moment of inertia – torsional deformation – stresses due to combined loading
Unit 3
Deflection in transverse members: Moment-curvature relation – double-integration, Energy Methods: Strain and potential energies, Castigliano’s theorem, Maxwell- Betti’s theorem, unit load method, principle of virtual work, principle of virtual displacement and principle of virtual force.
Objectives and Outcomes
Objectives
Understand the fundamental concepts of stresses and strains and the relationship between both through the strain-stress equations in order to solve problems for simple elastic solids subjected to axial, bending and torsional loads.
Course Outcomes
CO1: Analyse the axial members for stress, strain and deformation.
CO2: Know how to draw Shear Force, Bending Moment, and Horizontal Force diagrams.
CO3: Obtain stresses in beams due to bending deformation.
CO4: Calculate stresses in structural members due to torsional deformation.
CO5: Estimate the deflection in beams using energy methods.
CO-PO Mapping
PO/PSO |
PO1 |
PO2 |
PO3 |
PO4 |
PO5 |
PO6 |
PO7 |
PO8 |
PO9 |
PO10 |
PO11 |
PO12 |
PSO1 |
PSO2 |
PSO3 |
CO |
CO1 |
3 |
3 |
2 |
1 |
– |
– |
– |
– |
– |
– |
– |
2 |
3 |
2 |
– |
CO2 |
3 |
3 |
2 |
1 |
– |
– |
– |
– |
– |
– |
– |
2 |
3 |
2 |
– |
CO3 |
3 |
3 |
2 |
1 |
– |
– |
– |
– |
– |
– |
– |
2 |
3 |
2 |
– |
CO4 |
3 |
3 |
2 |
1 |
– |
– |
– |
– |
– |
– |
– |
2 |
3 |
2 |
– |
CO5 |
3 |
3 |
3 |
2 |
– |
– |
– |
– |
– |
– |
– |
2 |
3 |
2 |
– |
Text Books / References
Text Book(s)
James M Gere, Barry J. Goodno “Mechanics of Materials”, 9th Edition, Cengage Learning, USA, 2017.
Reference(s)
Irving H. Shames and James M. Pitarresi, “Introduction to Solid Mechanics” 3rd edition, Prentice-Hall of India Pvt. Ltd. 2006
Egor P. Popov, “Engineering Mechanics of Solids”, 2nd edition, Prentice-Hall of India Pvt. Ltd.,
S.H. Crandall and N. C. Dahl, “Introduction to Mechanics of Solids”, 3rd Edition, Tata McGraw Hill, India, 2013.
R.C. Hibbeler “Mechanics of Materials”,11th Edition, Pearson Prentice Hall, New Jersey, USA, 2022.