Rigid bodies and deformable bodies – Strength, stiffness and stability – Normal stress and normal strain - Shear stress and shear strain – Hooke’s law - Axial deformation of prismatic bar - Stepped bar – Tapered bar – Determinate and indeterminate bars – Poisson’s ratio - Mechanical properties of materials - Elastic constants and their relationships – Factor of safety. Lab Experiments: • Tension test on mild steel specimen using Universal Testing Machine • Verification of Lami’s theorem.
Types of beams, loads and reactions – Determinate beams: Cantilever, Simply supported and Overhanging beams - Shear force diagram and Bending moment diagram – Relationship among loads, shear forces and bending moments – Symmetric bending – Bending normal stress – Bending shear stress. Lab Experiments: • Calculation of Shear force and Bending Moment using open software Deflection test on a cantilever beam
Deflection of determinate beams: Cantilever, Simply supported and Overhanging beams - Differential equations of the deflection curve – Double integration method – Macaulay’s method – Buckling of long columns – Euler’s theory – Long columns with different end conditions – Rankine’s formula. Lab Experiments: • Deflection test on a simply supported beam • Buckling of long columns and construction of Southwell plot
Torsional deformations of a circular shaft – Torsional shear stress – Angle of twist – Transmission of power by circular shafts – Solid and hollow shafts – Stepped shaft - Application to close-coiled helical springs – Axial loading – Design of close-coiled helical springs. Lab Experiments: • Stiffness of a close-coiled helical spring by tension and compression test • Torsion test on mild steel
Plane stress – Principal planes - Principal stresses and maximum shear stress –Mohr’s circle for plane stress – Stresses in thin-walled pressure vessels – Stresses and deformations in thin cylindrical and spherical shells subjected to internal pressure. Lab Experiments: • Stresses in thin-walled cylindrical shell subjected to internal pressure
Reference Book:
1. Ferdinand P. Beer, Russell Johnston, John T. DeWolf, David F. Mazurek, “Mechanics of Materials”, 8th edition, 2020, McGraw Hill Education 2. R. C. Hibbeler, “Mechanics of Materials”, 10th edition, 2016, Pearson 3. Bansal, R. K., “Strength of Materials”, Laxmi Publications (P) Ltd., 2016 4. Jindal U.C., “Strength of Materials”, Asian Books Pvt Ltd., New Delhi, 2012 5. Subramanian R., “Strength of Materials”, Oxford University Press, Oxford Higher Education Series, 2016
Text Book:
1. Rajput, R.K., “Strength of Materials”, S. Chand and Company Ltd., 7th Ed. New Delhi, 2018 2. Barry J. Goodno, James M. Gere, “Mechanics of Materials”, 9th edition, 2018, Cengage Learning