# Strength of Materials for MSBTE I Scheme (III - ME - 22306)

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Unit - I Moment of Inertia 1.1 Concept of Moment of Inertia (MI), Effect of MI in case of beam and column. 1.2 MI about axes passing through centroid, Parallel and Perpendicular axes theorem, Polar MI, radis of gyration. 1.3 MI of standard basic shapes. 1.4 MI of Composite plane figures. Unit - II Simple Stress and Strains 2.1 Equilibrium, Rigid body, Deformable body. 2.2 Axial Stress-meaning, Resistance, Types of stresses; Axial (linear) Strain-concept, types. 2.3 Hooke's Law, Young's Modulus, Axial deformation in a body and bodies in series. 2.4 Behavior of ductile and brittle materials subjected to axial tension, stress-strain or Load-deformation curve, Limit of proportionality, yielding, permanent set, yield stress, ultimate stress. 2.5 Shear stress and shear strain, Modulus of rigidity, punching shear, shear connectors, single and double shear. 2.6 Temperature stress and strain in case of bodies having uniform cross-section, deformation fully prevented, field examples. Unit - III Mechanical Properties and Elastic Constants of Metals 3.1 Types of loads (actions) and related deformations, Flexure, torsion, shear. 3.2 Mechanical properties : Elasticity, Plasticity, Ductility, Brittleness, Malleability, Fatigue, Creep, Toughness, Hardness. 3.3 Strength, Factor of Safety, Stiffness and flexibility. 3.4 Linear and lateral strain, Poisson's ratio, changes in lateral dimension. 3.5 Uni-Bi-Tri-axial stress systems, strain in each direction, Bulk modulus, volumetric strain. 3.6 Relation between three moduli. 3.7 Stress due to Gradual, Sudden and Impact load, corresponding deformation. strain Energy, Resilience, Proof Resilience and Modulus of resilience. Unit - IV Shear Force-Bending Moment and Shear Stresses-Bending Stresses 4.1 Types of Beams (Simple supported with or without overhang, Cantilever), Types of loads (Point load, Uniformly Distributed load), Bending of beam, deflected shape. 4.2 Meaning of SF and BM, Relation between them, Sign convention. 4.3 SFD and BMD, Location of point of maximum BM, Deflected shape from BMD, Location of Point of Contra-flexure. 4.4 Theory of simple bending, Assumptions in theory of bending, Flexural formula, Neutral axis. 4.5 Moment of resistance, Section modulus. 4.6 Bending stress variation diagram across depth for cantilever and simply supported beam for symmetrical and unsymmetrical sections. 4.7 Transverse shear stress, average and maximum shear stress, Shear stress variation diagram. Unit - V Torsion 5.1 Torsion : Concept, field applications (Shaft, flange couplings, shear bolts), torsional rigidity, torsional equation and assumptions. 5.2 Torsional resistance for hollow and solid circular shafts, Power transmitted by shaft, replacement of section. Unit - VI Direct and Bending Stresses 6.1 Axial and eccentric load, effects of eccentricity, Field cases (Hook, clamp, Bench Vice, Frame etc). 6.2 Axial stress and bending stress, resultant stress intensities, resultant stress variation (Eccentricity about one axis only). 6.3 Limiting eccentricity, Core of section. 6.4 No tension condition.

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