1010233110 Mechanics of Materials L T P C
Theory
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3 Unit I SIMPLE STRESSES AND STRAINS
1. INTRODUCTION TO STRESSES AND STRAINS
Definitions of Force, Moment of force – Types of forces on structural members-Mechanical properties of materials –Rigidity, Elasticity, Plasticity, Compressibility, Hardness, Toughness, Stiffness, Brittleness, Ductility, Malleability, Creep, Fatigue, Tenacity, Durability- Definitions of stress and strain-Types of stresses, Tensile, Compressive and Shear stresses- Types of strains-Tensile, Compressive and Shear strains-Elongation and Contraction-Longitudinal and Lateral strains–Poisson’s Ratio-Volumetric Strain-Simple problems in computation of stress, strain, Poisson’s ratio. Hooke’s law-Elastic Constants Definitions of: Young’s Modulus of Elasticity–Shear modulus(or)Modulus of Rigidity-Bulk Modulus –Relationship between elastic constants (Derivations not necessary)-Simple problems.
9 Unit II SHEAR FORCE AND BENDING MOMENT IN BEAMS
2.1 TYPES OF BEAMS AND LOADS
Definition of a beam–Support conditions and diagrammatic representation – Types of supports-Types of beams based on support conditions–Diagrammatic representation of beams–Static equilibrium equations–Determinate and indeterminate beams- Load-Axial Loads-Transverse Loads-Types of loads(Concentrated, uniformly distributed and varying loads)- Diagrammatic representation of beams with different loads.
2.2 SHEAR FORCE AND BENDING MOMENT
Definition of Shear force and Bending Moment–Conventional signs used for S.F. and B.M – SFD &BMD – S.F and B.M of Cantilever beam with endpoint load/UDL for entire span & simply supported beams with central point load/ UDL for entire span and draw SFD&BMD. Numerical problems on SF& BM for cantilever beams (Maximum Three concentrated loads/UDL for entire span / Combination of Maximum Three-point loads with UDL for entire span /UDL for the half-length from fixed end only/. For simply supported beams (Central
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DIRECTORATE OF TECHNICAL EDUCATION, CHENNAI – 600 025
2023 REGULATION 6
point load/Single eccentric point load / Two equal point loads at one-third points /UDL for entire span/Combination of central point load and UDL throughout the beam only). Unit III GEOMETRICAL PROPERTIES OF SECTIONS
3.1 CENTROID
Geometrical properties–Definitions and examples of Symmetrical, Anti Symmetrical, Asymmetrical shapes – Definitions of center of gravity and centroid – Centroid of Symmetrical shapes (square, rectangular, circular,) Numerical problems determination of centroids of T Section and I Sections only.
3.2 MOMENT OF INERTIA
Definitions of: Inertia, Moment of Inertia, Polar moment of inertia, Radius of gyration, Section Modulus, Polar modulus-Parallel and perpendicular axes theorems (statement only) – Numerical problems on M.I about centroidal axis, Section modulus, Radius of gyration of (solid/hollow) square, (solid/hollow) rectangular and(solid/hollow) circular sections (Derivation not required)–Numerical problems on M.I about centroidal axis of T Section and I Sections only.
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Unit IV STRESSES IN BEAMS
STRESSES IN BEAMS DUE TO BENDING
Types of Bending stresses–Neutral axis–Theory of simple bending–Assumptions–Moment of resistance – Flexure/bending equation M / I = E / R = σ/y (Derivation not required)– Bending stress distribution –Curvature of beam–Position of N.A and centroidal axis–Stiffness equation–Flexural rigidity–Strength equation–Significance of Section modulus–Numerical Problem on simply supported beam with symmetrical loads only.
9 Unit V PIN JOINTED FRAMES
ANALYSIS BY ANALYTICAL METHOD(METHODOFJOINTS)
Definitions of: Frame / Truss, Pin Joint, Nodes, Rafters, Ties, Struts, Slings-Determinate and indeterminate frames–Classification of frames-Perfect and imperfect frames–Deficient/Instable and redundant frames-Resolutions of