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SHEAR STRESS & STRAIN || Introduction || UNIT - 1 || MECHANICAL ENGG 4TH SEM || 2026 - 27

Автор: AS TECHNIC

Загружено: 2025-12-30

Просмотров: 234

Описание: इस वीडियो में Strength of Materials के Unit–1: Stresses and Strains को आसान और स्पष्ट हिंदी भाषा में समझाया गया है।
यह वीडियो MECHANICAL Engineering 4th Semester (Polytechnic / Diploma) के छात्रों के लिए बहुत उपयोगी है।
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UNIT-I: Stresses and Strains: Stress, Strain and their nature; Mechanical properties of common engineering materials; Significance of various points on stress – strain diagram for M.S. and C.I. specimens; Significance of factor of safety; Relation between elastic constants; Stress and strain values in bodies of uniform section and of composite section under the influence of normal forces; Thermal stresses in bodies of uniform section and composite sections; Related numerical problems on the above topics.

Unit-II: Strain Energy: Strain energy or resilience, proof resilience and modulus of resilience; Derivation of strain energy for the following cases: i) Gradually applied load, ii) Suddenly applied load, iii) Impact/ shock load; Related numerical problems. Principal stresses Concept of principal stresses, Principal Planes and maximum shear stresses for the bodies subjected to direct and shear stresses, determination by mohr's circle method. Thin Cylindrical Shells: Explanation of longitudinal and hoop stresses in the light of circumferential and longitudinal failure of shell.

Unit-III: Shear Force & Bending Moment in beams: Introduction of Beams, Types of Beams, Types of Loads – Point load, UDL and UVL; Definition, explanation and relation of shear force and bending moment; Calculation of shear force and bending moment and drawing the S.F and B.M. diagrams by the analytical method only for the following cases: a) Cantilever with point loads, b) Cantilever with uniformly distributed load, c) Simply supported beam with point loads, d) Simply supported beam with UDL, e) Combination of point and UDL for the above; Related numerical problems.

Unit-IV: Theory of Simple Bending and Deflection of Beams: Explanation of terms: Neutral layer, Neutral Axis, Modulus of Section, Moment of Resistance, Bending stress, Radius of curvature; Assumptions in theory of simple bending; Bending Equation M/I = σ/Y = E/R with derivation; Problems involving calculations of bending stress, modulus of section and moment of resistance; Calculation of safe loads and safe span and dimensions of crosssection; Definition and explanation of deflection as applied to beams; Deflection formulae without proof for cantilever and simply supported beams with point load and UDL only (Standard cases only); Related numerical problems.

Unit-V: Torsion in Shafts and Springs: Definition and function of shaft; Calculation of polar M.I. for solid and hollow shafts; Assumptions in simple torsion; Derivation of the equation T/J=fs /R=Gθ/L; Problems on design of shaft based on strength and rigidity; Numerical Problems related to comparison of strength and weight of solid and hollow shafts; Classification of springs; Nomenclature of closed coil helical spring; Deflection formula for closed coil helical spring (without derivation); stiffness of spring; Numerical problems on closed coil helical spring to find safe load, deflection, size of coil and number of coils.Join this channel to get access to perks:
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SHEAR STRESS & STRAIN || Introduction || UNIT - 1 || MECHANICAL ENGG 4TH SEM || 2026 - 27

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