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Strength of materials

Updated: May 1, 2020

1.Properties of Metal stress and Strain Important Mechanical properties Elaticity Plasticity Ductility Brittleness Malleability Toughness Hardness Strength Creep Fatigue Resilience Stress and strain Limit of Proportionality Plastic Range Yeild Point Rupture Strength Proof Stress Type of Tension failure in Metal Ductile metal (Shear failure) Brittle metal Type of failure in compession Ductile material Brittle material Behaviour of various material Hooke's Law Axial elogation (∆) of prismatic bar due to external load Deflection of bar (∆) due to self weight Prismatic bar Conical bar Deflection (∆) of Tapered Bar Circular tapering bar Rectangular tapering bar Equivalent Young's Modulus of Parellel Coposite Bar Elastc Constants Poisson's Ratio (μ) Volumetric Strain Tri-Axial Loading Uni-axial Loading on Rectangular Parallelopipe Triaxial loading on Rectangular Parallelopipe Volumetric Strain of Cylindrical bar Matrix Representation of Stress and Strain Relation between E,G,K,μ Strain Energy Resilience Proof Resilience Thermal Stress and Strain 2.Shear Force and bending moment Types of Beam Simply Supported Beam Fixed Beam Cantilever beam Continuous Beam Shear Force Sign Convention Bending Moment Relationship Between Bending Moment (M),Shear Force(S) and loading Rate (w) 3.Principle Stress/ Principal Strain Principal Stress Sign Conventions Analytic Method Analysis Graphical method of analysis/Mohr's Circle Analysis of strain 4.Theory of Failure

Maximum Principal stress theory Maximum Principal strain theory (ST.Vecant's theory) Maximum Shear stress theory (Guest & Tresca's theory) Maximum Strain energy theory (Haigh's theory) Maximum shear strain energy/Distortion energy theory/Mises-Henky theory 5.Deflection of beam Method of Determining Deflection of beam Double integration method Moment area method Stain energy method Conjugate beam method Deflection of Beam Under Different Loading /Support Condition 6.Pressure vessel Types of Pressure Vessels Thin shells Thick shells Nature of stress in thin cylinder shell subjected to internal pressure Analysis of thin cylinder Logitudinal Stress Hoop Stress Logitudinal Strain Hoop strain Ratio of Hoop Strain to Logitudinal Strain Volumetric strain of Cylinder Absolute max shear stress Analysis of thin sphere Hoop Stress/Logitudinal stress Hoop strain/Logitudinal strain Volumetric strain of sphere Analysis of Thick Cylinder/ Lame's Theoram Lame's Assumption Lame's equation Subjected to internal pressure Analysis of Thick Spheres 7.Tortion of Shaft Equation of Tortion Sign Convention Moment of Inertia About Polar Axis For Solid Circular section For Hollow Circular section Compound Shaft Series Connection Parallel Connection Strain energy (U) stored in shaft due to torsion Effect of Pure Bending on shaft Effect of Pure Torsion on shaft Combinde effect of bending and torsion Shear stress Distribution Solid Circular Section Hollow Circular Section Composite Circular Section Thin tubler section Power transmitted in shaft 8.Shear Centre Distance of shear centre for importatnt section Channel Section Semicircular Section Open Circular Silt 9.Columns Strut Buckling Failure : Euler's Theory Assumption of Euler's Theory Limitation of Euler's Formula Euler's load for different column with different end condition Slenderness Ratio (λ) Rankine's Formula Shape of kern in eccentric loading 10.Springs Type of spring on the basis of helix angle Series and parrelel arrangement of springs/Equivalent spring constant Closed coil helical spring under axial pull Strain energy stored in spring (U) Whale's correction factor /stress concentration factor

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