Strength of material

Properties of Metal stress and Strain

Important Mechanical properties












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


Proof Resilience

Thermal Stress and Strain

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)

Principle Stress/ Principal Strain

Principal Stress

Sign Conventions

Analytic Method Analysis

Graphical method of analysis/Mohr's Circle

Analysis of strain

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

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

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

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

Shear Centre

Distance of shear centre for importatnt section

Channel Section

Semicircular Section

Open Circular Silt

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


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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