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