Apr 17, 20202 min

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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