Mechanics of Solids basics

Engineering

2023-12-01

Lessons List

Mechanics of Solid by Engineering Funda

Simple Stress and Strain

Types of Stresses and Strains

Examples on Stress and Strain

Elastic Body Elasticity Limit of Elasticity Hooke s Law

Modulus of Elasticity Modulus of Rigidity Factor of Safety

Longitudinal Strain Lateral Strain Poisson s Ratio

Constitutive Relationship between Stress and Strain

Prismatic and Non Prismatic Bars Composite and Compound Bars

Stresses in Bars of Varying Sections

Principle of Superposition Example based on Principle of superposition

Example based on Superposition 1

Examples based on Principle of Superposition 2

Stresses in Uniformly Tapering Circular Rod

Stresses in Uniformly Tapering Rectangular Bar

Examples based on Circular and Rectangular Tapering Bar

Analysis of Composite Sections CompositeSections Stress ModularRatio Strain

Examples based on Composite Sections CompositeSections Stress VaryingLength Strain Problem

Thermal Stresses Thermal Strain Thermal Stress Temperature Strain

Examples based on Thermal Stresses ThermalStresses TemperatureStresses Problems

Thermal Stresses in Composite Bars ThermalStresses CompositeBars

Examples based on Thermal Stresses in Composite Bars ThermalStresses CompositeSection Problems

Types of Supports Types of Beams Types of Loads

Moment of a Force Definition of moment of force Magnitude Direction of moment of force

Examples based on Reaction of Beam 1 Examples on support reaction of beam BeamReaction

Examples based on Reaction of Beam 2 Examples on support reaction of beam BeamReaction

Example based on Reaction of Beam 3 Examples on support reaction of beam BeamReaction

Examples based on Reaction of Beam 4 Examples on support reaction of beam BeamReaction

Examples based on Reaction of Beam 5 Examples on support reaction of beam BeamReaction

Examples based on Reaction of Beam 6 BeamReaction Examples Problems

Relation between Shear Force and Bending Moment ShearForce BendingMoment

Sign Convection for SF BM Important Points for Drawing SFD and BMD Point of Contra flexure

Shear Force Bending Moment Shear Force Diagram and Bending Moment Diagram

Examples on Shear Force and Bending Moment Diagram 1 ShearForceDiagram BendingMomentDiagram

Examples on Shear Force and Bending Moment Diagram 2 ShearForceDiagram BendingMomentDiagram

Examples on Shear Force and Bending Moment Diagram 3 ShearForceDiagram BendingMomentDiagram

Examples on Shear Force and Bending Moment Diagram 4 ShearForceDiagram BendingMomentDiagram

Examples on Shear Force and Bending Moment Diagram 5 ShearForceDiagram BendingMomentDiagram

Examples on Shear Force and Bending Moment Diagram 6 ShearForceDiagram BendingMomentDiagram

Examples on Shear Force and Bending Moment Diagram 7 ShearForceDiagram BendingMomentDiagram

Examples on Shear Force and Bending Moment Diagram 8 ShearForceDiagram BendingMomentDiagram

Examples on Shear Force and Bending Moment Diagram 9 ShearForceDiagram BendingMomentDiagram

Examples on Shear Force and Bending Moment Diagram 10 ShearForceDiagram BendingMomentDiagram

Examples on Shear Force and Bending Moment Diagram 11

Force and Characteristics of Force Force

Types of Forces 1 in Mechanics of Solids

Types of Forces 2 in Mechanics of Solids

Part 1 System of Forces in Mechanics of Solids

Part 2 System of Forces 2 in Mechanics of Solids

Principle of Superposition of Forces Principle of Transmissibility of Forces Resultant of Forces

Composition of Forces and Parallelogram Law of Forces

Examples based on Parallelogram Law of Forces

Triangle Law of Forces

Resolution of a Forces

Examples based on Resolution of a Forces

Resolution of more then two concurrent forces and Condition of Equilibrium

Examples based on Resolution of more then two concurrent forces in Mechanics of Solid

Polygon Law of Forces Graphical Method in Mechanics of Solid

Free Body Diagram in Mechanics of Solid

Lami s Theorem and Proof of Lami s Theorem

Examples based on Lami s Theorem LamisTheorem

Types of Equilibrium

Couple Types of Couple Arm of Couple Moment of Couple Example of Couple Couple

Varignon s Principle of Moments

1 Examples based on Co planar Non concurrent forces

2 Examples based on Co planner Non Concurrent Forces

3 Examples based on Co planner Non Concurrent Forces

Introduction to Centroid and Centre of Gravity

Equation for Center of Mass Center of Area and Center of Volume

Axis of Reference Axis of Symmetry and Centroid of Gravity of Composites

Centroid of Standard Shapes

Centroid of Standard Shapes Two Dimensional Figure

Centroid of Standard Shapes

Centroid Center of Gravity of Composites

Examples based on Centroid of Composite Linear Elements

1 Examples based on Composite Area

2 Examples based on Composite Area

3 Examples based on Composite Area

1 Examples based on C G of Composite Volume

2 Examples based on C G of composite Volume

Introduction to Moment of Inertia

Radius of Gyration and Section of Modulus

Moment of Inertia of Rectangular Section

Parallel Axis Theorem

Perpendicular Axis Theorem

Moment of Inertia of Some Standard Sections

Moment of Inertia for Circular Lamina

Examples based Moment of Inertia – 1

Examples based Moment of Inertia – 2

Examples based on Moment of Inertia 3

Examples based Moment of Inertia – 4

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