Engineering Mechanics : Statics

Statics

What you'll learn

General Principles and Force Vectors

Particle Equilibrium

Moments of Force System

Rigid Body Equilibrium

Structural Analysis

Internal Forces

Dry Friction

Center’s (center of gravity, centroid, center of volume, etc.)

Moments of Inertia

Requirements

Some basics of Mathematics from the school

Description

This course contains several sections as follows: 1. General Principles and Force VectorsFundamental concepts in MechanicsUnits of Measurements in SI and FPSNumerical calculations and main steps for analysisVectors and ScalarsVector OperationsCoplanar Forces addition and resultantCartesian vectors and their resultantPosition vectorsForce vector along specific line of actionVectors dot product2. Particle Equilibrium and Force SystemParticle idealization and concept of its equilibriumFree body diagram concept of a particle in the 2D and 3D systemsAnalysis of a particle under different coplanar and 3D forcesMoment of a force in scalar formCross product of vectors and its application, especially momentSimplification of a force system and its moment and resultantSimplification of a simple distributed loads3. Rigid Body Equilibrium and Dry Friction Rigid body idealization and its equilibrium conceptFree body diagram of a rigid body in the 2D and 3D systemsDefining rigid body supports in 2D and 3D systemsIdentification of a statically determinacy and constraintsProviding equations of equilibrium for a rigid body in 2D and 3DAnalysis of a rigid body in 2D and 3D systems under different situationsDry friction characteristics and conceptIdentifying and analysis the dry friction problems4. Structural Analysis and Internal ForcesTruss idealization and simple trussZero force memberJoint method analysis for the truss analysisMethod of section for truss analysisSpace trussesFrames and MachinesInternal forces in structural membersShear diagram for BeamsMoment diagram for Beams5. Center of Gravity, Centroid and Moment of Inertia   Centre of gravity of a bodyCentroid and centre of mass of a bodyComposite bodies centres and centroidMoments of Inertia for areas concept and definitionMoments of Inertia for simple area calculationParallel Axes TheoremRadius of gyration for an areaMoment of Inertia for composite areas

Overview

Section 1: General Principles and Force Vectors

Lecture 1 IntroductionIntroduction to Mechanics, units, numerical calculations and mai

Lecture 2 Scalars and Vectors_1

Lecture 3 Scalars and Vectors_2

Lecture 4 Coplanar Forces Addition

Lecture 5 Cartesian Vectors

Lecture 6 Position vectors and force vector along a line _Introduction

Lecture 7 Position vectors and force vector along a line _Examples

Lecture 8 Vectors Dot Product

Section 2: Equilibrium of a particle and Force system Resultants

Lecture 9 Free body diagram and particle equilibrium in 2D

Lecture 10 Particle equilibrium in 3D

Lecture 11 Moment of a force (principle, scalar and vector form) and vector cross product

Lecture 12 Moment about a specific line or axis

Lecture 13 Simplification of force system and couple moment

Lecture 14 A couple moment

Lecture 15 Simplification and reduction of a distributed loading system

Section 3: Rigid Body Equilibrium and Dry Friction

Lecture 16 Free body diagram of a rigid body and its equilibrium in 2D

Lecture 17 Two and three force members

Lecture 18 Analysis of a rigid body using EOE in 2D

Lecture 19 Free body diagram of a rigid body and its equilibrium in 3D

Lecture 20 Analysis of a rigid body using EOE in 3D

Lecture 21 Dry Friction (Characteristics and problems)

Section 4: Structural Analysis and Internal Forces

Lecture 22 Simple Trusses and Method of Joints

Lecture 23 Method of Sections for the analysis of 2D trusses

Lecture 24 Space trusses analysis using the method of joints

Lecture 25 Analysis of Frames and Machines1

Lecture 26 Analysis of Frames and Machines 2

Lecture 27 Method of Sections to Determine Internal Forces

Lecture 28 Shear and Moment Equations and Diagrams

Section 5: Center of Gravity, Centroid and Moment of Inertia

Lecture 29 Concept and definition of centers

Lecture 30 Centers determination using integration

Lecture 31 Centers calculations of composite bodies

Lecture 32 Concept and definition of Moment of Inertia and radius of gyration

Lecture 33 Moment of Inertia determination using integration

Lecture 34 Moment of Inertia for regular shapes

Lecture 35 Moment of Inertia for composite areas

Engineering Students,People who want to prepare for engineering entrance exam and qualification,People who are passionate in learning mechanics