ME 241 • Midterm • Introduction to Solid Mechanics

Vector Operations, Vector Addition of Forces

Resultant Force Example-1

Vector Components Example

Resultant Force Example-2

Addition of Coplanar Forces

Resultant of Coplanar Forces Example-1

Cartesian Vectors

Cartesian Vectors Example-1

Cartesian Vectors Example-2

Cartesian Vectors Example-3

Position Vectors, Unit Vector and Force Vector Along A Line

Position Vector Example-1

Force Vector Example-1

Position Vector Example-2

Position Vector Example-3

Dot (Scalar) Product of Vectors

Dot Product Example-1

Dot Product Example-2

Dot Product Example-3

Chapter Review

Equilibrium, How to Draw a Free Body Diagram (FBD)

Coplanar Force Systems (Equilibrium in 2D)

Coplanar Force Systems Example-1

Coplanar Force Systems Example-2

Three Dimensional Force Systems (Equilibrium in 3D)

Three Dimensional Force Systems Example-1

Three Dimensional Force Systems Example-2

Chapter Review

What is Moment?

Moment of a Force: Scalar Formulation

Moment of a Force: Vector Formulation

Moment of a Force Example-1

Moment of a Force Example-2

Moment of Force Components: Varignon's Theorem

Moment of Force Components Example

Moment of a Force About an Axis

Moment About an Axis Example

Moment of a Couple

Moment of a Couple Example-1

Moment of a Couple Example-2

Simplification of a Force and Couple System

Reduction to a Given Point Example

Further Simplifications of a Force and Couple System

Reduction to a Single Force Example

Reduction of a Parallel Force System Example

Reduction of a Simple Distributed Loading

Distributed Loading Example

Chapter Review

Equilibrium in Two Dimensions

Free Body Diagram Example-1

Free Body Diagram Example-2

Equations of Equilibrium in 2-D

Equilibrium in 2-D Example-1

Equilibrium in 2-D Example-2

Equilibrium in 2-D Example-3

Equilibrium in 2-D Example-4

Two and Three Force Members

Equilibrium in Three Dimensions

Free Body Diagram in 3-D Example

Equations of Equilibrium in 3-D

Equilibrium in 3-D Example

Constraints and Statical Determinacy

Chapter Review

Simple Trusses, Method of Joints

Method of Joints Example-1

Method of Joints Example-2

Zero Force Members (ZFMs)

Zero Force Members Example

Method of Joints Example-3

Method of Sections

Method of Sections Example-1

Method of Sections Example-2

Space Trusses

Space Trusses Example

Frames and Machines

Frames and Machines Example-1

Frames and Machines Example-2

Frames and Machines Example-3

Chapter Review

Characteristics of Dry Friction

Friction Example-1

Friction Example-2

Wedges

Wedges Example

Frictional Forces on Flat Belts

Friction Belts Example-1

Friction Belts Example-2

Chapter Review

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