Engineering Mechanics: Unit III: Distributed Forces

Centroid

Introduction

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In previous chapters, the forces were considered to act at a point.

UNIT - III

Centroid

Syllabus: Centroids of lines and areas - symmetrical and unsymmetrical shapes, Determination of Centroids by Integration, Theorems of Pappus-Guldinus, Distributed Loads on Beams, Centre of Gravity of a Three Dimensional Body, Centroid of a Volume, Composite Bodies, Determination of Centroids of Volumes by Integration.


Introduction

• In previous chapters, the forces were considered to act at a point.

• However, in actual practical applications such forces do not exist. The forces are distributed over some finite area and can be replaced by an equivalent single resultant force acting through a point.

• For example, the gravitational force acts on each and every particle of an object. All these forces, distributed over the entire object, can be replaced by a single force acting through a point.

• In this chapter we discuss the methods to replace distributed forces by a single force acting through a point.


Engineering Mechanics: Unit III: Distributed Forces : Tag: : Introduction - Centroid

Home | Department: Mech Department | Subject: Engineering Mechanics |
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Engineering Mechanics: Unit III: Distributed Forces


Centroid - Introduction

Centre of Gravity, Centre of Mass and Centroid - with Solved Example Problems

Solved Example & Practice Problems: Centre of Gravity, Centre of Mass and Centroid

Centroid of Composite Areas - General procedure to find centroid of composite areas, Solved Example Problems

Solved Example & Practice Problems: Centroid of Composite Areas

Pappus-Guldinus Theorems - with Solved Example Problems

Solved Example & Practice Problems: Pappus-Guldinus Theorems - surface areas, volumes of bodies of revolution

Two Marks Questions with Answers - Centroid | Distributed Forces | Engineering Mechanics

Moment of Inertia of Plane Area

Radius of Gyration - Statement, Diagram, Equation | Moment of Inertia

Perpendicular Axes Theorem (Area Moment of Inertia) - Statement, Proof, Diagram, Equation

Parallel Axes Theorem (Area Moment of Inertia) - Statement, Proof, Diagram, Equation

Moment of Inertia by Integration (From First Principles)

Moment of Inertia of Composite Areas - with Solved Example Problems

Solved Example & Practice Problems: Moment of Inertia of Composite Areas

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