Chapter 2:
Force Vectors
Engineering Mechanics: Statics
Objectives
To show how to add forces and resolve them
into components using the Parallelogram Law.
To express force and position in Cartesian
vector form and explain how to determine the
vectors magn

EASTERN MEDITERRANEAN UNIVERSITY
COURSE OUTLINE
Course Code
Course Title
Course Title
Lecturer(s)
Credit Value
Prerequisite(s)
Duration of Course
WEB Link
CIVL211
Statics
Area Core
Gr:01 : Assoc. Prof. Khaled Marar
Gr:02 : Mr Amir Bahador Nataj
Gr:03 : Mr

Internal Forces
Chapter Outline
Developed Internal Forces
in Structural Members
Axial, Shear and Moment
Equations and Diagrams
Chapter Objectives
To show how to use the method of sections
for determining the internal loadings in a
member.
To generaliz

Centroids
Chapter Objectives
To discuss the concept of the centroid.
To show how to determine the location of the center of a
body of arbitrary shape (the centroid).
Chapter Outline
Centroid of Simple Bodies
3D shape (Volume)
2D shape (Area)
1D shape (

Frames and Machines
Chapter Objectives
To analyze the forces acting on
Members of Frames and Machines
composed of pin-connected members
Frames and Machines
Composed of pin-connected multi-force
members
(subjected to more than TWO FORCES
and/or COUPLE MOM

Moments of Inertia
Chapter Objectives
To develop a method for determining the
moment of inertia for a composite area.
Chapter Outline
Definitions of Moments of Inertia for Areas
Parallel-Axis Theorem for an Area
Moments of Inertia for Composite Areas

Structural Analysis
Chapter Objectives
To show how to determine the forces in the
members of a truss using:
the method of joints and
the method of sections.
Chapter Outline
Two-force members
Planar (Simple) Trusses
The Method of Joints
Zero-Force Membe

Equilibrium of a Rigid Body
Engineering Mechanics: Statics
Chapter Objectives
Revising equations of equilibrium of a rigid
body in 2D and 3D for the general case.
To introduce the concept of the free-body
diagram FBD for a rigid body.
Showing how to so

Graphical method for drawing
diagrams
Chapter Outline
Shear and Moment Diagrams
Chapter Objectives
To show how to use the graphical method
for determining the internal loadings in a
member.
Principles for constructing shear force diagrams:
1- If in a pa

Force System Resultants
Engineering Mechanics: Statics
Chapter Objectives
To discuss the concept of the moment of a force and
show how to calculate it in 2-D and 3-D systems.
Definition of the moment of a couple.
Chapter Objectives
To present methods for

Equivalent Force Systems
EQUIVALENT SYSTEMS for SINGLE FORCE
Determining the effect of moving a force.
1. MOVING A FORCE ON ITS LINE OF ACTION
2. MOVING A FORCE OFF OF ITS LINE OF ACTION
Equivalent Force Systems
1. MOVING A FORCE ON ITS LINE OF ACTION
Mov

Structural Analysis
Chapter Outline
Two-force members
Planar (Simple) Trusses
The Method of Joints
Zero-Force Members
The Method of Sections
Chapter Objectives
To show how to determine the
forces in the members of a truss
using the method of sections.
T

Equilibrium
FORCES ARE VECTORS
THEREFORE WE NEED
TO USE THE
TECHNIQUES OF
VECTOR ALGEBRA
Collinear Force Systems
Collinear Force Systems
EQUILIBRIUM EQUATIONS
CONDITIONS OF EQUILIBRIUM
Only ONE unknown (Force component) can be found
Collinear Force System

THREE DIMENSIONAL SYSTEMS
3D - CARTESIAN VECTORS
3-D Cartesian Vectors
- Cartesian (x, y, z) Coordinate System
- Right-handed coordinate system
- Positive z axis points upwards, this axis helps
us in measuring the height of an object or
finding the altitu

Multiplication of 2 Vectors by:
DOT PRODUCT
C =A . B
Dot product of vectors A and B is written as:
(read as C equals A dot B)
CROSS PRODUCT
C = A B
Cross product of vectors A and B is written as:
(read as C equals A cross B)
DOT PRODUCT
Dot product

Engineering
Mechanics: Statics
Chapter 1
Introduction
and
General Principles
What is STATICS?
Statics is study of objects which are
subjected to forces, and are either:
1. At rest
2. Or, moving with constant velocity
In either case ACCELERATION is zero.