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Definition
• A force can be defined as the action of one body on
another that changes/tends to changes the state of
the body acted on.
• A force can be applied on a body as;
�Contact force:-Applied by direct mechanical contact of �Contact force:-Applied by direct mechanical contact of
the acting body on the acted one (Created by push and
pull).
�Remote action (Body force):-Applied by remote action as
in gravitational, electrical, Magnetic, etc forces.
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
• Categories of force depending on their
arrangement in space.
� Coplanar Forces:- are forces which act on the
same plane.
Definition Cont…
same plane.
� Non coplanar forces:- are forces which act on
different planes » Non coplanar parallel forces
» Non-coplanar concurrent forces
» General Non coplanar force
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
• Categories depending on their
arrangement in plane
� Coplanar collinear forces
Definition Cont…
� Coplanar collinear forces
� Coplanar parallel forces
� Coplanar concurrent forces
� General coplanar forces
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
• Coplanar collinear forces:- are coplanar forces
acting on the same line-collinear.
• Coplanar parallel forces:- Are forces which are
Definition Cont…
• Coplanar parallel forces:- Are forces which are
on the same plane and parallel
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
• Coplanar concurrent forces:- Are forces on the
same plane whose lines of action intersect at a
point.
Definition Cont…
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
• General coplanar forces
Definition Cont…
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
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AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
Example 2/3
Given vector A with the following properties:
Magnitude= 150, Ɵz =450, Ɵy= 600, and it is known
that Ax is directed in the positive x direction. Express
the vector in Cartesian form.
Example 2/4
Example 2/3
Given vector A with the following properties:
Magnitude= 150, Ɵz =450, Ɵy= 600, and it is known
that Ax is directed in the positive x direction. Express
the vector in Cartesian form.
Example 2/4
Determine a unit vector normal to the plane of the
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
Determine a unit vector normal to the plane of the
triangle formed by three points: (0,0,2), (2,0,0), and
(0,2,0)as its vertices.
Example 2/3Example 2/
A vector F has a magnitude of 2 and is directed from
point A to point B as shown in the figure below.
Calculate the projection of this vector onto line CD
and determine also the angle between F and CD.
5
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
Definition
•Moment (torque )
•Tendency of a force to •Tendency of a force to
rotate a body about a
given axis.
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
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AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
Couple
• moment produced by 2 equal and
opposite forces is known as a
couple.couple.
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
Couple Cont…
• Moment of couple about any point
of reference 0.
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
• Moment of couple about any point of
reference 0.
Couple Cont…
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
• Moment of couple about any point of
reference 0.
Couple Cont…
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
Couple Cont…
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering
Couple Cont…
• Resolution of a force into a force and a
couple equal external effect.
AAITAAITAAITAAIT Engineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics StaticsEngineering Mechanics Statics Department of Department of Department of Department of Tewodros N. Civil Engineering