statics

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Principle of transmissibility of a force

states that the external effect of a force on a body is the same for all points of application along its line of action it is independent of the point of application

couple

we define a _____ as made up of two equal parallel oppositely directed forces

Conditions of equilibrium for moments

we express the conditions of equilibrium in terms of moments summations instead of x and y summations

In Dynamics

you considered a motion of rigid body's caused by the forces acting upon them

vector quantities

Quantities which possess magnitude and direction are defined as

scalar quantities

Quantities which possess magnitude only and can be added arithmetically are defined as

couple

The special case in which the result and a zero magnitude but does have a moment is said to consist of a

equilibrium

The subject matter of statics as its name implies deals essentially with the action of forces and bodies which are at rest such bodies are said to be in _____ term used to designate the condition where the resultant of a system of forces is zero

Statics and Dynamics

The subjects divides naturally into two parts

external effect of a forces

This concept of the moment of a force can be used to demonstrate the principle of transmissibility namely ______ the independent of where it is applied along its line of action

A force system

is any arrangement where two or more forces act on a body or on a group of related bodies.

Rigid body

is defined as a definite amount of matter the parts of which are fixed in position relative to each other

A free vector

is defined as one which does not show the point of application of the factor as distinguished from a localized vector which does

The advantage of expressing equilibrium in terms of moment summations

is that any particular force can be eliminated by taking moments about the center of its line of action this method is specially useful the force to be eliminated is specified interaction by its slope

The moment of a force about an axis or line

is the measure of its ability to produce turning our twisting about the axis

The internal effect of a force

is to produce stress and deformation in the body on which the force acts

In equilibrium of non-concurrent for system

it was demonstrated that the resultant of a non-concurrent for system could be determined from the components summation of x summation of y and summation of m

horizontal and vertical axis. using rotated access .using force triangle

m1, m2 .m3

A set of forces in equilibrium

may be added to any system of forces without changing the effect of the original system

Force

may be defined as that which changes are tends to change the state of motion of a body this definition applies to the external effect of a force

Force

may be defined as that which changes or tends to change the state of emotion Of a body

Engineering mechanics

may be defined as the science which considers the effects of forces and rigid bodies

The coplanar system

obviously simplier than non-coplanar systems since all the action lines of the force lie in the same plane

External effect

of forces are considered in engineering mechanics while internal effects are considered in strength of materials

Two forces are in equilibrium

only when equal in magnitude opposite and direction and collinear in action

the parallelogram law

resultant of two forces is the diagonal of the parallelogram formed in the vectors of these forces

A parallel force system

s1 on which the action lines of all the forces are parallel the resultant of such system is determined when it is known in magnitude direction and position

In static

so you can see there the effects and distribution of forces and rigid bodys which are And remain at rest

rigid bodies

. In many cases this deformation is negligible compared to the size of the body and the body may be assumed ______ made of steel or cast iron for example are of this type

equilibrium

A body is said to be in ____ when the force system acting upon it has a zero resultant

a free body diagram

A sketch of the isolated body which shows only the forces acting upon the body is defined as

concurrent

Forces whose lines of actions pass through a common point are called

non-concurrent for system

Forces in which neither are parallel nor intersect in a common point are known as

parallel force systems

Forces whose lines have action are parallel are called

the fundamental anxioms of mechanics

The principles of mechanics are postulated upon several more or less self evident facts which cannot be proved mathematically but can only be demonstrated to be true we shall call these facts

determining the equations that produce a zero resultant

The conditions of equilibrium for concurrent force systems are obtained by

the applied forces

The forces acting on the free body are the action forces also called

experiment this one of the fundamental anxioms of mechanics

The parallelogram law cannot be proved it can only be demonstrated by

moment arm of the couple

The perpendicular distance between the action lines of the force is called the _____ their momentum is constant and independent of the moment center

non-coplanar

When the lines of action of all the forces in a forces them don't lie in one plane they are referred to as ______

coplanar.

When the lines of action of all the forces in a four system lie in one plane, they are referred to as being _____

The magnitude of the moment of a force

about an axis which is perpendicular to a plane containing the line of action of the force is defined as the product of the force of the perpendicular distance from the axis to the line of action of the force

Action and reaction forces

are equal but oppositely directed

The characteristics of a force

are it's magnitude the position of its line of action the direction or sense in which the force acts along the line of action

Solid bodies

are never rigid they deform under the action of Applied forces

The unit of force

commonly used in united states is the pound or multiples of the pounds such as the kip or ton.


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