Resultant of concurrent force system, Mechanical Engineering

Resultant of Concurrent Force System:

The resolution of forces helps in finding out the resultant of a number of forces working on a body as it decrease vectorial addition to algebraic addition.

If more than two coplanar, concurrent forces are working on a body, the analytical method of seeking resultant is quicker. Each of the force is resolved out into two mutually perpendicular axes say x and y. All of the components along with the respective axes are added algebraically to obtain the components of the resultant R along x and y axes. Therefore, we obtain

 

366_Resultant of Concurrent Force System.png

tan θx  = ∑ Fy / ∑ Fx

where, θx = angle which the resultant R makes with the x-axis.

In particular case of non-coplanar forces, the given force is resolved out into three mutually perpendicular axes system, for example. x, y and z axes. Therefore, we obtain

 

2039_Resultant of Concurrent Force System1.png

cos θx = ∑ Fx / R, cos θ y =∑ Fy / R, cos θz = ∑ Fz/ R

where ∑ Fx , ∑ Fy  and ∑ Fz are the algebraic sums of the components of all of the forces along with x, y and z axes, respectively. The angles θx, θy and θz are the angles which the resultant R makes along with x, y and z axes, respectively.

The measure of the property of a force through virtue of which it tends to rotate the body on which it behaves is called the moment of a force.

A couple is a force system contains two equal, coplanar, parallel forces working in opposite direction.

Posted Date: 1/28/2013 2:33:34 AM | Location : United States







Related Discussions:- Resultant of concurrent force system, Assignment Help, Ask Question on Resultant of concurrent force system, Get Answer, Expert's Help, Resultant of concurrent force system Discussions

Write discussion on Resultant of concurrent force system
Your posts are moderated
Related Questions
Stroke: The nominal distance through which a working piston moves between two successive reversals of its direction of motion is called the stroke and is designated by the letter

Q. Overall deformation of a component? The overall deformation of a component is a function of the applied load, the materials' creep rate, the maximum in-service temperature,

Standard for Exchange and Transfer (SET) The interface SET is a standard for the exchange of all data which is generated for CAD/CAM. It is a French development and was first p

Q. Why we need Ambient Air Temperatures? Climatic temperatures and humidity conditions will have an impact on the type of equipment selected for the plant. A type of "wind c

how we made parts of engine

Industrial Manufacturing Activity can broadly be divided into the followings ways: Mass Production Large lots e, g, Automobiles : In this the volume of production is very hi

Determine root of equation xe x = cosx by Muller's method. Solve the following equations by Matrix Inversion method.

calculate the head required

Determine contact reactions and force: Figure given below shows a sphere resting in smooth V shaped groove and subjected to a spring force. The spring is compressed to

example on operation sheet?