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
A carnot engines performs between two reservoirs whose difference in temperature is 200 o C. If the work output of the engine is 0.5 times the heat rejected, make evaluation for th

how should we consider positive or negative when summation of forces

what are the types of water turbine and its application ?

for an otto cycle, compression ratio=8.5:1,air inlet=15degree celsius and pressure=101.3kpa, maximum cycle temperature= 1800degree celsius, what is temperature after compression,te

degrees of freedom of a planar mechanism

Applications with Medium Laser Power   Several laser welding applications have recently evolved in this power range of 1 to 10 kW. Because, the laser provides a basis for co

General Phase of Value Engineering: Steps- 1. Prepare a strong foundation for the value study. Extension of auger in screw conveyer in hydraulic paver machine is to be do

#what is porosity in welding is this different from pin hole

High growth has been observed since 2001-02 in automobile production. Annual growth was 16.0 percent in April-December, 2004; the growth rate in 2003-04 was 15.1 percent (Table 1.