Determine magnitude of the couple, Mechanical Engineering

Determine magnitude of the couple:

A square block having each side 1.5 m is acted upon by system of forces along its sides as shown in the adjoining figure. If system reduces to couple, determine magnitude of the forces P and Q, and couple.

484_Determine magnitude of the couple.png

Sol.: If the system is reduces to couple, the resultant force is zero,

(that is  ∑H  V = 0) but ∑M = 0,

i.e. the moment of the force system or couple is the resultant of the force system.

∑H = 150 - 150 cos 45º - P = 0

P = 43.95N                                                                               .......ANS

∑V = 300 - 150 sin 45º - Q = 0

Q = 193.95N                                                                            .......ANS

Now moment of couple = Algebraic sum of moment of forces at any corner, say A

= -300 × 1.5 - 43.95 × 1.5 = -515.925 Nm             .......ANS

negative means moment is anticlockwise.

Posted Date: 10/17/2012 2:56:26 AM | Location : United States







Related Discussions:- Determine magnitude of the couple, Assignment Help, Ask Question on Determine magnitude of the couple, Get Answer, Expert's Help, Determine magnitude of the couple Discussions

Write discussion on Determine magnitude of the couple
Your posts are moderated
Related Questions

A pressure vessel is to be treated to generate compressive residual stresses on it inner surface. This involves increasing the pressure until taking 75% of the wall thickness goe

I have a project due in 20 hours and I need help please.

Define Essentials of Milling Fixture? Strength of withstand heavy forces. Thrust should be directed towards a strong, solid structure. Cutter setting piece should b

temparature stresses in composite bars

Theory of Constraints: Goldratt's theory of constraint has attracted the attention of several practioners in the industry. His concept of goal, constraint, and throughput, cri

Define density and specific volume. DENSITY (ρ) Density is illustrated as mass per unit volume; Density = mass/ volume; ρ = m/v, kg/m 3 P for Hg = 13.6 × 10 3 kg/m 3

Keywords: Degree of Curve      :            The angle subtended at the centre by a chord of 100 ft (30.5 m) length. Super-elevation (cant)        :            The raising

Calculate the weight of body and the coefficient of friction: Q: Bodies resting on rough horizontal plane required pull of 24N inclined at 30º to the plane just to move it. I

Q. A rectangular beam which is 300 mm deep is simply supported over span of 5 m. What uniformly distributed load per meter beam may carry? If bending stress is not to exceed 130N/m