Reaction on the beam - mechanics, Mechanical Engineering

Reaction on the beam - mechanics:

Determine algebraically the reaction on the beam loaded as shown in the figure given below. Neglect the thickness and mass of beam. 

 

1277_Reaction on the beam.png

Resolved all the forces in horizontal and vertical direction.

Let reaction at hinged that is, point A is RAH  and RAV, and reaction at the roller support is RBV

Let ∑H & ∑V is the sum of horizontal and vertical component of the forces ,The supported beam is in equilibrium, thus

∑H =  ∑H = 0

∑H = RAH - 20cos60° + 30cos45° - 40cos80° = 0

RAH = - 4.26 KN                                                                                                                    ...(i)

V = RAV - 10 - 20sin60° - 30sin45° - 40sin80° + RBV  = 0

RAV  + RBV =87.92 KN                                                                                                                       ...(ii)

Taking moment about A

10 × 2 + 20sin60° × 6 + 30sin45° × 13 - 40sin80° × 17 - RBV  × 17= 0

RBV = 62.9 KN                                                                                                                      ...(iii)

Putting the value of RBV  in the equation (ii)

RAV   = 25.02 KN

Thus  RAH = - 4.26KN, RAV  = 25.02KN, RBV    = 62.9KN                .......ANS

Posted Date: 10/17/2012 4:16:59 AM | Location : United States







Related Discussions:- Reaction on the beam - mechanics, Assignment Help, Ask Question on Reaction on the beam - mechanics, Get Answer, Expert's Help, Reaction on the beam - mechanics Discussions

Write discussion on Reaction on the beam - mechanics
Your posts are moderated
Related Questions
Q. Describe about consumable electrode? This type of electrode is prepared from metal. Its one end is kept in electrode holder and then electric supply is passed through it. Th

a) The voltage v across a capacitor at time t seconds is given by the following table   t: 0 2 4 6 8   v: 150 63 28 12 5.6 Use the method of least square to fit a curve of

Airlines like to overbook their flights (this is a vibrant area of research called yield management). It is estimated that 10% of the people who book their flight do not show up. H

define thormodynamics and its laws

Polyhedra and Euler's Formula The b-rep of a polyhedra that are holomorphic to a sphere are topologically valid if they satisfy the following equations : F - E + V - L = 2 (

A steel tube of 30 mm external diameter and 20mm internal diameter encloses a copper rod of 15mm diameter to which it is rigidly joined at each end. If at a temperature of 10 o C,

Determine the Location of Any Zero Crossings For the loaded as shown below a. Draw the V & M diagrams on the grid below. b. Determine the location of any zero crossings

Copper-Beryllium Alloys Copper-beryllium alloys comprise between 0.6 to 2% Be and 0.2 to 2.5% Cobalt. Such alloys can be precipitation hardened and cold worked to improve a te

Maximum slope and maximum deflection: A simply supported beam of span l is subjected to two concentrated loads at one-third span through two supports. Discover the maximum slo

A pelton wheel works at the foot of a dam because of which the head available at the nozzle is 400m. The nozzle diameter is 160mm and the coefficient of velocity is 0.98. The diame