Reaction on the beam - mechanics, Mechanical Engineering

Assignment Help:

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


Related Discussions:- Reaction on the beam - mechanics

Limitations of first law of thermodynamics, limitations of first law of the...

limitations of first law of thermodynamics: There are some limitations of First Law of Thermodynamics. 1. When a closed system undergoes thermodynamic cycle, the average he

Define gas welding, Q. Define Gas Welding? Metal joining process in whi...

Q. Define Gas Welding? Metal joining process in which the ends of pieces to be joined are heated at their interface by producing coalescence with one or more gas flames (such a

Show the tensile properties of material, Q. Show the tensile properties of ...

Q. Show the tensile properties of material? Tensile properties indicate how the material will react to forces being applied in tension. A tensile test is a fundamental mechanic

External pressure design of unfired pressure vessels, Q. External Pressure ...

Q. External Pressure Design of unfired pressure vessels? Determine requirements for external pressure based on the expected operation of the vessel, and add a suitable operatin

Evaluate the speed of train, Evaluate the speed of train: A train of ...

Evaluate the speed of train: A train of mass 200KN has frictional resistance of 5N per KN. Speed of train, at the top of an inclined of 1 in 80 is 45 Km/hr. Find speed of tra

Getting familiar with entrepreneurship development , Getting Familiar: An ...

Getting Familiar: An entrepreneur wishing to set up an industry must first formulate a comprehensive plan for setting the industry for its success. For this, he/she should have co

Benefits of a good layout and design of plant, Q. Benefits of a good layout...

Q. Benefits of a good layout and design? The benefits of a good layout and design cannot be overemphasized. They provide an irreplaceable safety factor throughout the life of t

Residual stress and deformation in aluminum, deformation and stress in alum...

deformation and stress in aluminum 6061 after extrusion

Urine preservatives - specimen collection, Urine preservatives - Specimen c...

Urine preservatives - Specimen collection: Urine preservatives : preservatives have different roles but are usually added to reduce bacterial action or chemical decompo

Why is stress relieving in post-weld treatment necesaary, In case of welded...

In case of welded vessels why is stress relieving in the form of post-weld treatment necessary? When a metal is welded together the point at which two surfaces are joined are s

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd