Evaluate the reactions at hinge and roller support, Mechanical Engineering

Assignment Help:

Evaluate the reactions at hinge and roller support:

Q: A Force P = 5000N is applied at centre C of beam AB of length 5m as shown in figure given below. Find the reactions at hinge and roller support.                                                                                                       

Sol.: Hinged at A and Roller at point B, FBD of beam is as shown in the figure given below

 

930_Evaluate the reactions at hinge and roller support.png

∑H = 0

RAH  -5000cos30° = 0

RAH = 4330.127N                                       .......ANS

∑V = 0

RAV  + RBV  -5000sin30° = 0

RAV  + RBV = 2500N                                                                                                        ...(i)

By taking moment about B:

∑MB = RAV  × 5 - 5000 sin30° × 2.5 = 0

RAV = 1250N                                               .......ANS

From the equation (i)

RBV = 1250N                                               .......ANS

 


Related Discussions:- Evaluate the reactions at hinge and roller support

What do you understand by inversion of mechanism, (a) What do you understan...

(a) What do you understand by Inversion of Mechanism ? Describe in detail the following : (i) Crank and Lever mechanism (ii) Double crank Mechanism (b) What are the condit

Define the nature of force in a member of truss, Define the nature of force...

Define the nature of force in a member of truss: How can you define the nature of force in a member of truss? Sol.: We know that whenever force is applied on a cross se

Shaft in parallel, SHAF T IN PARALLEL: SHAF T IN PARALLEL: The sh...

SHAF T IN PARALLEL: SHAF T IN PARALLEL: The shaft are in parallel when the driving torque is applied at the junction of shafts and resisting torque is at other ends of

Describe the basic procedure for design, (a) Describe the basic procedure f...

(a) Describe the basic procedure for mechanical engg. design. (b) What is the relationship between the functional requirement and appearance of product?

Stress, how do i determine the operational factor of safety in tension

how do i determine the operational factor of safety in tension

Find the speed of shaft , Find the speed of shaft : Find the speed of...

Find the speed of shaft : Find the speed of shaft driven with the belt by an engine running at 600 rotation per minute. The thickness of belt is 2cm, diameter of engine pulle

Moment of couple - mechanics, Moment of couple: Sol.: The moment of ...

Moment of couple: Sol.: The moment of couple is the product of the force (that is one of the forces of two equal and opposite parallel forces) and the arm of couple. Math

Evaluate the shaft diameter on strength basis, The layout of a transmission...

The layout of a transmission shaft carrying two pulley C and B and supported on bearings A and D is shown in figure. Power is supplied to the shaft by means of vertical belt on pul

Objectives of the motercycle, Objectives After studying this unit, you...

Objectives After studying this unit, you should be able to describe how a motorcycle works, identify the transmission system and its various part, explain abo

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