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

Equation of motion of lift, Equation of motion of lift: Write equatio...

Equation of motion of lift: Write equation of motion of lift when move up and when move down   Assume,   W = Weight carried by lift m = Mass carried by lift = W

Desgin of furnce - combustion chamber, Desgin of furnce - combustion chambe...

Desgin of furnce - combustion chamber: • Deside on type of furnace :need review of furnace types (grete,fluidized bed,puluerised coal or other. • Sectch of furnace design with

High speed circuit-carburettor in high speed condition , High Speed Circuit...

High Speed Circuit : The speed of motorcycle is further increased by raising the throttle valve. In this condition, fuel and air enter through main passage and main jet as can be

Evaluate the composite transformation matrix, A triangle ABC with vertices ...

A triangle ABC with vertices A (30,20), B(90,20), C(30,80) is to be scaled by a factor of 0.5 about a point X(50,40). Calculate :- (i) The composite transformation matrix; and

GOVERNOR, IN CASE OF WILSON HARTNELL GOVERNOR THERE TWO MAIN SPRINGS AND TH...

IN CASE OF WILSON HARTNELL GOVERNOR THERE TWO MAIN SPRINGS AND THERE ARE ONE AUXILIARY SPRING. AND NATURE OF SPRINGS ARE TENSION ALWAYS HOW IT CAN POSSIBLE? WHEN SLEEVE WILL MOVE D

Calculate the maximum shear stress, The square cross sections A and B a...

The square cross sections A and B are shown in Fig Q1, the dimensions b = 80 mm, thickness t = 10 mm. A shear force V is applied at the cross section, calculate the maximum she

Thermal, mean effective pressure of dual cycle

mean effective pressure of dual cycle

Evaluate the gyroscopic couple, The turbine rotor of a ship having a mass o...

The turbine rotor of a ship having a mass of 200Kg moves at 200 r.p.m and its radius of gyration is 0.30 m. If the rotation of the rotor is clockwise looking from the aft., evaluat

What is the pull required on brake arm to stop wheel, A simple band brake p...

A simple band brake performs on a drum of 600mm in diameter that is running at 200 r.p.m. The coefficient of friction is 0.25. The brake band has a contact at 270 o one end is fas

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