Evaluate the reactions at hinge and roller support, Mechanical Engineering

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


Posted Date: 10/17/2012 5:17:40 AM | Location : United States

Related Discussions:- Evaluate the reactions at hinge and roller support, Assignment Help, Ask Question on Evaluate the reactions at hinge and roller support, Get Answer, Expert's Help, Evaluate the reactions at hinge and roller support Discussions

Write discussion on Evaluate the reactions at hinge and roller support
Your posts are moderated
Related Questions
Calculate force transmitted by the man on the floor of lift: A vertical lift having total mass 500Kg acquires an upward velocity of 2m/sec over a distance of 3m of motion w

Objective: After studying tools and equipment, you should be able to list various tools, measuring equipment required in a motorcycle workshop, and identify and use ap

Cam: This is an integral part of camshaft. A cam is designed in such a way as to open or close the valves at the correct timing and keep them open for the necessary duration.

Loading Conditions Non-uniformity of loading has to be considered in the choice of foundations particularly in highly compressible soils. It is not uncommon for buildings with

Determine the ratio between moment and load: Any close coiled helical spring of circular section extends 1 mm while subjected to an axial load of W and then given an angular r

The end gear is subjected to the loading given in the picture below. If the bearings A & B exerts only Z & Y component of forces on the shaft, Verify the equilibrium torque T at ge

Company level - Safety Organization This is at company level and will straight report to the corporate director. He has to always monitor safety policies of the company and b

Initial difference in radii at the junction of a compound cylinder

Quenching and Tempering Cast iron pearlite structure might be heated to lower critical temperature and after that quenched to effect extremely rapid cooling. This treatment re

Tachometer: This is used to measure the speed (revolutions) of an engine in revolutions per minute (RPM). This is shown in Figure. Figure : Tachometer