Determine reactions at supports of loaded beam, Mechanical Engineering

Determine reactions at supports of loaded beam:

Determine reactions at supports A and B of loaded beam as shown in the figure given below. 

 

2214_Determine reactions at supports of loaded beam.png

Sol.: First consider the free body diagram of the figure give to us. In which ?CEA, AED and

FHG shows point load and rectangle FHDB shows point load.

Point load of ?CEA = 1/2 × AC × AE = 1/2 × 1 × 10 = 5KN, act at a distance 1/3 of AC (that is, 0.333m) from point A

Point load of ?AED = 1/2 × AD × AE = 1/2 × 2 × 10 = 10KN

act at a distance 1/3 of AD (that is, 0.666m )from point A

Now divided the diagram DBGF in to two parts A ?FHG and a rectangle FHDB. Point load of Triangle FHG = 1/2 × FH × HG = 1/2 × 3 × (20 - 10) = 15KN

act at distance 1/3 of FH (that is, 1.0m )from point H

Point load of Rectangle FHDB = DB × BH = 3 × 10 = 30KN

act at a distance 1/2 of DB (that is, 1.5m )from point D

At Point A roller support that is, only vertical reaction (RAV), and point B hinged support that is, a horizontal reaction (RBH) and a vertical reaction (RBV). All point load are shown in the given figure

∑H = 0;

RBH   = 0

RBH = 0                                                              .......ANS

∑V  = 0;

RAV  + RBV  - 5 - 10 - 30 - 15 = 0

RAV  + RBV = 60KN                                                                                                                              ...(i)

Now taking moment about 'A'

- 5 × 1/3 + 10 × 0.66 + 30 × 3.5 + 15 × 4 - RBV  × 5  = 0

RBV = 34 KN                                                   .......ANS

Putting the value of RDV in the equation (1)

RAV = 26KN                                                     .......ANS

Posted Date: 10/17/2012 5:40:43 AM | Location : United States







Related Discussions:- Determine reactions at supports of loaded beam, Assignment Help, Ask Question on Determine reactions at supports of loaded beam, Get Answer, Expert's Help, Determine reactions at supports of loaded beam Discussions

Write discussion on Determine reactions at supports of loaded beam
Your posts are moderated
Related Questions
Q.Explain working of Steam Drum? Total solids concentration in the steam at steam manifold outlet shall not exceed 0.5 ppm during steady operation at MCR.  Fabricator must indic

What is the initial velocity of the ball: A ball is horizontally thrown from the top of a building 60 m height, hits the horizontal ground 25 m from the base of the building a

Evaluate the motion of the system: If in above Example, the block A is resting on an inclined plane at 45 o to horizontal as illustrative in Figure, find out the motion of th

Q. Mechanical design of the blowdown systems? Mechanical design of the blowdown systems shall be sized for a continuous blowdown of a minimum of 1.0% of MCR. Fabricator may re

Location of centre of gravity of a hemisphere: Find out the location of centre of gravity of a hemisphere of radius a. Solution Figure shows the cross-section of the h

Find an approximated probability: Sixteen numbers are selected independently and at random from the interval [ 0, 1 ]. Find an approximated probability that the mean of these


For fan installation detail and indicate correct structural components, drip pan, acoustical and thermal insulation. Provide special acoustical curbs for critical areas. Chec

Compare Two Stroke with four stroke Engine: T w o Stroke Engine In two stroke engine all the four operation that is suction, compression, ignition and exhaust are compl

Torsion of a Cylinder Let a cylinder of length  l  and radius  R  be clamped at one end and twisted at the other end by applying a torque τ about the axis of the cylinder. Each