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
Find out the centre of gravity of solid sphere: Find out the C. G. of a body formed by a solid sphere placed over a solid cylinder of similar radius a as illustrated in Figure

ABCDEF is a regular hexagon having forces of magnitude 3, 6√3, 12, 3√3 and 6N which act at ‘A' in the direction of AB, AC, AD, AE and AF respectively. Determine the resultant compl

Determine elongation because of self weight of tapering rod: Sol.: Take a tapering rod hung vertically and firmly fixed at top position. The rod is of length L tapers unifor


a) You have been assigned to design a robotics spot welding experiment for low carbon steel sheets. You found an experimental power source for spot welding process which is designe

Study literature and give a discussion of the applicability of the continuum mechanics hypothesis to the nano-scale mechanics (solids and fluids). Your paper must be detailed but c

PRINCIPLE OF SUBMERGED ARC WELDING In submerged arc welding, the arc zone is submerged beneath the molten flux and hence there is no visible signature of the arc. Welding current

A 16-bit A/D board is arranged to accept voltage signals ranging from -5V to +5V.  The A/D board is used to monitor the output from the Wheatstone bridge shown below.  The strain g

Show that the force exerted by jet of water on a fixed semi-circular plate in the direction of jet when the jet strikes at the centre of the semi-circular plate is two times the fo

1. Plot the functions x1 and x as functions of voltage 2. Assume that you hold the membrane potential V at -120 mV until the system reaches equilibrium (i.e. until dx=dt = 0, w