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
Rails: Rails are the part of the Permanent Way on which the wheels of the train travel. The rails also maintain the gauge separation. Rails have to possess the following d

How is bearing capacity of soil varied? The bearing capacity of soil varies not only with its strength but also with the magnitude and distribution of the load. When a load Q,

hi how much torque required to move 100kg in a skate board with a wheel diameter of 1.8 inch

Power Metallurgy- The more appropriate name should be "Particulate Processing Methods". Here the particles of various sizes of metals, ceramics, polymers and glass etc, are presse

A space craft ‘A' has velocity 0.9 c relative to the earth. Another spacecraft ‘B' overtakes A with relative velocity 0.5 c. Find the velocity of spacecraft B relative to the groun

this is a problem for designing wrecking crane. there are 2 scenarios, one is when ball is held and one where its at maximum. i calculated the loads and now need to find the follow

Q. Use of high temperature material Flare Tips? A variety of high temperature alloys (typically stainless steels and/or nickel-base alloys) are employed in the construction of

Illustrate the process of knock in C.I engines and compare it with S.I. engine knock. What is Octane rating of C.I. engine fuel. What is the difference between chemical delay and p


An air refrigerator operates between the pressure limits of 1 bar and 5 bar. The temperature of the air entering the compressor and expansion cylinder are 15 o C and 25 o C respect