Determine reactions on compound beams , Mechanical Engineering

Determine reactions on compound beams:

Determine reactions at the support A, B, C, and D for arrangement of compound beams shown in the figure given below.

 

611_Determine reactions on compound beams.png

Sol.: This is the question of multiple beams (that is, beam on a beam). In this type of question, consider the top most beam, then 2nd last beam as, In this problem on E and F, there are roller support, and this give reaction to both up and down beam. Consider free body digram of top most beams EB as shown in the given figure.

V = 0;

RE  + RB  - 10 - 4 - 6 - 8 = 0

RE  + RB = 28KN                                                                                                   ...(i)

Now taking moment about 'E'

10 × 1 + 4 × 2 + 6 × 3 + 8 × 4 - RB  × 6  = 0

RB = 11.33 KN                                   .......ANS

Putting the value of RB  in the equation (i)

RE = 16.67 KN                                   .......ANS

Consider free body digram of second beam AF as shown in fig 8.56:

∑V = 0;

RA  + RF  - 6 - 8 - RE = 0

RA  + RF = 30.67 KN                                                                                          ...(ii)

Now taking moment about 'A'

6 × 1 + 8 × 2 + 16.67 × 3 - RF × 6  = 0

RF = 12 KN                                        .......ANS

Putting the value of RF  in the equation (ii)

RA = 18.67 KN                                   .......ANS

Consider FBD of third beam CD as shown in the given figure:

∑V = 0;

RC  + RD  - RF = 0

RC  + RD = 12 KN                                                                                               ...(iii)

Now taking moment about 'C'

- RD  × 5 + 12 × 3 = 0

RD = 7.2 KN                                       .......ANS

Putting value of RD  in the equation (iii)

RC = 4.8 KN                                        .......ANS

 

Posted Date: 10/17/2012 5:47:13 AM | Location : United States







Related Discussions:- Determine reactions on compound beams , Assignment Help, Ask Question on Determine reactions on compound beams , Get Answer, Expert's Help, Determine reactions on compound beams Discussions

Write discussion on Determine reactions on compound beams
Your posts are moderated
Related Questions
Discover ratio of the torsional strengths: A hollow shaft of inner diameter is 1/2 × the outer diameter & a solid shaft of diameter is the external diameter of the hollow shaf

wire-frame entities-representing ellipse and parabolas

What is ignition angle offset

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. Explain about Napthenic Acid Corrosion? Some crude oils contain napthenic acids, which, at elevated temperatures, may contribute to more active corrosion with or without the

Once the total volume of an individual vessel has been established the detailed dimensions or mechanical design can be performed. Much of this is based on "Rules of Thumb"  built f

FLUX FEEDING & RECOVERY SYSTEM The flux is fed by gravity from the flux delivery hopper mounted on the welding head through a tube into the welding zone. Flux feeding is normally

calibration curve standard temparature vs indicator temprature.

According to the explanation, why reverse will happen in the case of cantilevers? ( that is, tensile stresses will be induced in upper layers and compressive stresses will be induc