Civil Engineering - Theory of Structures - Discussion

38. 

The force in AD of the truss shown in given figure, is

[A]. 4.0t compression
[B]. 3.0t compression
[C]. 0.5t compression
[D]. 0.5t tension
[E]. zero.

Answer: Option C

Explanation:

No answer description available for this question.

Ddendu said: (Sep 5, 2013)  
Reactions are Va + Vb = 5t.

Let length of each member be x.

Moment atB = 4t * x - 5t * x + Va * 2x = 0.

Therefore 1t = 2Va.

Hence Va = 0.5t.

Ishan said: (Mar 26, 2016)  
Hello Ddendu can you tell me, why the x is multiplied with 4t, as it is 2x distance away from B.

Pradyumna Kumar Nayak said: (Apr 19, 2016)  
Hello, Ishan.

It is a perpendicular distance of line of force and point B. So only x is multiplied.

Pradyumna Kumar Nayak said: (Jul 29, 2016)  
Considering the joint A.
As Va = 0.5 T upward.

fac = 0 & fad = 0.5T compression.

Michelle said: (Feb 22, 2017)  
Hi @Ddendu.

How is EF=BC= X? Are all the members equal in a truss all the time?

Manoj Paridwal said: (Sep 11, 2017)  
How it is compression. Show it will be .5 tension?

Tapas said: (Feb 22, 2019)  
@Manoj Paridwal.

When axial force moves towards the joint it is compression. As the reaction on the left side +ve so it is an upward reaction, so to balance it an equal downward force will be induced in the member AD. Hence both as the forces are moving towards the joint A hence the member AD is under compression.

Adarsh said: (Jun 11, 2019)  
Very good, thanks @Dhendu.

Pawan said: (Jun 16, 2019)  
Thanks @TAPAS.

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