Calculations and Analysis of a Truss Structure

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Task 1
Part a
Calculations of the number of reactions:
R=2rhinge
When 2 is substituted for rhinge
R=2x2
=4
When 4 is substituted for the value of r,21 for n and 38 for b,then
r+b>2n
4+38>(2x21)
42>42.
Also, 4+10-(2x6)
=2
The truss is therefore indeterminate to degree 2.
Considering that the reaction in the members of the link pass through the left hinge which
translates to the concurrent force system, the truss is therefore unstable geometrically.
By using the truss sample which has been shared above, the structure will be capable of carrying
vertical load as it had been designed to do. It is however important to note that the stability of the

truss against lateral movement has not been ensured yet(Eskandari and Korouzhdeh 2016). The
chords of the compression will tend to buckle in the direction which is perpendicular to the
truss’s plane. Besides, wind loads will also exert forces which are perpendicular to the plane of
the truss. The corrective for this particular problem will be to use the system of bracing. Battens
and purlins may be used as part of the lateral bracing system. During the process of bracing, at
least each point of the panel will be braced out of the movement plane. X-bracing in the plane
will be added to form a system which is structurally sound(Kala 2013).
Part b
.
Starting with joint C. The Equilibrium at joint C Applying Lami's theorem

Joint B has three unknown force. So we select joint D, which has only two unknown forces .