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631 bytes added ,  21:42, 25 December 2020
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=== Structural Analysis ===
=== Structural Analysis ===
[[File:Station-truss-sch-analysis.png|alt=|frame|Truss model for analysis]]


==== Analysis Model ====
==== Analysis Model ====
[[File:Station-truss-sch-analysis.png|frameless|719x719px]]
For this calculation only axial forces in the members are taken into account i.e. moment continuity is neglected.
For this calculation only axial forces in the members are taken into account i.e. moment continuity is neglected.


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Vertical support reaction: <math>\frac{500}{2}=250kN</math>
Vertical support reaction: <math>\frac{500}{2}=250kN</math>
[[File:Station-truss-sch-end-support.png|left|frame|FBD at end support]]
Use the free body diagram at the end support:


*
<math>\theta = \tan^{-1}(\frac{BC}{AC})=\tan^{-1}(\frac{5}{5})=\tan^{-1}(1)=45^\circ</math>
 
<math>\sum{F_y}=250+F_{AB}\times\sin(\theta)=0</math>
 
<math>F_{AB}=\frac{-250}{\sin(\theta)}=\frac{-250}{\sin(45)}=-356kN</math>
 
<math>F_{AB}</math> is negative, i.e. the force in AB is compressive
 
 
[[File:Station-truss-sch-truss-cut.png|thumb|539x539px|Truss with cut for further analysis]]
Calculate the force in the chords at the centre of the truss, use a cut just to the left of the central post.