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=== Structural Analysis === | === Structural Analysis === | ||
[[File:Station-truss-sch-analysis.png|alt=|frame|Truss model for analysis]] | |||
==== Analysis Model ==== | ==== Analysis Model ==== | ||
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. | |||