The lengthy boom of an overhead construction crane, a portion of
which is shown is an
example of a periodic structure- one which is composed of repeated
and identical
structural units. Use the method of sections to find the forces in
members FJ and GJ
Homework Answers
For force in GJ consider a cut section parellel to GF cutting GJ ,JF and IF .
Now let forces in GJ JF and IF be Fgj ,Fjf , Fif
The forces Fjf , Fif anr concurrent at f hence will not produce any moment about F
only Fgj will produce moment
so Mf= 0
Fgj (GF) = 5000g(2/2)
Fgj (2) = 5000g(2/2)
Fgj = 5000g/2 =24.5 KN Tensile
Similarly taking section from I cutting FJ and GJ
Only forces are Fgj and Fjf distance of perpendicular from G on JF is 1.414 that is root 2
so MG = 0
Fjf (1.414) = 5000g*1
Fjf =34.64 KN Tensile
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