Statics Truss Problem Involving Method of Sections

AI Thread Summary
The discussion focuses on solving a statics problem involving a traveling bridge crane's truss, specifically determining the forces in members DF and EF and the horizontal reaction at point A. The user has calculated vertical reactions at points A and B, finding Ay to be 956 kN and By to be 244 kN. However, they encounter difficulty using the method of sections due to the presence of multiple members in potential cuts. A suggestion is made to inspect cuts near point E, where one crossed member can be ignored as it would be in compression. The conversation emphasizes the need for strategic cuts to simplify the analysis.
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Homework Statement


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In the traveling bridge crane shown all crossed members are slender tie rods incapable of supporting compression. Determine the forces in members DF and EF and find the horizontal reaction on the truss at A. Show that if CF=0, DE=0 also.

-Determine force in members DF and EF
-Find the horizontal reaction on the truss at A
-Show that if CF=0, DE=0 also
-Crossed members can't support compression


Homework Equations


ƩM=0
ƩFy=0
ƩFx=0

The Attempt at a Solution


I solved for the vertical reactions at A and B.
ƩMb=0=(1000kN)(24m)+(200kN)(52m)-(Ay)(36m)
Ay= 956kN

ƩFy=0=956kN-1000-200+By
By=244kN

ƩFx=0=Ax-Bx
Ax=Bx

I tried summing moments about E to find the horizontal reactions but they just cancel out.

I know I have to use method of sections to solve but there is nowhere to make a cut that only cuts 3 members. Everywhere I cut except the very bottoms and far left side has at least 4 members to cut through. There isn't even a way to simultaneously solve for a 4 cut and a 3 cut.

Any advise on what to do from here would be greatly appreciated.

Thanks
 
Physics news on Phys.org
There is at least one cut through 4 members that is solvable because, by inspection, one of the crossed members would be in compression, and therefore ignorable. Hint: somewhere near E...
 
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