Statics Truss Problem Involving Method of Sections

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SUMMARY

The discussion centers on solving a statics truss problem using the Method of Sections, specifically for a traveling bridge crane with slender tie rods that cannot support compression. The user successfully calculated vertical reactions at points A and B, yielding Ay = 956 kN and By = 244 kN. However, they encountered challenges in making a cut that only intersects three members, as required by the Method of Sections. A key insight provided is that one of the crossed members can be ignored due to its compression state, allowing for a solvable cut near point E.

PREREQUISITES
  • Understanding of static equilibrium equations (ƩM=0, ƩFy=0, ƩFx=0)
  • Familiarity with the Method of Sections in truss analysis
  • Knowledge of force analysis in structural engineering
  • Ability to identify and ignore members under compression in truss systems
NEXT STEPS
  • Study the Method of Sections in detail for truss analysis
  • Learn how to identify and analyze members under tension and compression
  • Practice solving truss problems with varying member configurations
  • Explore software tools for structural analysis, such as SAP2000 or ANSYS
USEFUL FOR

Engineering students, structural analysts, and professionals involved in truss design and analysis will benefit from this discussion, particularly those focusing on the Method of Sections and static equilibrium in structures.

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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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