Optimal Cross Section for Handling Tension and Compression in Boomilever Design

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SUMMARY

The optimal cross-section for a boomilever designed to handle both tension and compression effectively is critical for supporting a weight of 15 kg at a distance of 40 cm from the wall. The discussion highlights the use of two compression chords and two tension chords, with materials such as balsa and bass wood being considered for their respective strengths in tension and compression. It is established that the tension chord should ideally have a rectangular cross-section, with the thicker dimension oriented to resist downward forces. The terminology used in the discussion, including "chord" and "member," reflects a divergence in engineering language, but the focus remains on achieving structural efficiency.

PREREQUISITES
  • Understanding of structural engineering principles, particularly tension and compression.
  • Familiarity with materials science, specifically the properties of balsa and bass wood.
  • Knowledge of beam design and cross-sectional shapes, such as rectangular and I-beam configurations.
  • Basic grasp of mechanics of materials and load distribution in structural members.
NEXT STEPS
  • Research the mechanical properties of balsa and bass wood for structural applications.
  • Learn about beam design principles, focusing on optimal cross-sectional shapes for tension and compression.
  • Explore the use of I-beams and other structural shapes in engineering for enhanced load-bearing capabilities.
  • Study the concepts of struts and ties in structural mechanics to differentiate between members in tension and compression.
USEFUL FOR

This discussion is beneficial for engineering students, science Olympiad participants, and hobbyists involved in structural design, particularly in the context of lightweight constructions like boomilevers.

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Hey, first post! I happened upon this forum and after about ten seconds of perusing topic titles, decided this forum was definitely for me! Here is my question. What type of cross section would a beam need to be the most efficient at handling 1) tension and 2) compression.

I am working on a science olympiad boomilever, kind of like someone else who made a thread recently. I attached a picture (hopefully correctly) that shows what the boomilever will look like basically. It has to support a 15 kg weight 40 cm from the wall, and be as light at possible, like 10 or 15 grams (!). Heres what I have in mind There will be two 40 cm compression chords, and one 45 cm tension chord. The lever will be mounted by one bolt just above where the tension chord meets the wall. The chords have to be smaller than 1/4" by 1/4", and I will make them by laminating several 1/16" sheets of balsa or bass. I have heard that bass is better for compression and balsa is better for tension, but bass is heavier, and I don't want 2/3 of my lever to be bass, so I think I will try first with all balsa, and switch to bass if the compression chords are too weak.

OK so for my second question. Would having only one tension chord be a lot weaker? Am I correct in thinking that the tension chord should be rectangular, with the thickest dimension supporting the downward pull? What about the cross section of the compression chords? Terribly sorry if all of this is unclear, be sure to look at the picture and ask if anything needs clarification.

Thanks!
 

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How long does it have to be, and how will it attach to the wall? There will be bending stresses that increase as the length of the compression member gets longer.

I would make the tension member out of something lightweight and strong, like fishing wire. Also, what do you mean by "compression chord"? Wires only work in tension.
 
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Everything has to be made out of wood and glue. The weight must be held 40 cm from the wall, so that is why the compression chords are perpendicular to the wall, and not the tension, because tension doesn't increase with length.

I think that I decided that I will have two tension chords, I will just angle them so that they are next to each other at the wall, and then farther apart at the end. The reason I need them to be close together is so that the attachment base (the heaviest part) is as small as possible.
 
What do you mean 'two tension chords'?

...and what is a chord? Do you plan on playing music?
 
cyrusabdollahi said:
What do you mean 'two tension chords'?

"chord n.
1. Math. & Aeron. etc. a straight line joining the ends of an arc, the wings of an aeroplane, etc.
...
4. Engin. one of the two principal members, usu. horizontal, of a truss."

(Concise Oxford Dictionary, 9th edition).
 
This is not an arc, or an airplane wing. Calling it a truss...maybe. It's a stretch.

The correct term is called a memeber.
 
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cyrusabdollahi said:
This is not an arc, or an airplane wing. Calling it a truss...maybe. It's a stretch.

The correct term is called a memeber.

Well, I suggest you get in touch with the Science Olympiad and tell them they don't know what they are talking about. See
http://www.soinc.org/events/boomilever/Boomilever_Design.pdf (page 2)

BTW what language is "memeber"? British English, not... :rolleyes:
 
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The science olympiad refers to it as a chord, but member is probably more accurate. Putting semantics aside, is one cross section inherently better at handling tension and or compression? Like an I-beam or what? Maybe the member just needs to be the full 1/4" in the direction it needs to provide support and thin(ner) in the direction it does not?
 
AlephZero said:
Well, I suggest you get in touch with the Science Olympiad and tell them they don't know what they are talking about. See
http://www.soinc.org/events/boomilever/Boomilever_Design.pdf (page 2)

BTW what language is "memeber"? British English, not... :rolleyes:

How about I just open my statics or mechanics of materials book, which no where does it call its members a chord?

Obviously, they DONT, or they would not use terms for an airfoil to talk about a structual member.
 
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  • #10
I've come across a few engineers who used "chord" in this sense in the past 30 years, and they all came from America. So I assumed it was an American English thing, like sidewalks and elevators. The Oxford (British English) dictionary is generally "pro-American" in spelling etc, so I wasn't surprised (or even surprized) to find the meaning there.

Personally I would call them "struts" and "ties" (depending whether they were in compression or tension) - not "structural members". But part of the "north/south" divide in the UK is that northerners prefer short germanic or norse origin words, and southerners prefer long latin or french-origin words instead...
 
  • #11
Either way, calling it a chord just sounds awkward to my ears. I don't want to bicker about something so trivial. :smile:

Classic example, the "two force member."

Dictionary.com said:
a constituent part of any structural or composite whole, as a subordinate architectural feature of a building.
 
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  • #12
The term chord is typically used for trusses. You have a top chord, and a bottom chord. The are different from the diagonals, or struts.
 

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