Load and Stress; 3 angles with different shapes corners

[adamkhalid02]

Summary: Each angle has a different type of corner, rectangular, circular, and triangular. Which one is the strongest?

All three angles are mounted in the ground and made of the same material. The same force ‘w’ towards the ground is acting on all angles, which one is the strongest?
Please explain why it is the strongest, I believe it is the circular one but can’t give a reason other than it has the most surface area to support the ‘w’.

 

[Lnewqban]

Welcome!
The triangular one could also have "the most surface area to support the ‘w’."
What have you studied about the subject?

 

[Baluncore]

The same force ‘w’ towards the ground is acting on all angles, which one is the strongest?

Normally I would say #2 is the strongest, because it has no concave notch that will focus energy to one point.
But in this special case, where the concave face is always under compression, I believe the answer would probably be #3, since the line between w and the foundation is straightest, which puts the least tension on the convex face.

But it is so easy to be distracted by an ellegant style.
Fundamentally, they all connect to the ground through the same section, which is also the section with maximum moment, so all structures have the same static limit. The answer will come down to material and fabrication process.

#2 has the lowest material costs,
#1 is easiest to fabricate from stock materials, while
#3 has the greatest additional structural weight, so it comes last.

 

[adamkhalid02]

Normally I would say #2 is the strongest, because it has no concave notch that will focus energy to one point.
But in this special case, where the concave face is always under compression, I believe the answer would probably be #3, since the line between w and the foundation is straightest, which puts the least tension on the convex face.

But it is so easy to be distracted by an ellegant style.
Fundamentally, they all connect to the ground through the same section, which is also the section with maximum moment, so all structures have the same static limit. The answer will come down to material and fabrication process.

#2 has the lowest material costs,
#1 is easiest to fabricate from stock materials, while
#3 has the greatest additional structural weight, so it comes last.

Thank you so much!

 

[berkeman]

Thank you so much!

So was this question for schoolwork? What was the answer you found in your grading? What class was this for, and did it involve any FEA analysis?

 

[Baluncore]

If this was schoolwork, why did the OP not post the original diagram?

 

[berkeman]

If this was schoolwork, why did the OP not post the original diagram?

Beats me, let's ask Adam...