Mechanics of Materials - Angle of Torsion

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Discussion Overview

The discussion revolves around a homework problem related to the mechanics of materials, specifically focusing on the angle of torsion in a structural element subjected to twisting moments. Participants explore the calculations involved in determining the maximum stress and the twist angle at a specific point in the structure.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant expresses difficulty in calculating the angle of torsion despite using the formula correctly.
  • Another participant points out that the maximum stress occurs in section CD with a moment of 400 N-m, contrasting with the earlier mention of section AC having a moment of 200 N-m.
  • There is a discussion about the correct value for the polar moment of inertia (Io), with one participant admitting confusion between Io and Ix.
  • Participants discuss that the twist angle at point B should be the sum of the twist angles from each section.
  • One participant revises their calculations but finds that the results do not match the expected angle of 1.18 degrees.
  • Clarifications are made regarding the need to express results in radians and the importance of proper sign usage in calculations.
  • A later post indicates that the participant successfully obtained the result after further attempts.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the calculations, as there are multiple points of confusion regarding the values used and the methods applied. Some participants agree on the method but disagree on the results and interpretations of the calculations.

Contextual Notes

There are unresolved issues regarding the correct application of formulas and the interpretation of results, particularly concerning the polar moment of inertia and the conversion of angles between degrees and radians.

Who May Find This Useful

Students and professionals interested in mechanics of materials, particularly those dealing with torsion and structural analysis, may find this discussion relevant.

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Max stress occurs in section CD where the moment is 400 N-m, not in AC where the moment is 200 N-m.

You also have the wrong value for Io.

Twist angle at B is the sum of the twist angles of each section.
 
Max stress occurs in section CD where the moment is 400 N-m, not in AC where the moment is 200 N-m.

Fair enough, I miswrote-- but I got the right answer yes?

You also have the wrong value for Io.

Where? I used the right formula according to wiki, to my understanding my answer is wrong because of this ->
Twist angle at B is the sum of the twist angles of each section.
EDIT: Retried it with what I think is your idea...
http://img204.imageshack.us/img204/7044/applying.jpg

Adding the results together does not equate to 1.18 deg
 
Last edited by a moderator:
Femme_physics said:
Fair enough, I miswrote-- but I got the right answer yes?
Indeed . Sorry.
Where? I used the right formula according to wiki, to my understanding my answer is wrong because of this ->
My apologies again, you are correct...I was thinking Ix instead of Io.
EDIT: Retried it with what I think is your idea...
http://img204.imageshack.us/img204/7044/applying.jpg

Adding the results together does not equate to 1.18 deg
No, but your method is correct. Remember that the result will be in radians. And don't forget the proper use of your plus and minus signs when doing the addition.
 
Last edited by a moderator:
Moderator's note: thread moved to "Engineering, Comp Sci, & Technology"
 
Indeed . Sorry.
My apologies again, you are correct...I was thinking Ix instead of Io.

:)

No, but your method is correct. Remember that the result will be in radians. And don't forget the proper use of your plus and minus signs when doing the addition.

Ah...now I see.

Alright, then. I'll give it a crack when I get home today. Thanks!
 
Last edited by a moderator:

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