Mechanics of Materials - Angle of Torsion

In summary, the homework statement is that the attempt at a solution uses the wrong formula for twist angle at B. The equation is correct, but the value for Io is wrong.
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  • #2
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.
 
  • #3
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
 
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  • #4
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:
  • #5
Moderator's note: thread moved to "Engineering, Comp Sci, & Technology"
 
  • #6
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!
 
  • #7
Last edited by a moderator:

What is the angle of torsion?

The angle of torsion, also known as the twist angle, is the amount of rotation that occurs in a material when it is subjected to a torsional force.

How is the angle of torsion calculated?

The angle of torsion can be calculated using the formula: θ = TL/GJ, where θ is the angle of torsion, T is the applied torque, L is the length of the material, G is the shear modulus, and J is the polar moment of inertia.

What is the relationship between angle of torsion and shear stress?

The angle of torsion is directly proportional to the shear stress in a material. This means that as the angle of torsion increases, so does the shear stress and vice versa.

What factors affect the angle of torsion?

The angle of torsion is affected by the material's shear modulus, the applied torque, and the length and shape of the material. It is also influenced by external factors such as temperature and the presence of any imperfections or defects in the material.

Why is the angle of torsion important in mechanics of materials?

The angle of torsion is an important concept in mechanics of materials as it helps engineers and scientists understand how materials behave under torsional loads. It is also crucial in designing and analyzing structures and machines that are subjected to twisting forces.

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