Solving a Mechanical Engineering Problem: AISI 1020 HR Steel Shaft

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Discussion Overview

The discussion revolves around a mechanical engineering problem involving the analysis of stresses in a shaft made of AISI 1020 HR steel. Participants are exploring how multiple loads, moments, and torques affect the stress state at specific points on the shaft, particularly at point B, and the implications for potential failure.

Discussion Character

  • Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant describes the problem involving a shaft subjected to multiple transverse loads, moments, and torques, seeking to understand the stress state at point B and its relationship to point C.
  • Another participant raises a concern about the shaft's acceleration, implying that dynamic effects may need to be considered.
  • A different participant suggests that the solution requires summing all bending moments and torques at the point of interest, indicating a need for a comprehensive equilibrium analysis rather than focusing on individual loads.

Areas of Agreement / Disagreement

Participants have not reached a consensus, as there are differing views on the approach to analyzing the stresses and the implications of the shaft's acceleration.

Contextual Notes

There may be missing assumptions regarding the loading conditions and the dynamic effects of acceleration, as well as unresolved details about the equilibrium calculations needed for the analysis.

aortucre
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Hey. This is my first post, I'm a Senior in Mechanical Engineering, I will help others as far as I can.

I'm trying to solve the problem from the picture. The shaft is loaded with 2 transverse loads, 2 moments and 2 torques. The critical point is immediately to the left of "B". The material is AISI 1020 HR steel. The shaft has a diameter of 1.00 inch. I'm trying to figure out if the shaft will fail.

As of now I've figured out that I have to obtain the general stress state at point B. My question is, how does the stress at point "C" affect the stress at point "B"??

If there was only 1 moment and 1 torque affecting point "B", that would be an easy problem, but having the other stress is confusing me.

Any ideas?

THAKS!
 

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Are you concerned about the fact that your shaft is accelerating like a bandit?
 
The shaft is pinned at A and D. Thanks for your reply!
 
Then why is there a problem? What you need is the sum of all bending moments at the point of interest, not just the moment applied at that point, and the sum of all torques, not simply the torque applied at that point, where you calculate the equilibrium condition for an element at that location.
 

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