Calculating the maximum shear stress in a shaft

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SUMMARY

The discussion centers on calculating maximum shear stress in a shaft using torque and shear stress equations. The user initially misapplied the formulas, calculating force from torque incorrectly. The correct approach to determining shear stress involves understanding that the value obtained does not represent the maximum shear stress in the context of torsional stress. The user seeks clarification on the significance of the shear stress value derived from their calculations.

PREREQUISITES
  • Understanding of basic mechanics, specifically torque and shear stress concepts.
  • Familiarity with the formulas: Torque = Force x Distance and Shear stress = Force/Area.
  • Knowledge of torsional stress and its implications in shaft design.
  • Ability to interpret engineering diagrams and schematics related to shafts.
NEXT STEPS
  • Study the tutorial on maximum shear stress in shafts provided in the discussion.
  • Research the differences between shear stress and torsional stress in mechanical engineering.
  • Learn about the implications of shear stress distribution along the length of a shaft.
  • Explore advanced topics in material strength and failure analysis related to shafts.
USEFUL FOR

Mechanical engineers, students studying mechanics of materials, and professionals involved in shaft design and analysis will benefit from this discussion.

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Homework Statement


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Homework Equations


Torque = Force x Distance
Shear stress = Force/Area

3. The Attempt at a Solution
I know how to do this question as I've seen the mark scheme. However, initially I did it wrong. What I did was as follows:

Torque = Force x Distance
therefore Torque/Distance = Force
therefore Force = 200/(50/100) = 400 N

Then I used Shear stress = Force/Area and plugged in the value of 400N and that of the area to find the shear stress.

As I said, I know that this is not the way to calculate the answer to this question.
However, I want to know, what shear stress does the shear stress obtained via this method actually refer to? As in, when I did the force (that I found via T=Fr) divided by the area of the shaft, I got a value for shear stress, what is this value referring to? The shear stress at the end of the shaft? Or?
 
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