How Is Maximum Shear Stress Calculated for a Solid Circular Shaft?

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Discussion Overview

The discussion centers around the calculation of maximum shear stress for a solid circular shaft, specifically in the context of a homework problem involving a steel drive shaft. Participants are exploring the necessary equations and steps to determine the torque and subsequently the maximum shear stress under specified operating conditions.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant presents a homework statement detailing the dimensions and material properties of a solid circular steel drive shaft, along with the power and rotational speed it operates under.
  • Another participant notes the absence of equations or calculations related to the torque acting on the shaft, suggesting that this information is necessary for further analysis.
  • A subsequent post reiterates the request for guidance on how to proceed with the calculations.
  • A later reply provides a formula for torque, indicating a calculation involving the power and rotational speed, but does not clarify how this relates to the maximum shear stress.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on how to calculate the maximum shear stress, as there is a lack of detailed equations or steps provided by the original poster. The discussion remains unresolved regarding the specific calculations needed.

Contextual Notes

Limitations include the absence of detailed calculations or equations from the original poster, which may hinder the ability to determine the maximum shear stress effectively. The discussion also depends on the correct application of torque and shear stress formulas.

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Homework Statement



A solid circular steel drive shaft is 4 m long and 60 mm diameter. The modulus of
rigidity of the steel is 85 GPa and its maximum allowable shear strength is 150 MPa.
The shaft is used to transmit a power of 30 kW while rotating at 500 rev/min.
Calculate the following:

a) the torque carried by the rotating shaft [2 marks]


Homework Equations



J=pi(R^4)/2=1.272*10^6 mm^4

T=(J*maximum shear stress)/r




Homework Statement



How do i get the maximum shear stress?
 
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You haven't shown any equations or work to determine the amount of torque acting on the shaft at the rated conditions.
 
SteamKing said:
You haven't shown any equations or work to determine the amount of torque acting on the shaft at the rated conditions.

ok well could u tell me what i should do
 
oh T=30000/(500*(pi/30))
 

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