Determine the shear stress in the bolts

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Homework Help Overview

The problem involves determining the shear stress in bolts connecting two coaxial shafts via a flanged coupling. The context includes calculating shear stress under different loading assumptions for the bolts when a specific power is transmitted at a given rotational speed.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between torque, shear force, and shear stress, with some expressing confusion about how to apply these concepts to the problem. There are attempts to clarify how torque relates to the shear force on the bolts.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the calculations and relationships between torque and shear stress. Some guidance has been offered regarding the formulas involved, but no consensus has been reached on the approach to solving the problem.

Contextual Notes

Participants note confusion regarding the assumptions made in the problem, particularly in relation to the loading of the bolts and how to calculate shear stress based on torque.

Shivansh Joshi

Homework Statement


Two coaxial shafts are to be connected by a flanged coupling having six 15 mm diameter bolts equally spaced around a 300 mm diameter pitch circle. Determine the shear stress in the bolts when 300 kW is transmitted at 400 revs/min;
(i) Assuming the bolts are equally loaded
(ii) Assuming one bolt to be ahead of the others and carrying the entire torque

Homework Equations


Shear stress (MPa) = Force (Newtons) / Area (mm^2)
Torque = power/ angular velocity

The Attempt at a Solution


I found torque but can't work out the shear stress. Also part (ii) of the question is confusing me.
 
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The bolts transfer torque across the flange. Since you say you have calculated the torque, what does that give you for the shear force at each bolt?
 
Chestermiller said:
The bolts transfer torque across the flange. Since you say you have calculated the torque, what does that give you for the shear force at each bolt?
I know that shear stress = shear load/ cross sectional area of bolt. But don't know how to work this out with torque
 
torque and bolts.jpg
 

Attachments

  • torque and bolts.jpg
    torque and bolts.jpg
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Torque = force times radius
 

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