Determine the shear stress in the bolts

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SUMMARY

The discussion focuses on calculating the shear stress in six 15 mm diameter bolts used in a flanged coupling for coaxial shafts transmitting 300 kW at 400 revs/min. The shear stress is determined using the formula: Shear stress (MPa) = Force (Newtons) / Area (mm²). Two scenarios are analyzed: one where bolts are equally loaded and another where one bolt carries the entire torque. The confusion arises in relating torque to shear force, emphasizing the need for clarity in torque calculations.

PREREQUISITES
  • Understanding of shear stress calculations in mechanical engineering
  • Familiarity with torque and angular velocity relationships
  • Knowledge of cross-sectional area calculations for bolts
  • Basic principles of flanged coupling mechanics
NEXT STEPS
  • Study the relationship between torque and shear force in mechanical systems
  • Learn about the calculation of shear stress in bolted connections
  • Explore the mechanics of flanged couplings in detail
  • Investigate the effects of load distribution among multiple bolts
USEFUL FOR

Mechanical engineers, students studying mechanical design, and professionals involved in torque transmission and bolted joint analysis will benefit from this discussion.

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
 

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Torque = force times radius
 

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