Finding the average shear stress

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SUMMARY

The discussion centers on calculating the average shear stress along a cylindrical area of a plate and the bolt head. Key parameters include a plate thickness of 30 mm, a bolt head thickness of 8 mm, a bolt head diameter of 18 mm, and a bolt shank diameter of 7 mm, with an axial load of 8 kN. The Ultimate Shear Stress Equation (T(u) = F/A) and the Area of a Circle formula (A = (pi*d^2)/4) are essential for these calculations. The participant successfully solved the problem by clarifying their approach and focusing on the necessary calculations.

PREREQUISITES
  • Understanding of shear stress calculations
  • Familiarity with the Ultimate Shear Stress Equation
  • Knowledge of geometric area calculations, specifically for circles
  • Basic principles of mechanics of materials
NEXT STEPS
  • Study the derivation and application of the Ultimate Shear Stress Equation
  • Learn about calculating shear stress in different structural components
  • Explore the concept of annular areas and their significance in mechanical design
  • Investigate normal stress calculations in cylindrical structures
USEFUL FOR

Mechanical engineers, structural analysts, and students studying mechanics of materials will benefit from this discussion, particularly those focusing on shear stress calculations in cylindrical components.

nick miller
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Homework Statement


Find the shear stress alone the cylindrical area of the plate, and the average shear stress in the bolt head along the cylindrical area.

the plate is 30 mm thick

bolt head is 8 mm thick

bolt head diameter is 18mm

bolt shank diameter is 7 mm

shank has 8 kn along it

Homework Equations


Ultimate Shear Stress Equation: [/B]T(u) = F/A

Area of a Circle: A = (pi*d^2)/4

The Attempt at a Solution



For the plate, would i plug 8 kN into "F" variable, and multiply the area of the bolt head by the thickness of the plate??

upload_2015-6-17_15-37-42.png
 
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What is the annular area of the shank? What is the axial force acting on this area? What is the normal stress on the shank?

Chet
 
Chestermiller said:
What is the annular area of the shank? What is the axial force acting on this area? What is the normal stress on the shank?

Chet
thanks for the reply chet however i have already solved this problem. The only thing needed was a clear head. Once again thanks for the response it is appreciated.
 

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