# Finding the average shear stress

• nick miller
In summary, the conversation was about finding the shear stress on a cylindrical area of a plate and the average shear stress on the bolt head. The plate was 30 mm thick, the bolt head was 8 mm thick with a diameter of 18 mm, and the bolt shank had a diameter of 7 mm and was subjected to 8 kN of force. The equations used were the Ultimate Shear Stress Equation and the Area of a Circle formula. The conversation also touched on finding the annular area of the shank, the axial force acting on this area, and the normal stress on the shank.
nick miller

## 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 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??

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.

## What is shear stress?

Shear stress is the force per unit area that acts parallel to a surface, causing it to deform or slide. It is a measure of the internal resistance of a material to shearing forces.

## How is shear stress calculated?

Shear stress is calculated by dividing the force applied parallel to the surface by the area over which it is applied. The unit of shear stress is usually in pascals (Pa) or newtons per square meter (N/m^2).

## What is the difference between average shear stress and maximum shear stress?

The average shear stress is the average of the shear stress values across a specific area, while the maximum shear stress is the highest shear stress value in that area. Average shear stress gives an overall picture of the stress distribution, while maximum shear stress indicates the point of highest stress.

## Why is finding the average shear stress important?

Finding the average shear stress is important in understanding the overall stress distribution in a material or structure. It can help determine if the material or structure can withstand the applied forces and if any weak points need to be reinforced.

## What are some common applications of calculating average shear stress?

Calculating average shear stress is commonly used in engineering and materials science, particularly in the design and analysis of structures and machines. It is also important in the study of fluid mechanics and the behavior of fluids under shear forces.

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