# Determine the shear stress in the bolts

• Shivansh Joshi
Then use that force in the shear stress formula to find the shear stress on each bolt. In summary, to determine the shear stress in the bolts of a flanged coupling connecting two coaxial shafts, with six 15 mm diameter bolts equally spaced around a 300 mm diameter pitch circle, when 300 kW is transmitted at 400 revs/min, one can use the formula Shear stress (MPa) = Force (Newtons) / Area (mm^2) and Torque = power/ angular velocity. If the bolts are equally loaded, one can calculate the torque and then use it to find the shear force at each bolt, which can then be used to
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.

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

#### Attachments

• torque and bolts.jpg
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## 1. What is shear stress in bolts?

Shear stress in bolts is the force that causes two or more parts of a material to slide past one another in opposite directions. In this case, it refers to the force that causes the bolts to experience a shearing or sliding motion.

## 2. How is shear stress in bolts calculated?

Shear stress in bolts is calculated by dividing the force applied to the bolt by the cross-sectional area of the bolt. This results in units of force per unit area, such as pounds per square inch (psi) or newtons per square meter (N/m^2).

## 3. What factors affect the shear stress in bolts?

The shear stress in bolts can be affected by several factors, including the type and grade of the bolt, the force applied to the bolt, the material and thickness of the parts being joined, and the environmental conditions (such as temperature and moisture).

## 4. How does shear stress in bolts relate to the strength of a structure?

Shear stress in bolts is an important factor in determining the overall strength of a structure. If the shear stress in the bolts exceeds the maximum allowable stress, it can lead to failure or damage of the structure.

## 5. What are some common methods for reducing shear stress in bolts?

There are several ways to reduce shear stress in bolts, including using higher grade bolts, increasing the number of bolts, increasing the size or thickness of the parts being joined, and using alternative methods of fastening, such as welding or adhesives.

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