Calculate Factor of Safety for Tensile & Shear Stress - Ben

In summary, the conversation involves a discussion about calculating tensile stress, shear stress, and factor of safety for a given set of values including tensile strength, shear stress, bolt diameter, force, and angle. The person asking for help is checking if their calculations are correct and if the correct answers have been obtained. Some errors were identified in the calculations and suggestions for corrections were provided.
  • #1
Ben_Walker1978
113
6

Homework Statement


Hello. I am trying to work out, the tensile stress, shear stress, and factor of safety.
I have these to apply to it.
Tensile strength = 460MPa
Shear Stress = 280MPa
Bolt Diameter of 8mm
Force of 9kN
Angle (a) = 50 degrees.

Homework Equations


Diagram[/B]
Engineering.png


The Attempt at a Solution


Attempt at solution is attached below.
Is what i done correct?
And the correct answers?
Thanks.
Ben.
Factor.png
 

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  • #2
Your conversion from mm^2 to m^2 is off by a multiple. And your calculation for bolt area is not correct. Otherwise, your force breakdown into shear and tension components looks good, and your FOS calcs should be ok once you make the above corrections. Note, however, that bolts subjected to shear and tension at the same time are weaker than individually applied shear and tensile loads of the same values, and you need to calculate the overall safety factor differently.. I don't believe the problem is asking you to do this, but it is not clear.
 
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FAQ: Calculate Factor of Safety for Tensile & Shear Stress - Ben

What is the purpose of calculating the factor of safety for tensile and shear stress?

The factor of safety is a measure of the structural integrity and safety of a material or structure. It is calculated by dividing the maximum stress that a material can withstand by the actual stress that it is being subjected to. This calculation helps to ensure that a material or structure is strong enough to withstand the expected loads and stresses without failing.

How do you calculate the factor of safety for tensile and shear stress?

To calculate the factor of safety, you first need to determine the maximum stress that a material can withstand under ideal conditions, known as the ultimate strength. Then, you need to determine the actual stress that the material is experiencing, either through calculations or physical testing. Finally, divide the ultimate strength by the actual stress to get the factor of safety.

What is a safe factor of safety for tensile and shear stress?

A safe factor of safety will vary depending on the specific material, application, and safety standards. In general, a factor of safety of 2 or higher is considered safe, meaning that the material can withstand twice the expected load or stress without failing. However, certain industries may require higher factors of safety for added precaution.

How does the factor of safety differ for tensile and shear stress?

The factor of safety for tensile and shear stress is calculated in the same way, by dividing the maximum strength by the actual stress. However, the maximum strength and actual stress values will differ for tensile and shear stress, as they are two different types of stress that act on a material in different ways.

What factors can affect the factor of safety for tensile and shear stress?

The factor of safety can be affected by various factors, such as the material properties, design and manufacturing processes, environmental conditions, and load conditions. It is important to consider all of these factors when calculating the factor of safety to ensure the accuracy and reliability of the results.

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