Calculate Factor of Safety for Tensile & Shear Stress - Ben

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SUMMARY

The discussion focuses on calculating the tensile stress, shear stress, and factor of safety (FOS) for a bolt under specific loading conditions. Key parameters include a tensile strength of 460 MPa, shear stress of 280 MPa, a bolt diameter of 8 mm, and a force of 9 kN applied at an angle of 50 degrees. The participant, Ben, received feedback indicating errors in unit conversion and bolt area calculation, while confirming that the force breakdown into shear and tension components was correctly approached. Additionally, it was emphasized that bolts subjected to simultaneous shear and tension are weaker than when these loads are applied individually, necessitating a different calculation for the overall safety factor.

PREREQUISITES
  • Understanding of tensile and shear stress concepts
  • Familiarity with factor of safety calculations
  • Knowledge of unit conversions, particularly from mm² to m²
  • Basic principles of mechanics of materials
NEXT STEPS
  • Review calculations for tensile and shear stress in mechanical components
  • Learn about the implications of combined loading on bolts
  • Study the methodology for calculating the factor of safety for bolts under combined loads
  • Explore software tools for stress analysis, such as ANSYS or SolidWorks Simulation
USEFUL FOR

Mechanical engineers, structural engineers, and students studying mechanics of materials who are involved in the design and analysis of bolted connections.

Ben_Walker1978
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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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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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