Tensile strain / safety factors

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SUMMARY

The discussion centers on the calculation of shear stress and tensile stress in bolts, specifically referencing the normal and tangential components of force. Participants highlight the importance of using the formula for stress, defined as force divided by area (F/A), to accurately assess these stresses. Acknowledgment of previous mistakes in calculations emphasizes the need for careful attention to detail in engineering assessments.

PREREQUISITES
  • Understanding of shear stress and tensile stress concepts
  • Familiarity with force components in mechanical engineering
  • Knowledge of basic stress calculation formulas
  • Experience with bolt mechanics and material properties
NEXT STEPS
  • Research the calculation methods for shear and tensile stress in mechanical components
  • Explore the implications of safety factors in engineering design
  • Learn about the properties of different bolt materials and their stress limits
  • Investigate advanced topics in failure analysis related to bolts and fasteners
USEFUL FOR

Mechanical engineers, structural engineers, and students studying materials science or mechanical design will benefit from this discussion, particularly those focused on bolt mechanics and safety factor calculations.

giraffasaurusrex
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Homework Statement
Hi all.. I would really appreciate any help anyone can give me! I have tried to solve the following and although I understand a) (I think!), I am really unsure between the two possible formulas to use for b), and my answer for c) just seems wrong..! If I am making an obvious mistake I'd love to know..

Thanks in advance!


A load of 50 kN is applied to the tensile member shown in fig. 3. The axis of the rivet is at 30° to the line of action of the load F.

a) calculate the tensile and shear stresses in a 20mm diameter rivet.
b) calculate the tensile strain in a 20mm diameter rivet.
c) if the ultimate tensile stress of the rivet material is 350MPa and it's modulus of elasticity is 150GPa, find the safety factor for the above rivet in operation.
Relevant Equations
Stress=force/area
Strain=Lx/Lo
Elasticity=stress/strain
(Area=πd sq/4)
PXL_20210929_202858757.jpg
 

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Your normal and tangential components of force look OK. What is the shear stress and tensile stress in the bolt?
 
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Likes   Reactions: giraffasaurusrex
Oh no! Thank you, yes I see the mistake now - I want to say I was focusing on B and C but that would be shameless self promotion (:
This would be the F/A I forgot wouldn't it..? Thank you so much!
 

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