Physics - Question - Stress, Area & Factor of Safety?

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Discussion Overview

The discussion revolves around calculating the factor of safety for a bolt under tensile and shear stresses, given specific material properties and applied forces. Participants are seeking assistance with the calculations and methodologies involved in determining these factors of safety.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • Post 1 outlines the problem, providing the ultimate tensile stress, shear strength, bolt diameter, and applied force, and suggests formulas for calculating stress and factor of safety.
  • Post 2 emphasizes the need to determine both tensile and shear stresses and asks what attempts have been made so far by the original poster.
  • Posts 3 and 4 repeat the problem statement and request detailed workings for calculating the factors of safety in tension and shear, while also asking which factor is safer, indicating a need for clarity on the calculations.
  • A participant in Post 4 suggests that the original poster should first determine the vector components of the force acting along and perpendicular to the bolt's axis before proceeding with the calculations.

Areas of Agreement / Disagreement

There is no consensus on the calculations or methodologies, as participants are at different stages of understanding and are seeking guidance. Multiple competing views on how to approach the problem are present, particularly regarding the calculations needed to determine the factors of safety.

Contextual Notes

Participants have not provided specific calculations or assumptions regarding the distribution of forces or the method for determining the vector components, which may affect the outcomes of their calculations.

Who May Find This Useful

This discussion may be useful for students or individuals studying mechanics of materials, particularly those interested in understanding factors of safety in engineering applications involving bolts and similar fasteners.

Danyolb
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Diagram: http://img11.imageshack.us/img11/2442/boltlw.jpg

Question: The material for the bolt shown in the angled joint has an ultimate tensile stress of 600MPa and a shear strength of 250MPa. The diameter of the bolt is 10mm. Determine the factor of safety. Assume F=9KN.

Stress = Applied Force/ cross-sectional area
Factor of safety = ultimate tensile strength / actual tensile stress
 
Last edited by a moderator:
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The bolt is subject to both tensile and shear stresses. You have to determine each. What have you tried so far?
 
I'm also stuck on virtually the same question as Danyolb's (different values though), so can anyone help in showing the full workings of the following please:

Diagram: http://img11.imageshack.us/img11/2442/boltlw.jpg

Question: The material for the bolt shown in the angled joint has an ultimate tensile strength of 600MPa and a shear strength of 250MPa. The diameter of the bolt is 10mm. Assume K=9kN. Determine (1) Factor of safety in tension, (2) Factor of safety in shear & (3) State which factor of safety is safer of the two.


Thanks.
 
Last edited by a moderator:
Matty G said:
I'm also stuck on virtually the same question as Danyolb's (different values though), so can anyone help in showing the full workings of the following please:

Diagram: http://img11.imageshack.us/img11/2442/boltlw.jpg

Question: The material for the bolt shown in the angled joint has an ultimate tensile strength of 600MPa and a shear strength of 250MPa. The diameter of the bolt is 10mm. Assume K=9kN. Determine (1) Factor of safety in tension, (2) Factor of safety in shear & (3) State which factor of safety is safer of the two.


Thanks.
Matty, you are going to have show some attempt before we can help. You should first determine the vector components of the force acting along the axis of the bolt and perpendicular to its axis.
 
Last edited by a moderator:

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