Stress and Strain Factor of Safety

Click For Summary

Discussion Overview

The discussion revolves around calculating the factor of safety in relation to stress and strain for steel components, specifically focusing on a round steel rod and a steel hanger. Participants are seeking assistance with setting up calculations based on given ultimate strengths, loads, and dimensions.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant presents a problem involving a round steel rod with an ultimate strength of 560MPa and a required factor of safety of 6, asking for help in calculating the maximum permissible load based on its diameter of 6.9cm.
  • Another participant poses a similar question regarding a steel hanger, also with an ultimate strength of 560MPa, needing to determine the factor of safety while supporting a load of 71000N and having a cross-sectional area of 5 cm squared.
  • A participant expresses confusion about unit conversions, questioning whether to convert cm squared to metre squared and MPa to Pa to resolve discrepancies in their calculations.
  • One participant suggests starting with the definition of the factor of safety and its relationship between maximum stress and ultimate stress.

Areas of Agreement / Disagreement

There is no consensus on the calculations or methods to approach the problems, as participants are at different stages of understanding and resolving their questions.

Contextual Notes

Participants have not fully clarified the assumptions regarding unit conversions or the specific formulas to apply, leading to potential misunderstandings in their calculations.

nettie2311
Messages
14
Reaction score
0

Homework Statement





Hello,

I've been given a question:

The ultimate strength of a round steel rod is 560MPa. If a factor of safety is 6 is required, what is the maximum permissible load for the rod if it has a diameter of 6.9cm?

If anyone can explain how to set up this calculation and how I go about solving this question it would be great.
 
Physics news on Phys.org

Homework Statement



Hello,

I have been given the question:

What is the factor of safety of a steel hanger having an ultimate strength of 560MPa and supporting a load of 71000N. The steel hanger in question has a cross sectional area of 5 cm squared.

If anyone can help me set up the formula and explain how I go about solving this question that would be great.
 
Hello,

Thanks for the reply...I've tried calculating it and I'm pretty close but for some reason a few decimal places off.

I'm guessing I need to convert cm squared to metre squared? And MPa to Pa? I'm getting all confused.
 
Start with the definition of the factor of safety, how does it relate the maximum stress to the ultimate stress?
 

Similar threads

  • · Replies 61 ·
3
Replies
61
Views
13K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
7
Views
7K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 4 ·
Replies
4
Views
11K
  • · Replies 15 ·
Replies
15
Views
7K
  • · Replies 8 ·
Replies
8
Views
12K
  • · Replies 2 ·
Replies
2
Views
2K