Joint Loaded in Tension: Solving for Component CSA | Step-by-Step Guide

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Discussion Overview

The discussion revolves around solving a homework problem related to calculating the cross-sectional areas (CSAs) of materials in a joint loaded in tension. Participants are exploring the necessary steps to determine the applied stress and how to approach the problem effectively.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • The original poster expresses confusion about how to begin solving the problem and suggests that calculating the CSAs of the materials is a necessary first step.
  • Some participants emphasize the importance of understanding how to compute different types of stress and suggest reviewing textbook materials for relevant equations.
  • One participant provides specific calculated CSAs for steel and timber but later receives feedback that these calculations are incorrect.
  • Another participant mentions the need to clarify the meanings of specific stress symbols and hints at additional failure modes indicated by the problem's parameters.
  • There are corrections regarding the calculation of CSAs, with one participant providing revised values for steel, timber, and brass, while also seeking clarification on how to use maximum stress values in the context of the problem.
  • Participants stress the necessity of showing work and listing relevant equations, indicating that direct answers or solutions cannot be provided.

Areas of Agreement / Disagreement

There is no consensus on the correctness of the calculated CSAs, as multiple participants have pointed out errors in the original calculations. The discussion remains unresolved regarding the correct approach to the problem and the specific values needed for further calculations.

Contextual Notes

Participants have noted the importance of following proper unit conventions and the necessity of understanding the relationships between stress, area, and material strength. There are unresolved aspects regarding the definitions of terms and the implications of the problem's parameters.

elephunk
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Homework Statement



Stuck on this for quite some time.

http://img685.imageshack.us/img685/1387/22580211.png

Homework Equations


The Attempt at a Solution



I've drawn the component parts in question. Don't know where to even begin to find this solution (dont have my scanner here too). I am assuming I need to work out the CSAs of all the materials then move on from there? Need some assistance.

Thanks,
 
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elephunk: Cross-sectional areas are one thing you need. Read a few pages in your textbook to find out how to compute the different types of stress. You must list relevant equations yourself, and show your work; and then someone might check your math.
 
Can you suggest two textbooks I can find this in? I've got technology of engineering materials and mechanical engineering principles and they don't appear to go in depth with stress.This is unlike anything I've done before and I've been searching for the information for days.

I've calculated the CSAs.

Steel CSA = 0.1mm^2
Timber CSA = 0.3mm^2

Thanks
 
elephunk: Your cross-sectional areas are currently incorrect. Try again. Applied stress in this problem is force divided by area. Compare that stress to the given material strength by dividing the applied stress by material strength, which is called stress level, R. The highest stress level governs (fails first). Also, per the international standard (ISO 31-0), always leave a space between a numeric value and its following unit symbol. E.g., 20 mm, not 20mm. Also, N/mm^2 is called MPa. Always use the correct unit symbol (MPa in this case), if a derived unit has a special name.
 
1. You need to be clear about the distinct meanings of s t and tau
2. The end distance given has a clue to another failure mode
 
Steel = 20x5 - (5x5)= 75 mm^2

timber = 20x15-15x5= 270 mm^2

brass = pi*D^2/4=19.625 mm^2

Those are the CSAs. So from then on what do I do with the tmax and smax values. I didn't quite understand what you mean?

This is so confusing for me sorry.
 
Your cross-sectional areas are incorrect. The diameter of the rivet is 10 mm. Try again. After that, compute the stress on the cross-sectional areas. The third sentence of post 4 tells you how to do that. You must list relevant equations yourself, and show your work. We are not allowed to give you the equations nor do your school assignment for you on this site. If you do not understand a particular sentence, explain exactly which part of the sentence or words you do not understand, and explain why you do not understand the words.
 

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