Stress, Shear and other things?

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    Shear Stress
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SUMMARY

The discussion focuses on calculating mechanical properties related to stress and shear for specific engineering scenarios. Key formulas include stress as Force/Area, with shear stress defined as Force/Area parallel to the force. The allowable shear strength of the material is specified as 100 MPa, and the Young's modulus for aluminum is noted as 70 GPa with a Poisson's ratio of 0.28. The second moment of inertia for a hollow circular section is also addressed, emphasizing its importance in structural analysis.

PREREQUISITES
  • Understanding of basic mechanics of materials
  • Familiarity with stress and strain concepts
  • Knowledge of Young's modulus and Poisson's ratio
  • Ability to calculate the second moment of inertia
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  • Research the calculation of shear stress in mechanical components
  • Learn how to derive the second moment of inertia for various cross-sectional shapes
  • Study the implications of Young's modulus and Poisson's ratio in material selection
  • Explore applications of stress analysis in structural engineering
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Engineering students, mechanical engineers, and professionals involved in structural analysis and material selection will benefit from this discussion.

darrenfiander
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Homework Statement



We've been given several questions and told to use the internet to find out the formulas for them. But I can not find the right ones anywhere!

If anyone could just give the formulas that's all I need!

A seat is attached by a simple pin of a circular cross section, made from a material with an allowable strength in shear of 100MPa what would be the minimum diameter to withstand a mass of upto 100kg? pin can only penetrate one side

A straight, hollow circular setion post having an outside diamter of 100m and a thickness of 2mm is to be rigidly fixed to the floor at its base to support an object. calculate the second moment of inertia

if the canister is made of aluminium having a youngs modulus of 70gpa and possion ratio of 0.28, calculate the resultant axial and hoop strain it will experience



Homework Equations





The Attempt at a Solution

 
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To start you off, you probably know that stress=Force/area. There are two types of stress: normal stress and shear stress. Normal stress is force /area perpendicular to the force. Shear stress is force/area parallel to the force. However, all that needs interpreting in the questions you have been given. I think you need to submit your interpretation before getting more help. The moment of inertia is sometimes termed second moment of area (even though they are conceptually slightly different, it may help you get to where you want to be...
 

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