Calculate Stress in "Y" Direction: σ=P/A Equation

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SUMMARY

The calculation of stress σ in the "y" direction using the equation σ=P/A is confirmed to be correct. The example provided involves a force of -2*10^6 N applied over an area of 0.4 m by 0.02 m, resulting in a stress of -100*10^6 Pa. Key recommendations include maintaining unit consistency throughout calculations and considering the simplification of distributed loads to streamline the process.

PREREQUISITES
  • Understanding of the σ=P/A equation for stress calculation
  • Familiarity with unit conversions, specifically Newtons (N) and Pascals (Pa)
  • Knowledge of distributed loads in structural analysis
  • Basic principles of mechanics and material science
NEXT STEPS
  • Study the implications of negative stress values in material failure analysis
  • Learn about distributed load calculations and their application in engineering
  • Explore advanced stress analysis techniques using finite element methods (FEM)
  • Review unit consistency practices in engineering calculations
USEFUL FOR

Students and professionals in civil engineering, mechanical engineering, and materials science who are involved in stress analysis and structural design.

Xenix
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1. I need to know the stress σ in the "y" direction.



2. I will use σ=P/A equation.



3. First (-2*10^6)N*0.4m=-0.8*10^6N
Then σ=P/A=(-0.8*10^6N)/(0.4m*0.02m)=-100*10^6Pa.

Is this corrects?
 

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Looks right to me.

Some suggestions:
-always carry the units through correctly to make sure you are doing it right; I think the first step you did missed the N/m
-you probably don't need to convert everything to N and use *10^6 everywhere; it saves some time and probably less mistakes just to leave the M in there to the end;
-a shortcut here is to just divide the distributed load by the width since a distributed load is sort of like the stress already in one dimension
 
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