One dimensional stress,strain,deflection analysis

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SUMMARY

The discussion centers on the analysis of one-dimensional stress, strain, and deflection using the finite difference method, specifically with the equation EI (d4 y/dx4) - m(d2y/dt2) - P sin wt = 0. The user has successfully developed a MATLAB program to calculate deflection but seeks guidance on how to compute stress and strain. Key considerations include whether to calculate the moment first or explore alternative methods for determining stress and strain.

PREREQUISITES
  • Understanding of finite difference methods in numerical analysis
  • Familiarity with MATLAB programming for engineering applications
  • Knowledge of beam theory, including bending moments and shear forces
  • Basic principles of stress and strain in materials
NEXT STEPS
  • Research the relationship between bending moment and stress in beams
  • Learn about the calculation of strain from deflection in structural analysis
  • Explore MATLAB functions for numerical differentiation and integration
  • Study the finite element method as an alternative to finite difference for stress analysis
USEFUL FOR

Undergraduate engineering students, structural analysts, and anyone involved in mechanical or civil engineering focusing on stress and deflection analysis.

tanma_amnat
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hi
i am an undergrad student

i had an eqn like the following from which i am to find deflection,stress and strain using finite difference method

EI (d4 y/dx4)-m(d2y/dt2)-P sin wt=0

P=force
y=deflection
w=frequency
t=time

i have developed a MATLAB prog for deflection

how can I find stress and strain now?

i am confused which formula should i use?
should i find moment first and then stress or is there any other way?

just tell me the way, not the prog
 
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i will be very greatful if someone gives an advice
 

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