Integration of a step function

Integration of a step function - Stress analysis of a beam - Messaggi

#1 Pubblicato: 18/06/2014 15:47:30
Joe

Joe

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I am doing some stress analysis of a beam and part of my calculation is finding the weight by integrating the cross sectional area of the beam and multiplying it by the density. the issue I'm having is that when i use the Definite Integral feature i get the error stating that x is not defined.
Notched beam analysis.sm (8,37 KiB) scaricato 1438 volta(e).
#2 Pubblicato: 18/06/2014 16:21:39
Martin Kraska

Martin Kraska

1.361 apprezzamenti in 2.275 post.

Gruppo: Moderator

The built-in integration function cannot handle functions with if statements and integration variables with units.

You can use cases() for piecewise continuous functions and you can make the integration variable dimensionless.
You might want to increase the number of intervals for integration (Tools> Settings) in order to get more precise results (no adaptive numeric procedure).

integral.PNG
Technische Mechanik mit SMath Studio: https://link.springer.com/book/10.1007/978-3-658-50592-9
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