Calculate the maximum deflection of a structure subjected to bending

[ksk_10594232]

Hi

I want to calculate the maximum deflection of a structure subjected to bending. The deflection occurs within the buckling length, defined as the deflection within the points of inflection i.e. where M(z)=0.

I have plotted the moment and the deflection in the attached file, but need further assistance finding the maximum deflection within the buckling length (see page 2 in the attached file). 

Any help appreciated! 

[terryhendicott]

Hi,

Like this?

And if you include the small negative deflection at the lower point you get.

Cheers

Terry

[ksk_10594232]

Thank you. What I'm really looking for is a function that automatically plots the dashed line and the "d-line" for any generic shape of the deflection curve. 

[Werner_E]

Something like the attached?

Its based on Terrys solution.

You have a confusing mix at the abscissa - two quantities of completely different dimensions (units mm and kN*m).

So I decided for a dimensionless approach - after all Terry already made Mz0 and uz0 dimensionless instead of the appropriate units meter because he used root without units. So all I had to do was to get rid of the remaining units.

[ksk_10594232]

Would you mind posting a print screen? I assume you have a more recent version of Prime. 

[terryhendicott]

The lines will update automatically with changes in data

[LucMeekes]

Here's Werner's file for your version of Prime.

Success!
Luc

[ksk_10594232]

Thanks to both of you! Very appreciated! 

I think the dl-matrix should look like this so the dashed line connects to the red line. 

However, I am not sure if the "dd-line" is correct. I want the "dd-line" to automatically plot the largest gap between the dashed line and the red line. As it's plotted right now, It might be correct for this case, but I doubt it's correct for the general case.

Thanks for your support!

[terryhendicott]

Hi

Here is an adjustment to Werner's file Prime 9 that does the trick.

Cheers

Terry

[LucMeekes · Accepted solution]

Terry's file translated to Prime 7.

Success!
Luc

[ksk_10594232]

Excellent! I'm grateful for your help