12-Amethyst

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Calculate the deflection of a column/beam

Forum|Forum|2 years ago
May 17, 2023
1 reply
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Hi

I want to calculate the deflection along a column (or a stand-up beam) subjected to a lateral point load. The column is fixed at both ends, A and B, and the load P is acting at a distance a from the top. I know that I can easily calculate the deflection at the point of action (P), however I don't know how to determine the deflection at an arbitrary position away from P, lets say L/2. If somebody can bring some knowledge to this, I'll be very thankful 🙂

Civil_Engineering

Best answer by LucMeekes

Ah, I see now that your beam should be fixed (instead of just supported ) at both ends.

That apparently changes the situation. In the expression of the second part, simply replace v with (L-z), because that's what v is.

Then you get:

I've added a bar at height a from the top, to indicate the load point.

Success!
Luc

21-Topaz II

Hi,

Without an axial load it is the same as a beam.

https://www.engineersedge.com/beam_bending/beam_bending19.htm

Author

12-Amethyst

Thank you.

I have made an attempt to plot the deflection along the column, but I didn't get it completely right for z-values (or x-values) exceeding a.

23-Emerald IV

Attach your Prime worksheet please.