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Delection limits for cantilever frame 1

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ajay__re

Structural
Feb 6, 2018
5
Hi,

Consider the case of a cantilever frame as seen in the attached picture.

When you consider the roof beam as an individual beam with one end fixed, I consider the vertical deflection limit as span/250.

What would be the vertical deflection limit of the roof beam when the whole frame deflects under wind load? (Say European standards)

Thanks in advance
 
 https://files.engineering.com/getfile.aspx?folder=a38a3238-bc9f-4cd6-b783-d6bbec92fb9c&file=IMG_20220216_170309.jpg
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I don't know about the european codes but the brazilian codes consider the deflection of the beam end with respect to the beam start, i.e., with respect to the beam local system.
 


Typical vertical deflection limit for cantilever =span /180 and horizontal deflection ( sway ) of single storey columns = H/300.

I think superposition of the effects will be reasonable . For point load, tip deflection Δ = PL^3/3EI
and angular rotation at the top θ = PL^2/3EI
and the tip deflection of the cantilever beam due to rotation will be = L/200

⇒ Δ max =L/200+ L /180 say L/100
 
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