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REGARDING POST FAILED IN DEFLECTION

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Please help me with this I have modeled a post connected with a beam below

but when i run the anlaysis the post deflected by more than 4mm.

But when i increase the beam size to HEB160 from HEB100 the deflection reduces but

my design wouldnt be economical.

Soi tried to put rigid support on the post and resulting deflection is ok.

My question is it safe to assume my 2nd model which is the post with rigid support is correct?

But I prefer the first model because its not tedious compared to 2nd model.

See attached two staad models.

Thanks

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