Portal frame vertical deflection

[takupfr]

Hi guys,

Quick one for you professionals: do you guys know a simple formula to quickly estimate the vertical deflection at the apex of a portal frame pinned at its bases?

My inputs would be:

w : UDL on rafter

L: column to column distance
h: top of column height
Alpha: angle that the rafter makes with the horizontal

Ir: second moment of inertia of rafter
Ic: second moment of inertia of column
E: elastic modulus

Hopefully you can help me with this one.

Regards,

Mathias.

 

[ANE91]

Only so many ways to skin this chicken