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Pinned base, distributed load on the column

Diagram: Rigid frame Pinned base, distributed load on the column
Diagram: Rigid frame Pinned base, distributed load on the column

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Input

Column height
hh
Span length
\ell
Second moment of area of the column
I1I_1
Second moment of area of the beam
I2I_2
Distributed load on the column
ww

Result

Stiffness of the column
K1K_1
Stiffness of the beam
K2K_2
Stiffness ratio
kk
Vertical reaction
VV
Horizontal reaction (loaded side)
HAH_A
Horizontal reaction (opposite side)
HDH_D
Notes
  • Reactions for a portal frame with pinned bases and a distributed load on the column.
  • The distributed load w acts horizontally over the whole height of the left-hand column.
  • H_A is the horizontal reaction on the loaded side (left) and H_D on the far side (right), and H_A + H_D = wh.
Pinned base, distributed load on the column | Updraft - Mechanical Engineering Calculators