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Pinned base, distributed load on the beam

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

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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
ww

Result

Stiffness of the column
K1K_1
Stiffness of the beam
K2K_2
Stiffness ratio
kk
Vertical reaction
VV
Horizontal reaction
HH
Bending moment at column top
MBM_B
Bending moment at beam midspan
McM_c
Notes
  • Reactions for a portal frame with pinned bases and a uniformly distributed load on the beam.
  • The bases are pinned, so the bending moment there is 0. The value shown is MB = Hh, at the column top.
  • The stiffness ratio k = K2/K1 compares the stiffness of the beam with that of the column.
Pinned base, distributed load on the beam | Updraft - Mechanical Engineering Calculators