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Fixed base, distributed load on the beam

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

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Input

Column height
hh
Span length
ℓ\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
MM
Bending moment at column top
MBM_B
Bending moment at beam midspan
McM_c
Notes
  • Reactions for a portal frame with fixed bases and a uniformly distributed load on the beam.
  • The bending moment M is the value at the column base and MB the value at the column top. It varies linearly along the column, so M + MB = Hh.
Fixed base, distributed load on the beam | Updraft - Mechanical Engineering Calculators