Pinned base, concentrated load on the beam
Input
Column height
Span length
Second moment of area of the column
Second moment of area of the beam
Concentrated load
Load position ratio
Result
Stiffness of the column
Stiffness of the beam
Stiffness ratio
Vertical reaction (left)
Vertical reaction (right)
Horizontal reaction
Bending moment at column top
Bending moment at the load point
Notes
- Reactions for a portal frame with pinned bases and a concentrated 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 load position ratio ε is the distance from the left end divided by the span, so it runs from 0 to 1.
- At ε = 0.5 the load acts at midspan.