Fixed 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 (left)
Bending moment (right)
Bending moment at column top (left)
Bending moment at column top (right)
Bending moment at the load point
Notes
- Reactions for a portal frame with fixed bases and a concentrated 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.
- The load position ratio ε is the distance from the left end divided by the span, so it runs from 0 to 1.
- M_A and M_D are the bending moments at the left and right column bases.