UDL on a beam from tributary area
Turn a floor pressure into a uniform line load on a beam: multiply the tributary width by the load. Here is the method, beam self-weight, and the two-way equivalent UDL.
Following gravity loads floor by floor, from slab to column to foundation.
Turn a floor pressure into a uniform line load on a beam: multiply the tributary width by the load. Here is the method, beam self-weight, and the two-way equivalent UDL.
A slab loads a beam, and the beam passes that load to its end supports as reactions. Here is how to find them by statics, for uniform, triangular and trapezoidal loads.
A load takedown traces gravity loads from the slabs down to the foundation. Here are the five steps, a worked column, and the checks that catch errors.
The foundation reactions are where a takedown ends: the load each column and wall delivers to the ground. Here is how to read them and turn them into foundation design loads.
A transfer beam carries a column or wall that stops part-way down and redistributes its load to supports below. Here is what it does, why it is used, and how load flows through it.
A lintel carries the wall and floor above an opening. Here is how to find its load, the triangular masonry-load idea, and a worked example for a door or window head.
The fastest way to get column axial loads is to draw the plan once and let the tributary areas and stacking resolve. Here is the workflow and why it beats sketching.
Follow one gravity load from the slab through the beam, column and footing to the soil. Here is each handoff in the load path and why tracing it prevents errors.
In a multi-storey building, loads stack down the columns floor by floor. Here is how the top-down accumulation works, how transfers fit in, and a worked three-storey column.
A column's load is every floor it carries, added up. Here is how to find the axial load from tributary areas, stack it through floors, and factor it.
A bearing wall carries floor load as a line reaction per metre, not a point load. Here is how to take a wall down, what feeds its line load, and how it reaches the footing.
A footing carries the column above it plus its own weight. Here is how to find the load for bearing and for footing strength, using service and factored values.
How to take one column down by hand: tributary area per floor, load per floor, accumulate down the building, then factor. A full worked example with numbers.
A column reaction is just every floor above it, added up in the right order. Here is a full three-storey gravity takedown worked by hand, from slab pressures to a factored foundation load.
An interior column carries about twice an edge column and four times a corner. Here is why, the load ratios, and a worked comparison you can use as a sanity check.
Once you have a column's factored axial load, a quick required-area estimate gives a trial size. Here is the preliminary method for steel and concrete, with worked numbers.