H-02 — applying loads

the model doesn't know about load until you tell it.

load application viewer

add loads to a beam. watch reactions and diagrams respond.

Apply a point load and a distributed load to a simply supported beam. Reactions, shear, and moment update instantly from equilibrium.

span L24 ft
P10.0 k
loc a12.0 ft
w0.5 klf
start0.0 ft
end24.0 ft
M_max (kip-ft)
R_L = k  ·  R_R = k  ·  V_max = k
loaded beam
shear & moment diagrams
live equation
set values above to see the live calculation
w = Load per unit length applied to the beam
P = Concentrated force at a specific location
R = Support force from equilibrium
explained
Loads in the model must match reality: distributed loads represent floor weight per length, point loads represent beam reactions from above. The model computes reactions, shear, and moment from equilibrium — the same math as hand calculations, just automated across many members at once.
key concepts
overviewPoint loads, distributed loads, and load cases

Loads in a model must represent real conditions. A point load represents a concentrated force (e.g., beam reaction landing on a girder). A distributed load represents weight spread along a member (floor dead load via tributary width). Load cases group loads by source — Dead, Live, Wind, etc. — so they can be factored and combined per code requirements. Getting loads wrong is the most common modeling mistake.

getting the loads rightWhy wrong loads are the most common modeling error

The most common modeling mistake isn’t wrong member sizes or wrong supports — it’s wrong loads. Loads must represent the real conditions the structure will see. Miss a load and the member is undersized. Apply a load to the wrong location and forces flow through the wrong path. Every load must have a clear physical source (what weight? what pressure? what occupancy?).

point loads vs. distributed loadsConcentrated forces and spread-out weight

A point load (P, in kips) represents a concentrated force — a column reaction landing on a girder, a hanger rod pulling on a beam, a heavy machine bolted to the floor. A distributed load (w, in kip/ft) represents weight spread along a member — floor dead load × tributary width, a wall sitting on a beam, wind pressure across a surface. Most real loads start as distributed and become point loads at connections.

superpositionAnalyzing loads separately and adding the results

For linear elastic structures, you can analyze each load separately and add the results. A beam carrying both a uniform load w and a point load P at midspan has reactions, shear, and moment equal to the sum of the two individual cases. This is the principle of superposition — it’s why beam formula tables are so useful. The tool above shows this directly.

reactions tell the storyChecking equilibrium and designing supports

Once loads are applied, the first thing to check is reactions: ΣFy = 0 and ΣM = 0. The sum of all vertical reactions must equal the total applied vertical load. If they don’t balance, something is wrong with the model. Reactions also tell you what the supports and foundations must be designed for — they’re the starting point for everything downstream.