Tipping and overturning calculator

Rigid block; tipping moments about the support edge.

statics-overturning.napkin / editable

SCENARIO COMPARISON

Compare the numbers.

This source describes an analytical model. Its quantities and checks are the view.

Scenario	restoringN*m	overturningN*m	factor
	40	24	1.66667
	32	24	1.33333

All calculated quantities are listed with the inputs. Switch to Source to inspect the equations.

SCENARIOS / CALCULATED VALUESSAME SOURCE

Change an input to see the consequences.

moment margin1.67 ✓ passes

BASELINE INPUTS

weight200 Nbase0.4 mforce30 Nheight0.8 m

CALCULATED

restoring40 N*m

overturning24 N*m

factor1.6667

Edits change the baseline source.

THE SOURCE

Edits below update the same model.

# Tipping and overturning
# Scope: Rigid block; tipping moments about the support edge.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

weight = 200 N
base = 0.4 m
force = 30 N
height = 0.8 m

restoring := weight*base/2 [N*m]
overturning := force*height [N*m]
factor := restoring/overturning

check moment margin: factor >= 1.5

scenario alternative: weight = 160 N

Calculated from your source · not saved

Baseline · Baseline

moment margin1.67 ✓ passes

alternative · alternative

moment margin1.33 × fails

Illustrative first-order example. Checks are editable requirements, not design standards. The broader topic may require additional equations, data, and validation.

Formula and units

This example uses the following equations. Input names and units match the editable source above.

restoring: restoring = weight*base/2 [N*m]
overturning: overturning = force*height [N*m]
factor: factor = restoring/overturning

Original worked example

These are the baseline values in the downloadable source. Edits above let you test your own values.

Given

weight: 200 N
base: 0.4 m
force: 30 N
height: 0.8 m

Calculated

restoring: 40 N*m
overturning: 24 N*m
factor: 1.66667

Assumptions and limits

Rigid block; tipping moments about the support edge.

The requirement checks use the limits written in this example. Passing a check does not establish that the model covers every load, material behavior, or operating condition in a real design.

Download this .napkin example ↓

Take it further with your agent

Napkin keeps the inputs, equations, checks and assumptions together in one study. Your agent sets it up; you change the numbers.

Try with Claude ↗

codex 'Use Napkin (https://napkin.engineering/mcp, or the local Napkin plugin) to build a study: Tipping and overturning. Inputs: center of mass; footprint; external load. Outputs: tipping threshold; restoring moment. Model scope: Rigid-body, quasistatic equilibrium. Read napkin_capabilities and the current snapshot. Ask me for the values that matter, label assumptions with units, author .napkin source, validate it and apply it with napkin_source using the current revision, then open the study. Add checks for the limits I supply. Keep unsupported analyses explicit.'

Claude needs the Napkin connector; Codex needs the Napkin plugin. Set up your agent ↗

The broader study

The topic brief below describes the broader scope. The worked example above states the particular calculation it implements.

Inputs: center of mass, footprint, external load
Outputs: tipping threshold, restoring moment
Modes: calculate, compare, sweep
Drawing: Free-body diagram

EXECUTABLE WORKED EXAMPLE · FIRST-ORDER MODEL · CHECK THE SCOPE & ASSUMPTIONS