CTSCIVIL Engineering Tools

Centroid Calculator

Find the centroid of composite areas made from common shapes and holes.

Calculated locally in your browser

Units and Display

Choose the working length unit and the displayed precision.

Composite area

Length unit

Display precision

Show shape labels Show individual centroids Show detected symmetry axes Show dimension annotations Snap placement and dragging to grid

Grid spacing

Shape Library

Insert a ready-made engineering section and edit its parts normally.

Common sections

Section

Width

Height

Thickness

Insertion x

Insertion y

Add a Shape

Select a common area, enter its dimensions and location, then add it as a solid or a hole.

A₁

Shape label

Shape

Area type

Rotation angle

Lower-left x

Lower-left y

Width

Height

Composite Area Shapes

Review, edit, duplicate, or remove each solid area and hole.

0 selected

Move Δx

Move Δy

Rotate Δθ

Area type

No shapes have been added

Add a shape or load the sample composite area.

Select a shape in the list or diagram. Drag it directly, or use the arrow keys for precise movement.

Coordinate Table EditingEdit labels, centroid coordinates, rotation, and area type.

Select	Shape label	Shape	x	y	θ	Area type

Composite Centroid

Solid areas are positive and holes are negative.

Waiting for shapes

Centroid x̄—

Centroid ȳ—

Net area—

Solid areas0

Holes0

Total shapes0

Detected symmetry—

Composite Area Diagram

The true coordinate origin, individual centroids, and the composite centroid are shown.

100%

Select and drag a shape to reposition it. Restore Position reverses the latest drag for the current selection. Drag empty space to pan when zoomed.

Detailed Calculations—

Review each signed area, its centroid coordinates, first moments of area, and the final centroid equations.

Shape	A	x	y	Ax	Ay

Export and Print

Copy the centroid results or print the complete calculation sheet.