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Basic shapes and axes

Section geometry

bh

Inputs

Basic closed forms with centroidal horizontal axis.
For circle/tube, enter outer diameter here.
Used for rectangle only.

Results

Cross-sectional areaA

7,200

Second moment of areaI

8,640,000

Section modulusS

144,000

mm³
A = bh; Iₓ = bh³ / 12; Sₓ = Iₓ / (h/2)

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Nearby: Right-triangle frame · 3D coordinate span · Cylinder geometry · Circular arc & segment

Method

Formula, when it applies, and when it does not

Resolve geometric properties for a small set of explicitly diagrammed cross-sections.

A = bh; Iₓ = bh³ / 12; Sₓ = Iₓ / (h/2)

When

  • Named reference axes
  • Positive geometry

Don’t

  • Geometry values are calculated about the displayed centroidal horizontal axis. Verify the chosen axis and that the basic shape represents the actual section.

Roark's Formulas for Stress and Strain — section properties