Composite transformed section calculator

Calculate elastic neutral axis y and transformed area with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use elastic neutral axis y and transformed area to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Bonded rectangular layers [width mm,height mm,centroid y mm,modulus MPa]
[[100,10,5,200000],[100,20,20,70000]]
Reference modulus (MPa)
200000
Elastic neutral axis y (mm)
11.176471
Transformed area (mm²)
1700
Transformed Ixx (mm⁴)
124,313.72549
Composite bending rigidity EI (N mm²)
24,862,745,098.039211

Try another scenario

Bonded rectangular layers [width mm,height mm,centroid y mm,modulus MPa]
[[101,10,5,200000],[100,20,20,70000]]
Reference modulus (MPa)
200000
Elastic neutral axis y (mm)
11.140351
Transformed area (mm²)
1710
Transformed Ixx (mm⁴)
124,776.315789
Composite bending rigidity EI (N mm²)
24,955,263,157.900002
Calculation method

Calculation method

Elastic neutral axis y (mm)

Transform each perfectly bonded linear-elastic layer by E/Ereference, then use centroid and parallel-axis theorem.

Transformed area (mm²)

Transform each perfectly bonded linear-elastic layer by E/Ereference, then use centroid and parallel-axis theorem.

Transformed Ixx (mm⁴)

Transform each perfectly bonded linear-elastic layer by E/Ereference, then use centroid and parallel-axis theorem.

Composite bending rigidity EI (N mm²)

Transform each perfectly bonded linear-elastic layer by E/Ereference, then use centroid and parallel-axis theorem.

Symbols and units
a
Bonded rectangular layers [width mm,height mm,centroid y mm,modulus MPa]
b
Reference modulus (MPa)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Transform each perfectly bonded linear-elastic layer by E/Ereference, then use centroid and parallel-axis theorem. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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