Engineering optimzation·equivalent-spring-stiffness-calculation

Equivalent Spring Stiffness Calculation

Given a structural element (rod, shaft, or beam) with known material properties and geometry, calculate its equivalent spring stiffness constant. The stiffness depends on the type of deformation (axial, torsional, or bending) and is computed from the material's elastic modulus or shear modulus, cross-sectional properties, and length.

✓ All 3 test cases pass.

Inputs

Type of structural element

One of: 'torsional_beam', 'axial_rod', 'torsional_shaft'

Elastic or shear modulus

Young's modulus E (Pa) for axial/bending, shear modulus G (Pa) for torsion

Cross-sectional property

Cross-sectional area A (m²) for axial rod, second moment of inertia I (m⁴) for beam, polar moment J (m⁴) for shaft

Length of element

Length L (m) of the structural member

Test cases

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#	Inputs	Expected	Got	Status
1	{"element_type":"axial_rod","modulus":200000000000,"property":0.01,"length":1}	2000000000	2000000000	✓
2	{"element_type":"torsional_shaft","modulus":80000000000,"property":0.0001,"length":2}	4000000	4000000	✓
3	{"element_type":"torsional_beam","modulus":210000000000,"property":0.00005,"length":0.5}	21000000	21000000	✓

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Endpoint

POST/api/calculators/engineering-optimzation/equivalent-spring-stiffness-calculation/compute

Inputs (4)

element_typestringdefault "axial_rod"
modulusnumberdefault 200000000000
propertynumberdefault 0.01
lengthnumberdefault 1

Example

curl -sX POST http://localhost:3001/api/calculators/engineering-optimzation/equivalent-spring-stiffness-calculation/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"element_type":"axial_rod","modulus":200000000000,"property":0.01,"length":1}}'

Try it live

Edit the body below, then click Call API.

Request body

Response

(click Call API to see the response)

full API docs →

Source: Pattern from: Ch1.pdf. Reproduces a standard equivalent-spring-stiffness-calculation computation; problem text paraphrased.

AI disclosure: Calculator code generated by anthropic/claude-haiku-4-5-20251001; verified by 3 test cases.