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Specific Strength & Specific Modulus Calculator

· Last updated：2026-07-27

Specific strength = σ/ρ and specific modulus = E/ρ (optional E). Enter strength in MPa and density in g/cm³; output in N·m/kg (also as kN·m/kg). The figure of merit for lightweight design — a material with high strength but high density (e.g. tungsten) often loses to a lighter alloy. Typical values: Ti-6Al-4V ≈ 210 kN·m/kg, Al 7075 ≈ 180, carbon steel ≈ 50–90, CFRP ≈ 1000+.

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Tool usage guide

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Category
Math & Numbers
Input types
number
Output type
json
Sample coverage
4
API ready
Yes

Overview

Calculate specific strength from strength and density, and optionally calculate specific modulus from Young's modulus and density. Enter strength in MPa, density in g/cm³, and optional Young's modulus in MPa to receive results in N·m/kg and kN·m/kg.

When to use

  • Compare materials for lightweight structural design using strength-to-weight performance.
  • Calculate specific strength from tensile or yield strength and material density.
  • Calculate specific modulus when Young's modulus is also available.

How it works

  1. 1Enter strength σ in MPa and density ρ in g/cm³.
  2. 2Optionally enter Young's modulus E in MPa to calculate specific modulus.
  3. 3The calculator computes specific strength as σ/ρ and specific modulus as E/ρ.
  4. 4Results are returned in N·m/kg, with specific strength also shown in kN·m/kg and specific modulus in MN·m/kg.

Use cases

  • Screen titanium, aluminum, steel, and composite materials for lightweight designs.
  • Compare strength-to-weight ratios during preliminary aerospace or mechanical material selection.
  • Evaluate both load-carrying strength and stiffness relative to density when modulus data is available.

Examples

1. Ti-6Al-4V specific strength and modulus

Materials engineer

Background

A materials engineer is evaluating Ti-6Al-4V for a lightweight structural component.

Problem

The engineer needs strength and stiffness values normalized by density.

How to use

Enter strength 950 MPa, density 4.43 g/cm³, Young's modulus 114000 MPa, and 2 decimal places.

{"strength":950,"density":4.43,"youngsModulus":114000,"decimalPlaces":2}

Outcome

The calculator returns a specific strength of 214.45 kN·m/kg and a specific modulus of 25.73 MN·m/kg.

2. Carbon steel specific strength

Design engineer

Background

A design engineer wants to quantify the weight efficiency of carbon steel using available strength and density data.

Problem

The engineer does not have Young's modulus in the calculation inputs and only needs specific strength.

How to use

Enter strength 400 MPa, density 7.85 g/cm³, leave Young's modulus empty, and use 2 decimal places.

FAQ

What is specific strength?

Specific strength is strength divided by density: σ/ρ. It indicates strength relative to material weight.

What units should I enter?

Enter strength and optional Young's modulus in MPa, and density in g/cm³.

Is Young's modulus required?

No. Strength and density are required; Young's modulus is optional and enables the specific modulus result.

What does the calculator return?

It returns specific strength in N·m/kg and kN·m/kg. If Young's modulus is entered, it also returns specific modulus in N·m/kg and MN·m/kg.

Can I control the displayed precision?

Yes. Set Decimal Places from 0 to 6; the default is 2.

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{"strength":400,"density":7.85,"decimalPlaces":2}

Outcome

The calculator returns a specific strength of 50.96 kN·m/kg without a specific modulus result.