Is 1 MPa equal to 1 N/mm²?

Yes. The pascal is N/m², so 1 MPa = 10^6 N/m² = 1 N/mm² exactly.

Does unit conversion determine an allowable stress or material strength?

No. It only changes the numerical representation of the same force-per-area quantity. Property selection and design acceptance require the applicable specification, condition and code.

When is force equal to stress times area?

For the scalar worksheet result, the entered normal stress or pressure must be uniform over the documented net or projected area. A nonuniform traction requires integration over the area.

Controlled force-per-area worksheet

Stress and pressure unit conversion

Convert one documented force-per-area quantity among Pa, kPa, MPa, GPa, N/mm², bar, psi, ksi and kilogram-force units. Optionally calculate the resultant of a uniform normal stress or pressure over a controlled area.

Exact SI scalingNIST conversion basisNo material lookupNo design verdict

Boundary: changing units does not identify a material property, temperature range, allowable stress, safety factor or code acceptance. A signed stress may be entered; pressure conventions such as absolute versus gauge must already be defined in the source record.

1. Quantity and optional area

Force-per-area value *

Plain decimal point or comma; signed values and zero are accepted. No exponent or unit suffix.

Input unit *

Area (optional)

If supplied, area must be positive and its physical basis must be documented below.

Area unit

2. Controlled source record

Record / item ID *

Quantity kind *

Source document / data record *

Edition / revision / date *

Clause, table, drawing or field location *

Temperature, sign and reference conditions *

Analyst / checker *

Record date *

Area basis (required when area is supplied)

Märkused

3. Confirmations

I verified that the entered number and selected unit refer to the same documented scalar force-per-area quantity.
I will preserve the source meaning, sign convention, temperature and pressure reference; this worksheet performs no semantic conversion.
I will not treat a converted number as a material-property selection, allowable stress, pressure rating or design acceptance.
If an area is supplied, the quantity is a uniform normal traction over the documented area; otherwise I will not use the force result.

4. Results

Ühik	Definition used	Converted value
Pa	N/m²	—
kPa	10³ Pa	—
MPa	10⁶ Pa	—
GPa	10⁹ Pa	—
N/mm²	10⁶ Pa	—
baar	10⁵ Pa	—
psi	lbf/in²	—
ksi	1000 psi	—
kgf/cm²	98 066.5 Pa	—
kgf/mm²	9 806 650 Pa	—

Uniform-load resultant

Jõud—

Values are displayed with enough significant digits for worksheet use; calculations retain JavaScript double precision. Preserve the uncertainty and significant figures of the source record.

Method, dimensions and boundaries

q_Pa = q_sisend × f_sisend
q_unit = q_Pa ÷ f_unit
F = q_Pa × A_m² (uniform normal traction only)

Exact SI identity: 1 MPa = 10^6 N/m² = 1 N/mm² exactly.

What this verifies

Force-per-area dimensions: Pa = N/m².
Exact SI prefixes and bar scaling.
Consistent psi, ksi and kilogram-force conversions.
Dimensional force result when the uniform-area assumption is true.

What this does not verify

Whether the entered property or pressure is correct.
Material grade, product form, thickness or temperature applicability.
Gauge versus absolute pressure, stress tensor components or sign convention.
Allowables, load combinations, safety factors, pressure rating or code compliance.

For a nonuniform normal traction p(x,y), the resultant is F = ∫_A p(x,y)dA; multiplying one scalar by an area is not generally sufficient. Shear or multiaxial stress requires the applicable vector/tensor treatment.

Sources and classification

BIPM, SI Brochure, 9th edition, version 4.01 (2025/2026 publication file): the pascal is the SI derived unit for pressure and stress, equal to N/m²; SI prefixes define kPa, MPa and GPa.
NIST SP 811, Appendix B.9: official pressure/stress conversion factors for psi, ksi and kilogram-force units; exact factors are marked by NIST where applicable.

Klassifikatsioon: the conversion equations are dimensional unit transformations, not formulas prescribed by a material or design standard. The removed steel-property table cited broad ASTM/EN families without exact parts, editions, product conditions or row-level evidence; it is not reproduced.