Does this worksheet calculate Kt from dimensions?

No. It only applies a theoretical elastic stress-concentration factor that the user has obtained from a controlled source matching the exact geometry, loading and nominal-stress definition.

Is Kt the same as fatigue Kf or fracture-mechanics K?

No. The theoretical elastic stress-concentration factor Kt is distinct from a fatigue notch factor and from the dimensional stress-intensity factor used in fracture mechanics.

Does the reported local elastic stress prove safety?

No. The multiplication does not assess plasticity, fatigue, fracture, multiaxial state, residual stress, code compliance or acceptance.

Controlled elastic-stress worksheet

Apply a verified stress-concentration factor

Multiply a documented nominal stress by a separately established theoretical elastic factor K_t. This worksheet deliberately does not infer K_t from a few dimensions or a generic shape name.

No geometry lookupSigned nominal stressExact MPa/ksi conversionNo material allowable

Boundary: the result is a theoretical local elastic stress estimate only when the factor and nominal-stress definition come from the same controlled case. It is not K_f, K_I, a fatigue result, a plastic notch analysis or design acceptance.

1. Controlled inputs

Verified theoretical factor K_t *

Dimensionless. Obtain it from a controlled matching chart, handbook, validated FEA, experiment or approved project analysis.

K_t source method *

Matching nominal stress σ_nom *

Preserve the documented sign convention. Enter the exact gross, net, remote or other nominal basis specified by the Kt source.

Nominal-stress unit *

2. Geometry, loading and source record

Record / item ID *

Exact geometry and drawing revision *

Loading mode, direction and location *

Nominal-stress definition and section basis *

Source document and edition / revision *

Figure, table, equation or case location *

Dimensional ratios and source domain *

Interpolation / extrapolation statement *

Validation record or FEA/test details *

Analyst / checker *

Record date *

Huomautukset

3. Confirmations

I verified that the exact geometry, dimensional ratios, loading mode and direction match the controlled K_t source and are within its stated domain; any extrapolation is explicitly documented.I verified that the entered nominal stress uses exactly the same gross, net, remote or other basis as the K_t definition.I verified that the input is the theoretical elastic stress-concentration factor K_t, not fatigue K_f, fracture-mechanics K/K_I, a material factor or a safety factor.I will not treat the scalar result as fatigue, plasticity, fracture, multiaxial, residual-stress, code or acceptance evidence.

4. Result

Signed local elastic estimate—

Magnitude—

Applied factor—

Method and applicability

K_t = σ_{local,max,elastic} / σ_nom
σ_{local,max,elastic} = K_t × σ_nom

What the multiplication does

Preserves the nominal-stress sign convention.
Normalizes MPa and ksi using exact SI definitions.
Reports magnitude separately from the signed value.

What must already be known

Exact geometry and all governing ratios.
Loading direction and nominal-stress basis.
A controlled factor and its interpolation/domain record.

What it does not assess

Yielding or redistribution at the notch.
Fatigue sensitivity, K_f, fracture K or K_I.
Multiaxial criteria, residual stress or safety.

K_t is dimensionless. MPa is preserved by multiplication. For ksi input the exact conversion used is 1 ksi = 6.894757293168361 MPa.

Sources, status and withheld lookups

University of Illinois Mechanics Reference — Axial Loading, Stress Concentration: defines the factor as maximum stress divided by average stress and states that it is geometry based and found experimentally.
NASA TM-103591, C. D. Wilson, Linear Elastic Fracture Mechanics Primer, July 1992, section 7.1, page 50: defines the dimensionless factor by σ_max = k_tσ, notes geometry dependence and distinguishes k_t from fracture-mechanics K_I.
NIST SP 811 Appendix B: inch/pound-force basis and stress conversion factors.

Luokitus: the multiplication is a bounded general-mechanics relationship, not an ISO/ASME/ASTM/EN design rule. The previous generic hole, shoulder, U-notch and groove equations and range table are withheld as NEEDS_LICENSED_SOURCE: no controlled edition, figure, nominal-stress definition or validity domain was available to verify them. This worksheet therefore accepts only a separately verified K_t.