1001Ferramentas
📊 Calculators

Expanded Uncertainty

Compute the expanded uncertainty of a measurement, U = k · uc, multiplying the combined uncertainty (uc) by the coverage factor k. While the combined uncertainty corresponds to ~68% confidence (1σ), the expanded one defines a higher-confidence interval — with k = 2, about 95%, the standard in most calibration certificates. It is the final value reported as '± U' in the result. Enter the coverage factor k and the combined uncertainty.

Resultado

Incerteza expandida

Toda medição tem incerteza — a questão é com que confiança reportá-la. A incerteza combinada (uc), obtida combinando todas as fontes de erro, corresponde a um nível de ~68% (1σ): a probabilidade de o valor verdadeiro estar nesse intervalo é só de dois terços. Para os certificados de calibração, isso é pouco. Multiplica-se então por um fator de abrangência k: U = k·uc. Com k = 2, o intervalo cobre ~95% (o padrão mundial); k = 3 dá ~99,7%. O resultado final é reportado como 'valor ± U', e a incerteza expandida é o número que o cliente do laboratório de fato usa. Informe o fator k e a incerteza combinada.

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Geosynthetic Rupture Safety Factor

Calculate the safety factor against tensile rupture of a geosynthetic reinforcement layer, FS = T_adm ÷ T_req, from the allowable tensile strength T_adm (kN/m, the ultimate already reduced by creep, installation-damage and degradation factors) and the required tension T_req (kN/m, the force the soil demands at that layer). This is the final design check for a reinforcement layer: the available (allowable) strength must exceed the demand (required) with an adequate margin. Reinforced-soil codes require tensile-rupture safety factors typically around 1.3-1.5 (since many uncertainties — creep, damage, degradation — are already covered by the partial reduction factors embedded in T_adm). If FS is below the required, a stronger geosynthetic is chosen, the layer spacing reduced (lowering T_req per layer) or both. Besides tensile rupture (this calculation), reinforced-soil design also checks PULLOUT stability (sufficient anchorage), INTERNAL stability (failure surfaces cutting the reinforcements), EXTERNAL stability (sliding, overturning and bearing capacity of the whole mass) and deformations. This rupture FS is one of the fundamental checks. Enter the allowable strength and the required tension.

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Gear Base Pitch

Calculate the base pitch of an involute gear, p_b = π·m·cos(φ), from the module m (mm) and the pressure angle φ (degrees). The base pitch is the distance between two homologous flanks of consecutive teeth, measured along the base circle (or, equivalently, along the line of action) — different from the circular pitch (π·m), measured on the pitch circle. The base pitch is a FUNDAMENTAL property of involute meshing for an elegant reason: for two meshes to transmit motion correctly, they must have the SAME base pitch — it is the conjugacy condition of involute profiles. Moreover, the base pitch appears directly in the CONTACT RATIO (the average number of teeth in simultaneous contact, found by dividing the line-of-action length by the base pitch): a contact ratio above 1 (ideally above 1.4) ensures there is always at least one tooth pair meshed, transmitting motion continuously and smoothly, without impacts. The base pitch is also the basis of checking gears 'over two pins' or by span measurement (W over teeth), classic dimensional-control methods. It is an essential parameter in gear geometry and metrology. Enter the module and the pressure angle.

The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.