Fator concentração tensão

K_t = σ_max/σ_nom. Com entalhe.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

K_t
1,63

Formula

K_t ≈ 1 + 2√(r/d)

About this calculator

The Stress Concentration Factor is a critical measure in the analysis of material strength, especially in designs involving notches or discontinuities. It quantifies how stress concentrates in a specific area due to the presence of a notch, affecting the material's structural integrity. The formula used, K_t ≈ 1 + 2√(r/d), relates the notch radius (r) to the characteristic dimension of the material (d), providing an estimate of the stress concentration factor.

The use of the Stress Concentration Factor is fundamental in materials engineering and mechanics, as it helps predict component failure under applied loads. Materials with notches or defects can fail under much lower stresses than those predicted by nominal stress analyses. This is because stress concentrates near the notch, significantly increasing local stress. Understanding and calculating this factor is essential for designing safer and more efficient components.

When applying the formula K_t ≈ 1 + 2√(r/d), it's crucial to consider the limitations and necessary precautions. The accuracy of the calculation depends on the correct definition of the notch radius and the material's characteristic dimension. Additionally, the notch geometry and material properties also influence the result. Therefore, it's essential to use precise values and consider the problem's boundary conditions.

In real cases, the Stress Concentration Factor is used to evaluate the strength of components such as gears, shafts, and other mechanical elements that may present notches or discontinuities. It aids in material selection, component design, and failure prediction, contributing to the development of more reliable and safe products.

Frequently asked questions

What is the Stress Concentration Factor?

It is a measure that quantifies how stress concentrates in a specific area of a material due to the presence of a notch.

How is the Stress Concentration Factor calculated?

It is calculated using the formula K_t ≈ 1 + 2√(r/d), where r is the notch radius and d is the characteristic dimension of the material.

Why is it important to consider the Stress Concentration Factor in engineering projects?

It is important because it helps predict component failure under applied loads and design safer and more efficient components.

What precautions are necessary when applying the Stress Concentration Factor formula?

It is necessary to correctly define the notch radius and the material's characteristic dimension, and to consider the notch geometry and material properties.

In what situations is the Stress Concentration Factor especially relevant?

It is especially relevant in the design of mechanical components, such as gears and shafts, that may present notches or discontinuities.

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