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A wide Titanium (Ti-6Al-4V) alloy plate has a notch on one edge from an over cut during a sawing operation. This crack geometry results in a Y value of 1.32. The plate is to be loaded in tension perpendicular to the notch. If the notch is 0.15" deep, what is the maximum safe service stress?

Question

A wide Titanium (Ti-6Al-4V) alloy plate has a notch on one edge from an over cut during a sawing operation. This crack geometry results in a Y value of 1.32. The plate is to be loaded in tension perpendicular to the notch. If the notch is 0.15" deep, what is the maximum safe service stress?

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Solution

To answer this question, we need more information such as the fracture toughness of the Titanium (Ti-6Al-4V) alloy and the factor of safety. The stress intensity factor (K) is used to predict the stress state ("stress intensity") near the tip of a crack caused by a remote load or residual stresses. It is a theoretical construct usually applied to a homogeneous, linear elastic material and is useful for providing a failure criterion for brittle materials, and is a critical technique in the discipline of fracture mechanics.

The formula for the stress intensity factor is:

K = Y * σ * √(π*a)

where:

  • K is the stress intensity factor,
  • Y is a dimensionless constant that depends on the geometry of the crack and the loading (in this case, Y = 1.32),
  • σ is the stress at the crack tip,
  • a is the crack length (in this case, a = 0.15").

To find the maximum safe service stress (σ), we rearrange the formula to:

σ = K / (Y * √(π*a))

However, without the values for K and the factor of safety, we cannot calculate the maximum safe service stress.

This problem has been solved

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