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?
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.
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