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How do you interpolate between two curves to find the stress concentration factor of a hole or fi...

How do you interpolate between two curves to find the stress concentration factor of a hole or fillet

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Answer #1

One of best unbiased approach to interpolate between values of two curves is taking appropriate weighted average.

Suppose a parameter P is known to you whose curve is absent in chart given to you. Let 'P_lower' and 'P_upper' be the nearest values of parameter below and above whose curves are available.

Using above values obtain stress concentration factor 'S_lower' and 'S_upper'.

Now find 'f' (fraction) such that:

P = f * P_lower + (1 - f) * P_upper

Obtaining this 'f' calculate interpolated value as follows:

S_equivalent = f * S_lower + (1 - f) * S_upper

'S_equivalent' is required interpolated value.

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