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Geometric Buckling Calculator

☢ Nuclear & Decay. Use the Geometric buckling (sphere) formula to find buckling b², core radius: pick the value you want, type the others, and the answer updates as you go.

B2=(πR)2B^2 = \left(\dfrac{\pi}{R}\right)^2
Buckling B²0.98838 1/m²

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Buckling B²1/m²
Core radiusm

Worked example

Find the buckling b² when Core radius = 3.16 m.

Using B² = (π/R)²: Buckling B² = 0.98838 1/m².

Frequently asked questions

What is the formula for Geometric buckling (sphere)?

B² = (π/R)².

What do the letters stand for, and what units are used?

Buckling B² in 1/m², Core radius in m.

How do you calculate buckling b²?

Put the values into B² = (π/R)². For example, with Core radius = 3.16 m, buckling b² = 0.98838 1/m².

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (buckling b², core radius) and fill in the others: it rearranges the formula for you.

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