FORMULA SHELF 2 of 370

The arithmetic behind the work: what to measure, what to type in, and what the answer comes out as. Every formula says what the symbols mean and gives a worked example, so you can check it against a job you have already done.

Quick calculators. A calculator appears where the formula is a single, clean equation with clear symbols. It is a convenience, not an authority: double-check every result yourself, especially doses, loads, torque and safety-critical settings.

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Kitchen 1 formulas

Scaling a recipe up or down

new weight = old weight x (target yield / current yield)

SYMBOLS · work out the factor from the yield, not from the number of people, and scale the seasoning by the same factor

UNITS · factor

HOW TO USE

The quickest kitchen arithmetic. Divide by the factor for a smaller batch, and remember that a double batch does not cook in double the time.

EXAMPLE

A recipe for 6 with 300 g of flour, baked for 25 minutes: for 4, multiply by 0.67, so 200 g of flour and about 20 minutes.

scaling recipe yield batch cooking

Physics 1 formulas

Beam deflection

delta = (5 x w x L4) / (384 x E x I) for a simply supported beam with a central load

SYMBOLS · w = load per unit length; L = span; E = Young's modulus; I = second moment of area = (b x h3) / 12

UNITS · metres

HOW TO USE

Why a fence rail sags, why a steel beam needs to be deep rather than wide, and why a long trailer bed needs cross members. Depth beats width every time.

EXAMPLE

Doubling the depth of a beam reduces its sag by 16 times.

QUICK CALCULATOR delta = result

w load per unit length L span E Young's modulus I second moment of area = (b x h3) / 12

Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

beam deflection sag beam joist trailer bed

SOURCES & PROVENANCE 1 listed

This page is an AI-organised index. The label means the grouping and cross-links were compiled with AI; the information itself comes from the public-domain books, reports and manuals listed below. Open any source to read the local copy or follow the link to the original publication.

AI-ORGANISED INDEX Runchero formula index Runcheroindex

AI-organised depot index

The index is AI-organised; the linked sources are not.

Formulas collected and indexed with AI. The calculators are convenience tools; double-check every result before using it.