Results from every tool here are for reference only. Check them against other sources before relying on them for a real decision.
Structural & mechanical reference

Engineering

Three calculators for the numbers that come up constantly on the bench or in the field — bending, flow, and how hard to turn the wrench. Pick one below.

Beam Bench

Deflection, bending stress, and safety factor for five standard support & load cases — load, shear, moment, and deflection drawn live.

δ = 5wL⁴⁄384EI · σ = M⁄Z
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Pipe Flow & Pressure Drop

Darcy–Weisbach head loss with a live Moody diagram — flow rate, pipe size, material, and fluid in, pressure drop out.

ΔP = f·(L⁄D)·(ρv²⁄2)
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Bolt Torque & Preload

Pick a bolt size, grade, and lubrication condition — get the installation torque, with a realistic ±25% uncertainty band.

T = K·D·F
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