Unified Thread Standard (UN/UNF/UNEF) dimension reference lookup, Class 2A/2B.

Assumptions & reference library — standard load cases, units, and material references.

Calculation report template — audit-ready margin-of-safety report generator.

Bend allowance, setback, bend deduction and flat length of a single sheet metal bend.

Power to hold a speed on a grade from rolling resistance, air drag, grade and acceleration.

Belt length, wrap angles and speeds for an open belt on two pulleys.

Peak velocity, acceleration and jerk of a cam follower rise for harmonic or cycloidal motion.

Draft, metacentric height and righting arm of a rectangular floating body.

Tangential, radial and axial tooth forces on a helical gear.

Volume, surface area and weight of common solid shapes.

Sizes, ratio, base circles and contact ratio of a pair of standard spur gears.

Lead angle, efficiency, output torque and self-locking of a worm gear pair.

Maximum and minimum clearance or interference of a hole and shaft fit.

Approximate steel tensile strength from Brinell hardness with a margin.

Strength and stiffness per unit weight of library materials.

Availability and mission reliability from MTBF and MTTR.

Weight and center of gravity from scale readings.

Control limits for subgroup averages and ranges.

Backlash range from center distance tolerance.

Cp, Cpk and expected parts out of tolerance for a process and its limits.

Principal stresses and Mohr circle for plane stress.

Flexural modulus and stress from a three-point bend test.

Position tolerance for floating and fixed fastener holes.

Radius and arc length from chord and rise.

Dry coating mass and material to apply.

Spindle speed, feed and power for milling.

Sine bar stack height and angle error.

Convert between taper per inch, per foot and angle.

Three-wire thread measurement and pitch diameter.

Arc weld heat input per length.

Shear, bulk and Lame constants from E and Poisson ratio.

Gear mesh frequencies and separation from a resonance.

Independent uncertainty sources combine by root sum of squares.

Diluting a stock solution to a lower strength needs a known volume of stock and solvent.

The weight of a plain block comes from its size and density.

A cone cut off flat, as in a funnel or a hopper, has a volume and a side area set by its two radii and height.

A sample mean carries an uncertainty that shrinks with the sample size.

The distance round an ellipse has no simple exact form, but a close approximation is easy.

Three sides fix a triangle.

Repeated work gets faster by a fixed fraction each time the quantity doubles.

The number of samples needed to know a mean within a set margin depends on the scatter and the confidence wanted.

The road speed of a vehicle follows from engine speed, the total gear ratio and the tire size.

A tension test gives two measures of ductility: the stretch over the gauge length, and the thinning at the break.

In electroplating the metal deposited follows the charge passed.

A hole or pin at maximum material condition gets extra position tolerance as its size moves away from the limit.