Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

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# Mathematics

## Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.

### Addition and Subtraction of Fractions

How to add and subtract fraction numbers.

### Algebraic Expressions

Principal algebraic expressions formulas.

### Angle Calculator - Carpenter's Square

Calculate angles with a straight board across carpenter's square.

### Angle Converter

Converting between angle units.

### Area of Intersecting Circles

Calculate area of intersecting circles

### Area Survey App

Online app that can be used to make an exact plot of a surveyed area - like a room, a property or any 2D shape.

### ASCII Codes

ASCII codes and characters.

### Binary Adding, Subtraction, Multiplicaton and Division

Adding, subtracting, multiplying and dividing binary numbers.

### Binary to Decimal, Hexadecimal and ASCII Converter

Convert between binary, decimal and hexadecimal numbers.

### Binary, Octal and Hexadecimal Numbers

Decimal, binary, octal and hexadecimal numbers.

### Binomial Theorem

Binomial theorem for positive integers.

### Boolean Algebra

Logic functions where the values of variables are true (1) or false (0).

### Cartesian Coordinate System - Distance and Intermediate Position Between Two Points

Distance and intermediate position between two point in a cartesian x and y coordinate system.

### Center of Gravity

A body and the center of gravity.

### Centroids of Plane Areas

The controid of square, rectangle, circle, semi-circle and right-angled triangle.

### Circle - Equation

The equation for a circle

### Circle - the Chord Lengths when Divided in to Equal Segments

Calculate chord lengths when dividing the circumference of a circle into an equal number of segments.

### Circles Outside a Circle

Calculate the numbers of circles on the outside of an inner circle - like the geometry of rollers on a shaft.

### Circles within a Rectangle - Calculator

Calculate the maximum number of circles within a rectangle - can be used to calculate the numbers of pipes or wires in a conduit or similar.

### Complex Numbers

Complex numbers are used in alternating current theory and mechanical vector analysis.

### Content in Horizontal - or Sloped - Cylindrical Tanks or Pipes

Volume of partly filled horizontal or sloped cylindrical tanks or pipes - online calculator.

### Data Types

Signed vs. unsigned datatypes.

### Decimal System Prefixes

Prefix names used for multiples and submultiples units.

### Differential Calculus

Derivatives and differentiation expressions.

### Discrete Data Sets and their Mean, Median and Mode Values

Calculate the arithmetic mean, median and modal values from discrete data sets.

### Distance between 3D Points

Distance between two points in a three dimension x, y and z coordinate system - online calculator.

### Elementary Curves

Ellipse, circle, hyperbola, parabola, parallel, intersecting and coincident lines.

### Elementary Surfaces

Ellipsoid, sphere, hyperboloid, cone and more.

### Equal Areas - Circles vs. Squares

Radius and side lengths of equal areas, circles and squares.

### Exponents - Powers and Roots

The laws of fractional and integer exponents.

### Factorials

The product of all positive integers.

Law of fractions

### Fractions and Decimal Inches Equivalents

The inches fractional and decimal equivalents.

### Geometric Shapes - Areas

Areas, diagonals and more - of geometric figures like rectangles, triangles, trapezoids ..

### Hexagons and Squares - Diagonal Lengths

Distances between corners for hexagons and squares.

### Hyperbolic Functions

Exponential functions related to the hyperbola.

### Law of Cosines

One side of a triangle when the opposite angle and two sides are known.

### Law of Sines

Calculate the angles in a generic triangle.

### Law of Tangents

Triangles and law of tangents.

### Laws of Indices

Simplifying calculations by involving indices.

### Length of a Spiral

Calculate the length of a spiral or the length of material contained in a roll.

### Logarithms

The rules of logarithms - log10 and loge for numbers ranging 1 to 1000.

### Minutes vs. Degrees - Converting Chart

Convert from minutes to degrees.

### Numbers - Square, Cube, Square Root and Cubic Root Calculator

Calculate square, cube, square root and cubic root. Values tabulated for numbers ranging 1 to 100.

### Numbers - Standard Form, Scientific and Engineering Notation

The difference between standard, scientific and engineering number notation.

### Oblique Triangle

Calculate oblique triangles.

### Optical Distance Law

Geometric dilution of light vs. distance.

### Percentage

Working with relative values.

### Pipes - Fractional Equivalents

Fractional vs. decimal inches.

### Polar vs. Cartesian Coordinates

Convert between Cartesian and Polar coordinates.

### Prime Numbers

Prime numbers up to 1000.

### Pythagorean Theorem

Verifying square corners.

Radian is the SI unit of angle. Convert between degrees and radians. Calculate angular velocity.

### Ratios and Proportions

The relative values between quantities - ratios and proportions.

### Regular Polygons

Areas of regular polygons - polygons with 3 to 12 sides.

### Right Angled Triangle

Right angled triangle equations.

### Scientific Calculator

Online scientific calculator.

### Smaller Circles within a Larger Circle - Calculator

Calculate the number of small circles that fits into an outer larger circle - ex. how many pipes or wires fits in a larger pipe or conduit.

### Smaller Rectangles within a Larger Rectangle

The maximum number of smaller rectangles - or squares - within a larger rectangle (or square).

### Solids - Volumes and Surfaces

The volume and surface of solids like rectangular prism, cylinders, pyramids, cones and spheres - online calculator.

### Solving Equations of the First Degree with One Unknown

Equations with one unknown.

### Solving First Degree Equations with Two Unknowns

Online calculator and solbing procedure for two equations with two unknowns.

### Solving Quadratic Equation with One Unknown

How to solve a quadratic equation.

### Squares, Cubes and Roots

Numbers - squares, cubes, square roots and cube roots.

### Squaring with Diagonal Measurements

A rectangle is square if the lengths of both diagonals are equal.

### Standard Differentials and Integrals

Equations for differentials and integrals.

A unit of solid-angle measure in the International System of Units (SI)

### Taylor Series

Function as an infinite sum of terms.

### Triangle

Triangle analytical geometry.

### Trigonometric Functions

Sine, cosine and tangent - the natural trigonometric functions.

Online vector calculator - add vectors with different magnitude and direction - like forces, velocities and more.

## Search Engineering ToolBox

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## SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!

## Privacy

We don't collect information from our users. Only emails and answers are saved in our archive. Cookies are only used in the browser to improve user experience.

Some of our calculators and applications let you save application data to your local computer. These applications will - due to browser restrictions - send data between your browser and our server. We don't save this data.

Temperature

oC
oF

Length

m
km
in
ft
yards
miles
naut miles

Area

m2
km2
in2
ft2
miles2
acres

Volume

m3
liters
in3
ft3
us gal

Weight

kgf
N
lbf

Velocity

m/s
km/h
ft/min
ft/s
mph
knots

Pressure

Pa (N/m2)
bar
mm H2O
kg/cm2
psi
inches H2O

Flow

m3/s
m3/h
US gpm
cfm

3 30