• Second moment of area moment of inertiaSecond area moment calculation and radius of gyration of common shapes about weak and strong axes
  • Cubic orientation of primary and shear stresses and principal stress cosine rotationCombine primary and shear stresses into equivalent and principal stresses & their cosines
  • Nucleus and electron shells of atomic elementFind, sort and reorganise the properties of nature's atomic elements with active periodic table
  • Formulas included in Engineering PrinciplesCalculate unknowns in principle engineering formulas: stress, moments, power, energy, capstans, fluids, etc.
  • Properties of a triangle with inscribed and circumscribed circlesCalculate the properties of triangles and triangular configurations including inscribed and circumscribed circles
Area Moment calculation1 Combined Stress calculation2 Elements database3 Engineering Principles calculation4 Trigonometry calculation5
access to the technical calculator
Technical Help 2ᴺᴰ Moment of Area 2ᴺᴰ Moment of Area+ Added Mass & Drag Areas & Volumes Balancing (rotary) Beam Strength Beam Strength+ Bearings (low friction) Bearings (plain) Bending Moments BiMetallic Strip Buoyancy Carbon Steel Catenary Catenary+ Cathodic Protection Centrifugal Force Colebrook & Fanning Column Buckling Combined Stress Co-ordinates Copper Alloys Electrical Current Elliptical Curves Engineering Basics Explosions Fans Fatigue Flange Gaskets Flanges Floors Fluid Forces Fluid Numbers Friction Galvanic Corrosion Gears Hardness Conversion HPHT Flexible Pipe Lift Rigging Logs & Trig Machining Tolerances Metal Properties Mode Shapes Ocean Waves Optical Lenses Padeyes Partial Pressures Piling Pipe Flow Pipe Flow+ Pipe Strength Plastic Stress in Beams Plate Deflection Pressure Vessels Reel Capacity Resolution of Forces Screw Thread Machining Screw Threads Shafts Shock Loads Spring Strength Spring Coefficients Steel Beam Sizes Stress Concentration Table of the Elements Thermal Conductivity Trigonometry UniQon Upheaval Buckling Velocity & Acceleration Vessel Motions Vessel RAOs Vibration Damping Vortex Shedding Walls, Barriers & Tanks Weight Lifting Welding Wire Rope

Co-Ordinates

Co-ordinates are utilised to pinpoint a location either on a 2-D surface (map) or within a 3-D volume (vector) using angles and/or linear dimensions (assuming general relativity).

Vector coordinates, both cartesian and polar

Fig 1. Vector Co-ordinate Diagram

Vector Co-Ordinates

A vector (Fig 1; V) is a quantity with both magnitude and direction that can be defined using three related dimensions, either linear or angular.

Cartesian Co-Ordinates

Cartesian co-ordinates (Fig 1), are the linear dimensions (x,y,z) that define the end of a vector with respect to two or three-dimensional axes.

Polar Co-Ordinates

Polar co-ordinates (Fig 1) define a vector with respect to a two or three-dimensional plot using angular rotations (α,β) along with its length (V).

Map Co-Ordinates

Longitude and latitude grid system

Fig 2. Map Co-ordinate Diagram

Grid co-ordinates (Fig 2) are normally used to specify a point on a map that may be a flat (2-D) plane or the surface of a 3-D volume, such as the spherical surface of a planet.

Location of a point on a spherical surface, e.g. that of a planet, can be defined either from two related angles at right-angles to each other, that are generally referred to as latitude and longitude, or from circumferential distances at right-angles to each other; e.g. the UTM system.

Co-ordinates Calculator - Technical Help

It is unnecessary to define distance and length units as you will get out whatever you enter.

Input Data

Cartesian to Polar & Polar to Cartesian calculation options:

x, y, z: 3-D linear dimension from the co-ordinate origin to the end of the vector

V: the length of the vector

β: the vertical angle from the x,y plane at z=0 [°]

α: the horizontal angle from the x,z plane at y=0 [°]

Angle to Distance & Distance to Angle calculation options:

R: the radius of the sphere (or planet)

Lat: Latitudinal angle up (+ve) or down (-ve) from the equator [°]

Long: Longitudinal angle east (+ve) or west (-ve) from a datum vertical co-ordinate (e.g. GMT) [°]

N/S: vertical circumferential distance up (+ve) or down (-ve) from the equator

E/W: horizontal circumferential distance east (+ve) or west (-ve) from a datum vertical co-ordinate (e.g. GMT)

Output Data

... input data above and:

a: horizontal 3-D linear dimension from the co-ordinate origin to the end of the vector (Fig 1)

E/W defines the horizontal circumferential length from the datum/origin at the latitudinal height above the equator or horizontal circumferential datum. In other words, this length will reduce as the latitude (Lat) rises until at the top or bottom poles at which point Lat = 90° and E/W = 0

Applicability

The co-ordinates calculator applies to any vector length and spherical diameter within the numerical limits of the operational computer

Accuracy

The co-ordinate calculator produces no known errors.

Further Reading

You will find further reading on this subject in reference publications(15)

      Go to the calculator
CalQlata™ Copyright ©2011-2016 CalQlata info@calqlata.com Site Map Terms of website use Our Store