Pipe Equations
Calculate crosssectional areas, weight of empty pipes, weight of pipes filled with water, inside and outside surface areas.
Cross Sectional inside Pipe Area
Crosssectional inside area of a pipe can be calculated as
A_{i} = π (d_{i} / 2)^{2 }
= π d_{i} ^{2} / 4 (1)
where
A_{i} = crosssectional inside area of pipe (m^{2}, in^{2})
d_{i} = inside diameter (m, in)
Cross Sectional Pipe Wall Area
The crosssectional wall area  or area of piping material  can be calculated as
A_{m} = π (d_{o} / 2)^{2 }  π (d_{i} / 2)^{2 }
= π (d_{o} ^{2}  d_{i} ^{2}) / 4 (2)
where
A_{m} = crosssectional wall area of pipe (m^{2}, in^{2})
d_{o} = outside diameter (m, in)
Weight of Empty Pipes
Weight of empty pipes per unit length can be calculated as
w_{p} = ρ_{m} A_{m}
= ρ_{m} (π (d_{o} / 2)^{2 }  π (d_{i} / 2)^{2})
= ρ_{m} π (d_{o}^{2 }  d_{i}^{2}) / 4 (3)
where
w_{p} = weight of empty pipe per unit length (kg/m, lb/in)
ρ_{s} = density of pipe material (kg/m^{3}, lb/in^{3})
Weight of Liquid in Pipes
Weight of liquid in pipes per unit length can be calculated as
w_{l} = ρ_{l} A
= ρ_{l} π (d_{i} / 2)^{2}
= ρ_{l} π d_{i}^{2} / 4 (4)
where
w_{l} = weight of liquid in pipe per unit length of pipe (kg, lb)
ρ_{l} = density of liquid (kg/m^{3}, lb/in^{3})
Weight of Pipe filled with Liquid
Weight of pipe filled with liquid per unit length can be calculated as
w = w_{l} + w_{p} (5)
where
w = weight of pipe and liquid per unit length of pipe (kg, lb)
Outside Surface Area of Pipes
Outside surface area of steel pipes per unit length can be calculated as
A_{o} = 2 π (d_{o} / 2)
= π d_{o} (6)
where
A_{o} = outside area of pipe  per unit length of pipe (m^{2}, in^{2})
Inside Surface Area of Pipes
Inside surface area of steel pipes per unit length can be calculated as
A_{i} = 2 π (d_{i} / 2)
= π d_{i} (7)
where
A_{i} = inside area of pipe  per unit length of pipe (m^{2}, in^{2})
Related Topics

Dimensions
Sizes and dimensions of pipes and tubes, and their fittings  inside and outside diameter, weight and more.
Related Documents

ANSI Schedule 40 Steel Pipes  Dimensions
Internal and external diameters, areas, weights, volumes and number of threads for ANSI schedule 40 steel pipes. 
Area Units Converter
Convert between units of area. 
DarcyWeisbach Equation  Major Pressure and Head Loss due to Friction
The DarcyWeisbach equation can be used to calculate the major pressure and head loss due to friction in ducts, pipes or tubes. 
HazenWilliams Friction Loss Equation  calculating Head Loss in Water Pipes
Friction head loss (ft_{H2O} per 100 ft pipe) in water pipes can be estimated with the empirical HazenWilliams equation. 
Ice Loaded Pipelines
Ice coat weigth on horizontal pipe lines. 
Manning's Formula and Gravity Flow
Calculate crosssectional average velocity flow in open channels. 
Pipe Formulas
Pipe and Tube Equations  moment of inertia, section modulus, traverse metal area, external pipe surface and traverse internal area  imperial units 
Pipe Weight Calculator
Weight calculating equation for steel pipes. 
Pipes  Fractional Equivalents
Fractional vs. decimal inches. 
Pipes  Nominal Wall Thickness
Nominal wall thickness of seamless and welded carbon and alloy steel pipes 
Pipes and Tubes  Water Content
Water content in steel pipes and copper tubes. 
Stainless Steel Pipes  Dimensions and Weights
Dimensions, wall thickness and weights of stainless steel pipes according to ASME B36.19 Stainless Steel Pipes. 
Welded Steel Pipes  Weights
Nominal weights of welded steel pipes ranging 26  60 inches.