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Tension on Vertical Drill String Formula

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Tension on Vertical Drill String is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar object. Check FAQs

T = ρ s \cdot [g] \cdot A s \cdot (L Well - z)

T - Tension on Vertical Drill String?ρ_s - Mass Density of Steel?A_s - Cross Section Area of Steel in Pipe?L_Well - Length of Pipe Hanging in Well?z - Coordinate measured Downward from Top?[g] - Gravitational acceleration on Earth?

Tension on Vertical Drill String Example

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Here is how the Tension on Vertical Drill String equation looks like with Values.

Here is how the Tension on Vertical Drill String equation looks like with Units.

Here is how the Tension on Vertical Drill String equation looks like.

494.01 = 7750 \cdot 9.8066 \cdot 0.65 \cdot (16 - 6)

494.01kN = 7750kg/m³ \cdot 9.8066m/s² \cdot 0.65m² \cdot (16m - 6)

494.01 = 7750 \cdot 9.8066 \cdot 0.65 \cdot (16 - 6)

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Tension on Vertical Drill String Solution

Follow our step by step solution on how to calculate Tension on Vertical Drill String?

FIRST Step Consider the formula

T = ρ s \cdot [g] \cdot A s \cdot (L Well - z)

Next Step Substitute values of Variables

∴

T = 7750kg/m³ \cdot [g] \cdot 0.65m² \cdot (16m - 6)

Next Step Substitute values of Constants

∴

T = 7750kg/m³ \cdot 9.8066m/s² \cdot 0.65m² \cdot (16m - 6)

Next Step Prepare to Evaluate

∴

T = 7750 \cdot 9.8066 \cdot 0.65 \cdot (16 - 6)

Next Step Evaluate

∴

T = 494009.99375N

Next Step Convert to Output's Unit

∴

T = 494.00999375kN

LAST Step Rounding Answer

∴

T = 494.01kN

Tension on Vertical Drill String Formula Elements

Variables

Constants

Tension on Vertical Drill String

Tension on Vertical Drill String is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar object.

Symbol: T

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Tension on Vertical Drill String

Mass Density of Steel

Mass Density of Steel varies based on the alloying constituents but usually ranges between 7,750 and 8,050 kg/m3.

Symbol: ρ_s

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Mass Density of Steel

Cross Section Area of Steel in Pipe

Cross Section Area of Steel in Pipe is the extent of a surface or plane figure as measured in square units.

Symbol: A_s

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Cross Section Area of Steel in Pipe

Length of Pipe Hanging in Well

Length of Pipe Hanging in Well is essential in calculating all other values required in drilling.

Symbol: L_Well

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe Hanging in Well

Coordinate measured Downward from Top

Coordinate measured Downward from Top depends on tension on a Vertical Drill String.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coordinate measured Downward from Top

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Hydrostatics category

Go Mass Density of Steel for Tension on Vertical Drill String

ρ s = \frac{T}{[g] \cdot A s \cdot (L Well - z)}

Go Coordinate measured Downward from Top given Tension on Vertical Drill String

z = - ((\frac{T}{ρ s \cdot [g] \cdot A s}) - L Well)

Go Cross Section Area of Steel in Pipe given Tension on Vertical Drill String

A s = \frac{T}{ρ s \cdot [g] \cdot (L Well - z)}

Go Length of Pipe Hanging in Well given Tension on Vertical Drill String

L Well = (\frac{T}{ρ s \cdot [g] \cdot A s}) + z

How to Evaluate Tension on Vertical Drill String?

Tension on Vertical Drill String evaluator uses Tension on Vertical Drill String = Mass Density of Steel*[g]*Cross Section Area of Steel in Pipe*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top) to evaluate the Tension on Vertical Drill String, Tension on Vertical Drill String by considering steel drilling pipe hanging in oil well for two different ways of looking at buoyant force on body lead to two different approaches to static internal loads on structure as well. Tension on Vertical Drill String is denoted by T symbol.

How to evaluate Tension on Vertical Drill String using this online evaluator? To use this online evaluator for Tension on Vertical Drill String, enter Mass Density of Steel (ρ_s), Cross Section Area of Steel in Pipe (A_s), Length of Pipe Hanging in Well (L_Well) & Coordinate measured Downward from Top (z) and hit the calculate button.

FAQs on Tension on Vertical Drill String

What is the formula to find Tension on Vertical Drill String?

The formula of Tension on Vertical Drill String is expressed as Tension on Vertical Drill String = Mass Density of Steel*[g]*Cross Section Area of Steel in Pipe*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top). Here is an example- 0.49401 = 7750*[g]*0.65*(16-6).

How to calculate Tension on Vertical Drill String?

With Mass Density of Steel (ρ_s), Cross Section Area of Steel in Pipe (A_s), Length of Pipe Hanging in Well (L_Well) & Coordinate measured Downward from Top (z) we can find Tension on Vertical Drill String using the formula - Tension on Vertical Drill String = Mass Density of Steel*[g]*Cross Section Area of Steel in Pipe*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Tension on Vertical Drill String be negative?

Yes, the Tension on Vertical Drill String, measured in Force can be negative.

Which unit is used to measure Tension on Vertical Drill String?

Tension on Vertical Drill String is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Tension on Vertical Drill String can be measured.

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Tension on Vertical Drill String Formula

Tension on Vertical Drill String Example

Tension on Vertical Drill String Solution

Tension on Vertical Drill String Formula Elements

Other formulas in Hydrostatics category

How to Evaluate Tension on Vertical Drill String?

FAQs on Tension on Vertical Drill String

Variable Name