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Cross Section Area of Steel given Effective Tension Formula

GoCross Section Area of Steel in Pipe given Tension on Vertical Drill String Formula

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

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

A_s - Cross Section Area of Steel in Pipe?T_e - Effective Tension?ρ_s - Mass Density of Steel?ρ_m - Density of Drilling Mud?L_Well - Length of Pipe Hanging in Well?z - Coordinate measured Downward from Top?[g] - Gravitational acceleration on Earth?

Cross Section Area of Steel given Effective Tension Example

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Here is how the Cross Section Area of Steel given Effective Tension equation looks like with Values.

Here is how the Cross Section Area of Steel given Effective Tension equation looks like with Units.

Here is how the Cross Section Area of Steel given Effective Tension equation looks like.

0.65 = \frac{402.22}{(7750 - 1440) \cdot 9.8066 \cdot (16 - 6)}

0.65m² = \frac{402.22kN}{(7750kg/m³ - 1440kg/m³) \cdot 9.8066m/s² \cdot (16m - 6)}

0.65 = \frac{402.22}{(7750 - 1440) \cdot 9.8066 \cdot (16 - 6)}

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Cross Section Area of Steel given Effective Tension Solution

Follow our step by step solution on how to calculate Cross Section Area of Steel given Effective Tension?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A s = \frac{402.22kN}{(7750kg/m³ - 1440kg/m³) \cdot [g] \cdot (16m - 6)}

Next Step Substitute values of Constants

∴

A s = \frac{402.22kN}{(7750kg/m³ - 1440kg/m³) \cdot 9.8066m/s² \cdot (16m - 6)}

Next Step Convert Units

∴

A s = \frac{402220N}{(7750kg/m³ - 1440kg/m³) \cdot 9.8066m/s² \cdot (16m - 6)}

Next Step Prepare to Evaluate

∴

A s = \frac{402220}{(7750 - 1440) \cdot 9.8066 \cdot (16 - 6)}

Next Step Evaluate

∴

A s = 0.650000404412016m²

LAST Step Rounding Answer

∴

A s = 0.65m²

Cross Section Area of Steel given Effective Tension Formula Elements

Variables

Constants

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

Effective Tension

Effective Tension when buoyant force acts in a direction opposite to the gravity force.

Symbol: T_e

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Effective Tension

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

Density of Drilling Mud

Density of Drilling Mud considering a steel drilling pipe hanging in an oil well.

Symbol: ρ_m

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Density of Drilling Mud

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 to find Cross Section Area of Steel in Pipe

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)}

Other formulas in Hydrostatics category

Go Tension on Vertical Drill String

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

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 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 Cross Section Area of Steel given Effective Tension?

Cross Section Area of Steel given Effective Tension evaluator uses Cross Section Area of Steel in Pipe = Effective Tension/((Mass Density of Steel-Density of Drilling Mud)*[g]*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top)) to evaluate the Cross Section Area of Steel in Pipe, The Cross Section Area of Steel given Effective Tension, if the buoyant force caused by the mud is treated as a distributed force concluding, that there is a distributed buoyant force acting on the entire body equal to the weight of drilling mud displaced by the drill string. Cross Section Area of Steel in Pipe is denoted by A_s symbol.

How to evaluate Cross Section Area of Steel given Effective Tension using this online evaluator? To use this online evaluator for Cross Section Area of Steel given Effective Tension, enter Effective Tension (T_e), Mass Density of Steel (ρ_s), Density of Drilling Mud (ρ_m), Length of Pipe Hanging in Well (L_Well) & Coordinate measured Downward from Top (z) and hit the calculate button.

FAQs on Cross Section Area of Steel given Effective Tension

What is the formula to find Cross Section Area of Steel given Effective Tension?

The formula of Cross Section Area of Steel given Effective Tension is expressed as Cross Section Area of Steel in Pipe = Effective Tension/((Mass Density of Steel-Density of Drilling Mud)*[g]*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top)). Here is an example- 0.65 = 402220/((7750-1440)*[g]*(16-6)).

How to calculate Cross Section Area of Steel given Effective Tension?

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

What are the other ways to Calculate Cross Section Area of Steel in Pipe?

Here are the different ways to Calculate Cross Section Area of Steel in Pipe-

Cross Section Area of Steel in Pipe=Tension on Vertical Drill String/(Mass Density of Steel*[g]*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top))

Can the Cross Section Area of Steel given Effective Tension be negative?

Yes, the Cross Section Area of Steel given Effective Tension, measured in Area can be negative.

Which unit is used to measure Cross Section Area of Steel given Effective Tension?

Cross Section Area of Steel given Effective Tension is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Cross Section Area of Steel given Effective Tension can be measured.

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Cross Section Area of Steel given Effective Tension Formula

​GoCross Section Area of Steel in Pipe given Tension on Vertical Drill String Formula

Cross Section Area of Steel given Effective Tension Example

Cross Section Area of Steel given Effective Tension Solution

Cross Section Area of Steel given Effective Tension Formula Elements

Other Formulas to find Cross Section Area of Steel in Pipe

Other formulas in Hydrostatics category

How to Evaluate Cross Section Area of Steel given Effective Tension?

FAQs on Cross Section Area of Steel given Effective Tension

Variable Name

GoCross Section Area of Steel in Pipe given Tension on Vertical Drill String Formula