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Drilling EngineeringMud and Cementing

Radial Force Related to Axial Load in Cementing Slips Formula

Wr=1μtanαμ+tanαFW_r=\frac{1-\mu\tan\alpha}{\mu+\tan\alpha}F

Radial Force Related to Axial Load in Cementing Slips calculates radial force related to axial load for mud and cementing workflows in drilling engineering.

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How engineers use this formula

Use this formula when the listed inputs (F_axial, alpha_deg, mu_slip) are known and the assumptions behind the cited mud and cementing relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, W_r equals 128,177.708922 lbf.

F_axiallbf

50000

alpha_degdeg

10

mu_slipdimensionless

0.2

Inputs

F_axial

lbf

Axial Force or Load

alpha_deg

deg

Slip Bowl Taper Angle

mu_slip

dimensionless

Slip Friction Coefficient

Outputs

W_r

lbf

Radial Force Related to Axial Load

slip_factor

dimensionless

Radial-to-Axial Load Factor

F_axial

lbf

Axial Force or Load

Source and review

reviewed

Cementing Handbook, Suman Jr., G.O., Ellis, R.C. (1977)

Suman Jr., G.O. and Ellis, R.C. 1977. Cementing Handbook, World Oil, Page 18.

Source

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