Axial loads in slips

Input(s)

A: Cross Sectional Area of the Pipe body (in. ${ }^{2}$ )

$\sigma$: Yield Strength of the Casing (psi)

$r$: Outside Casing Radius (in.)

L: Slip Gripping Length (in.)

K: Transverse Load Factor (dimensionless)

Output(s)

$F_{c}$: Critical Axial Load (lbm)

$C$: Crushing Factor (dimensionless)

Formula(s)

$$ C=\frac{F_{c}=C \cdot A \cdot \sigma}{\left[1+\frac{r K}{L}+\left(\frac{r K}{L}\right)^{2}\right]^{1 / 2}} $$

Reference(s)

Suman Jr, G. O., \& Ellis, R. C. (1977). Cementing Handbook. World Oil, Page: 18.