Sinusoidal buckling

Input(s)

E: Modulus of Elasticity (psi)

I: Moment of Inertia $\left(\mathrm{ft}^{4}\right)$

W: Weight on Bit (lbf)

$\theta$: Angle of Wellbore Inclination (degree)

r: Radial Clearence Between Wellbore and Component $(\mathrm{ft})$

Output(s)

$\mathrm{F}_{\mathrm{s}}$: Buckling Force (lbf)

Formula(s)

$$ \mathrm{F}_{\mathrm{s}}=2 *\left(\left(\frac{\mathrm{E} * \mathrm{I} * \mathrm{~W} * \sin (\theta)}{\mathrm{r}}\right)^{0.5}\right) $$

Reference(s)

Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015. Houston, Texas, Page: 426.