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.