Sinusoidal buckling

Input(s)

E: Modulus of Elasticity (psi)

I: Moment of Inertia (ft4)\left(\mathrm{ft}^{4}\right)

W: Weight on Bit (lbf)

θ\theta: Angle of Wellbore Inclination (degree)

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

Output(s)

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

Formula(s)

Fs=2((EI Wsin(θ)r)0.5)\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.

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