Question

Which of the mentioned below is the Rankine’s formula?

(a) Pcr=\(\frac{A}{1+a(\frac{L}{K_{xx}})}\)

(b) Pcr=\(\frac{\sigma_cA}{1+a(\frac{L}{K_{xx}})}\)

(c) Pcr=\(\frac{A^2}{1+a(\frac{L}{K_{xx}})}\)

(d) Pcr=\(\frac{\sigma_cA^2}{1+a(\frac{L}{K_{xx}})}\)

I got this question by my college professor while I was bunking the class.

I'm obligated to ask this question of IC Engine in section Design of IC Engine Components of Automotive Engine Design

Answer 1

The correct option is (b) Pcr=\(\frac{\sigma_cA}{1+a(\frac{L}{K_{xx}})}\)

Explanation: The Rankine’s formula is given by Pcr=\(\frac{\sigma_cA}{1+a(\frac{L}{K_{xx}})}\) where pc is the force on connecting rod, A is the cross-sectional area, L is the length of connecting rod, a is end fixity coefficient, σc is stress and Kxx is the radius of gyration.