Rope Rotation

Abstract

As was shown previously, the total axial force F and the total axial twisting moment M _t acting on a rope can be expressed as

$$ \frac{F}{{AE}}\,\, = \,\,{C_1}\varepsilon \,\, + \,\,{C_2}\beta $$

(8.1)

and

$$ \frac{{{M_t}}}{{E{R^3}}}\,\, = \,\,{C_3}\varepsilon \,\, + \,\,{C_4}\beta , $$

(8.2)

where A = ΣπR² _i , R is the radius of the rope and ε and β are the axial and rotational strains. The rotational strain is defined by the equation

$$ \beta \,\, = \,\,R\tau , $$

(8.3)

where τ is the angle of twist per unit length.