The longitudinal axes of the two feed rollers in Problem 17.6 are rotated in parallel planes until they form an angle of π/6 radians. The steel shaft is then fed between the two rollers at an angle of π/12 radians with respect to each of the rollers; again, P = 4.5 kN. Determine the maximum principal stress, maximum shear stress, and distance from the plane of contact to the maximum shear stress.
A feed roll (a device used to surface-finish steel shafts) consists of two circular cylindrical steel rollers, each 200 mm in diameter and arranged so that their longitudinal axes are parallel. A cylindrical steel shaft (60 mm in diameter) is fed between the rollers in such a manner that its longitudinal axis is perpendicular to that of the rollers. The total load P between the shaft and rollers is 4.5 kN. Determine the values of the maximum principal stress and maximum shear stress in the shaft. Determine the distance from the plane of contact to the point of maximum shear stress. Use E = 200 GPa and v = 0.29 for the shaft.
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