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In determine the minimum fillet radius needed at the

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Unformatted text preview: the minimum fillet radius needed at the junction between the two portions of the shaft. The maximum shearing stress in the portion of the shaft with the 2-in. diameter: Thus, the minimum permissible radius for the fillet between the two portions of the shaft is: K.M. Anwar Hossain, PhD, PEng; Ryerson University Class problem 6-95: A fillet with a radius of 1/8 in. is used at the junction in a stepped shaft where the diameter is reduced from 8 inch to 6 inch. Determine the maximum torque that the shaft can transmit if the maximum shearing stress in the fillet must be limited to 12 ksi. 6-96: A semicircular groove with a 5-mm radius is required in a 110-mm diameter shaft. If the maximum shearing stress in the shaft must be limited to 60 MPa, determine the maximun torque that can be transmitted by the shaft. K.M. Anwar Hossain, PhD, PEng; Ryerson University K.M. Anwar Hossain, PhD, PEng; Ryerson University 5 Torsion in Non-circular Section Torsional stresses are proportional to distance from the axis. If this is true the torsional stresses should be higher at the corner of the rectangular cross-section Duleau (1820) proved that this is not true for rectangular section. K.M. Anwar Hossain, PhD, PEng; Ryerson University If there is stress at the corners , it could be resolved into two components: orthogonal stresses would also exist as shown by dashed arrows K.M. Anwar Hossain, PhD, PEng; Ryerson University K.M. Anwar Hossain, PhD, PEng; Ryerson University Last components can not exist because of the free surface Therefore, shearing stress at the corner should be zero 6 • First correct analysis of torsional behaviour of non-circular section was published by “Saint Venant in 1855 • It shows that except for circular cross-section, every section will warp (not remain in plane) when twisted. • For rectangular section, the distortion of the small squares is maximum at the midpoint of a side of the cross-section and disappears at the corner Torsion in Noncircular Section K.M. Anwar Hossain, P...
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