Asolid shaft of diameter d is subjected to a bending moment m and a torque t a)- derive an expression for the maximum shear stress as a function of d, m, and t b)- if m 3.0 kn-m and t 2.5 kn-m, what is the smallest diameter such that the maximum shear stress does not exceed 140 mpa?

Aturning operation is performed with following conditions: rake angle of 12°, a feed of 0.35 mm/rev, and a depth of cut of 1.1 mm. the work piece is aluminum alloy 6061 with t6 heat treatment (a16061-t6). the resultant chip thickness was measured to be 1.0 mm. estimate the cutting force, fc. use shear stress of 207 mpa and coefficient of friction on the tool face of 0.6.