The shaft is subjected to the vertical and horizontal loadings of two pulleys D and E as shown. It is supported on two journal bearings at A and B which offer no resistance to axial loading. Furthermore, the coupling to the motor at C can be assumed not to offer any support to the shaft. Determine the required diameter d of the shaft if the allowable bending stress is σ_allow= 180 MPa.

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1m' 1m 1m* 400 N 100 mm 400 N 60 mm 150 N 150 N