Full working is appreciated, thanks The segment of torsion bar shown in Figure 1

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Full working is appreciated, thanks

The segment of torsion bar shown in Figure 1 is machined from A1SI 4130 annealed steel. The centre section of the bar is fine turned with a diameter of D-30 mm and with a drilled transverse hole of d-3 mm diameter. The mounting sections of the bar arc D-50 mm and the shoulder fillet radius is r-1.5 mm. After manufacture, a sample of torsion bars is to be fatigue tested, and you arc required to provide estimates of this for validation purposes. Calculate the maximum allowable fully reversed torque. T0. permissible if the torsion bar must have a life in excess of 10' load reversals. Calculate the maximum allowable fully reversed torque. Tj, permissible if the torsion bar is only required to last for 103 load reversals. In normal service, the torque condition in the bar fluctuates between values in a generally random manner, but with some observable trends as indicated in Table 1. Machine usage patterns (eg operating loads) cause the torque to be a proportion of the Tj value that you determined in part (b). Estimate the life of the torsion bar in normal service.

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