In Problem 14.12, let the twisting moment T and bending moment M be repeatedly applied thr...

In Problem 14.12, let the twisting moment T and bending moment M be repeatedly applied through completely reversed cycles. Assume that q = 0.80 for the material in the shaft under repealed load. Compute the significant value of the maximum principal stress and maximum shear stress in the shaft at a cross section through the root of the groove.

Problem 14.12

Let the shaft of Problem 14.4 be subjected simultaneously to a bending moment M = 15.0 kN • m and torsional moment T = 30.0 kN • m. With the stress concentration factors determined in Problem 14.4, compute the following stress quantities that occur in the shaft at the root of the groove:

a. the maximum principal stress

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b. the maximum shear stress

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c. the octahedral shear stress

Problem 14.4

A cylindrical shaft has a circular groove, the depth of the groove is t = 6.00 mm, and the radius at the root of the groove is ρ = 2.20 mm. (See Figure D, Table 14.3.) The radius of the cross section at the root of the groove is b = 60 mm. By Neuber’s nomograph (Figure 14.10), determine the value of Scc for the cases where the shaft is subjected to

a. axial tensile load

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b. bending

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c. torsion

Figure D of Table 14.3:

TABLE 14.3 Directions for Use of Figure 14.10 (Neuber) in Finding Calculated Stress Concentration Factor Scc in Bars

FIGURE 14.10 Neuber's diagram (nomog raph) for a calculated stress concentration factor at the root of a notch.