A stepped steel shaft, shown below, is used in a spur gear reducer. The shaft is subjected to a constant axial stress (A=40 MPa), a constant bending moment that results in a variable stress (M=60 MPa) due to loads by bearings and gears, and a steady torque (T=80 MPa). However, these stress values do not take into account stress concentration factors. The shaft has a D=45 mm, d=30 mm, and r=6 mm, resulting in ki,bend=1.34, Kraxial 1.48, and k₁,tor 1.2. The shaft is made of steel with S,=1006 MPa, S,=648 MPa, and H₂=229. The size of the shaft results in a gradient factor of CG=0.9. The shaft has a fine-ground finish. A 90% reliability is required. Verify the stress concentration factors are correct for this shaft geometry. Calculate the safety factor relative to infinite life (106 cycles). If the safety factor is less than one (i.e., shaft fails), find the number of cycles to failure.

The splined ends and gears attached to the steel shaft are subjected to the torques shown in Figure 4. Take G = 75 GN/m². (i) (ii) Determine the location along the 40 mm diameter shaft where the shear stress is largest and plot the variation in shear stress from the shaft centre to its outer surface. Determine the angle of twist of sections C, D, and B relative to end A by producing a graphical plot of the variation of angle of twist from end A to end B (wind-up diagram). 300 N-m 500 N-m A www. 300 mm 200 N.m MAAN 400 mm Figure 4 500 mm 400 N-m

Could you answer quickly pls? ( course: strength of materials 1)

A 1.50-in.-diameter solid shaft is subjected to an axial force of P = 1700 lb, a horizontal shear force of V = 180 lb, and a concentrated torque of T = 2200 lb-in., acting in the directions shown. Assume L = 7.5 in.  Section properties for the shaft are A = 1.7671 in.2, J = 0.497 in.4, Iy = Iz = 0.2485 in.4, and Q = 0.2812 in.3.  Determine the normal and shear stresses at point K, and show these stresses on a stress element.