A two-stage shaft with dimensions d=6 cm has been permanently fixed at the left end and loaded with moments of 20 and 30 kNm as shown in the figure. Assume G=80 GPa. Calculate and draw the graphs of torsional moments, shear stresses, and the angle of twist: \( M(x), \tau(x), \varphi(x) . \)

Calculate the maximum value of the moment M that can be applied to the shaft shown in the figure below and the total angle of twist of the shaft. Data: \(d, l, G, k_s\).

A two-stage shaft with dimensions 2/3D and D=10cm has been permanently fixed at the right end and loaded with moments of 20 and 60 kNm as shown in the figure. Assume G=80 GPa. Calculate and draw the graphs of torsional moments, unit angle of twist, and angle of twist: \(M(x), \Delta l(x), \tau(x)\). Calculate the stresses in section alpha.

A two-stage shaft was permanently fixed at the left end and loaded with moments of 30 and 70 kNm as shown in the drawing. Assume G=80 GPa. Calculate and draw the graphs of torsional moments, shear stresses, and the angle of twist: \(M(x), \tau(x), \varphi(x)\). The allowable angle of twist \(\varphi_{dop}=0,2 \ ^o/m\), dimension the diameter of the rod D.

The drilled shaft was permanently fixed at the left end and loaded with a moment of 30 kNm as shown in the drawing. Assume G=80 GPa. Calculate and draw the graphs of torsional moments, shear stresses, and the angle of twist: \(M(x), \tau(x), \varphi(x)\). The permissible angle of twist \(\varphi_{dop}=0,4^o\), torsional strength \(\tau_{dop}=60\ MPa\). Dimension the diameter of the rod D.

Calculate the total angle of torsion of the shaft AD shown in the figure. Given data: G = 80 GPa d1 = 0.08 m d2 = 0.04 m d3 = 0.06 m

Select the dimension d based on the safety condition for twisting. Calculate the angle of twist at the midpoint of the rod. Data: M, k, a, G, d.

Select the dimension d based on the safety condition for twisting. Calculate the total angle of twist. Data: M, k, a, G, d.

Select the dimension d based on the safety condition for twisting. Calculate the total angle of twist. Data: M, k, a, G, d.

Design the dimension d based on the safety condition for twisting. Calculate the total angle of twist. Data: M, k, a, G, d.

Design the dimension d from the safety condition for torsion. Calculate the total angle of twist. Data: M, k, a, G, d.

Select the value of moment M so that the total angle of twist of the rod is equal to zero. Given: M, a.