A stepped solid shaft ABC is fixed at points A and C and is subjected to two external torques equal to To and 2To, with the senses and locations shown in Figure 2. The lengths of each section and the corresponding diameters are given in the figure, and it is known that the shear modulus is constant along the length of the shaft. A d₁=1 in 10 in To 10 in B d₂=1.45 in 10 in Figure 2: Stepped solid shaft 2To с TI 10 in If To= 10 kip.in, what is the absolute angle of twist at a location 15 in. from A? Provide your answer in degrees. Take G = 6.5 x 106 psi.

= 1.3-18 A stepped shaft ABC consisting of two solid，circular segments is subjected to uniformly distrib uted torque i，acting over segment 1 and concentrated torqueT₂applied at C，as shown in the figure。Seg ment 1 of the shaft has a diameter ofd₁= 57 mm and length ofL₁= 0.75 m; segment 2 has a diameterd₂= 44 mm and lengthL₂= 0.5 m。Torque intensity1₁3100 N m / m andT₂= 1100 N·m。（a）Find reaction torque T at support A.（b）Find the internal torque T（x）at two locations：

A steel stepped shaft ABCD fixed at A is subjected to three torques at points B, C and D, with magnitudes T₁ = 40 kip-in, T₂ = 50 kip-in and Ts= 30 kip-in and directions as shown in Figure 1.1. The segments AB and BC are solid with diameters dx = 3 in and dec = 2 in respectively, while segment CD is hollow with an outer diameter dan 1.5 in and a wall thickness of 0.25 in. The shear modulus of elasticity is equal to G=11.6x10³ ksl. T₁ T₂ 4 = 20 in A B L₂ = 20 in Figure 1.1 a) Draw the torsion moment diagram for the shaft and calculate how long should segment CD be so that the angle of twist between points B and D is equal to zero. T₁ 4₂-25 in b) If Ts is dropped, a fixed support is added at point D (as shown in Figure 1.2) and the length of segment CD is equal to 15 in, find the support reactions at points A and D and the maximum shear stress developed in segment BC. The magnitudes of the torques at points B and Care the same as in part a). B C L₂= 25 in T₂ * Figure 1.2 Hollow C Hollow…

I really need help with this! Please answer it using the Maximum shear stress theory, and also be very clear with your explanation. Thank you!