A metal shaft ABCD with variable cross-section is subjected to three external torques (T1=28 kip- in, T2-8 kip-in, and T3=10 kip-in) as shown in the figure below. Each torque is acting at the locations marked with circular points along the shaft. Note that a 16-inch long segment of the shaft at the free end (right) has a 1-inch diameter bore. The dimensions (lengths and diameters) of the shaft are given in the figure. Assume deformation is linear elastic and take G=12×106 psi. D [3" 16"- X C T₁ 2" -32"- T₂ 1" diam. bore B -16"- A T3 the bar has a uniform diameter d along its full length, but external torques remain the ame and are applied at the sa locations. If the failure shear stress for the material is equal to Tfail = 10 ksi, and the factor of safety is equal to 2, determine the required (uniform) diameter d for the bar. Assume that the bar is solid for its entire length.

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The solid-circular member AC, having a diameter D and a shear modulus of 69 GPa, is subjected to the torques 2T and 3T at points A and B, respectively. If tlow = 35 MPa and (Pacallow =2°, determine the maximum permissible value of the torque T. Use the table given below and your student ID to find the values of L,, L,, and D. L1 L2 A 3T 2T Student L, D L, (m) ID (m) (mm) 1131731 0.6 78

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!

Homework help

A shaft made from acrylic is subjected to the three torques indicated below. The acrylic has a shear modulus of 1.7 GPa. Determine: a. The twist at the end D if the diameter if the shaft is 100 mm. b. The minimum shaft diameter if Tallow = 10 MPa 200 N•m A 800 N•m 300 mm B 400 N•m 600 mm C 600 mm

The shaft shown in the figure is machined from AISI 1040 CD steel. The shaft rotates at 1600 rpm and is supported in rolling bearings at A and B. The applied forces are F1 = 1600 lbf and F2 = 640 lbf. A steady torque of 1600 lbf·in is being transmitted through the shaft between the points of application of the forces.

A circular shaft of the dimensions shown in the following figure is subjected to three torques : T1 = 28 k-in, T2 = -8 k-in and T3 = 10 k-in. (a) What is the angle of twist of the right end due to the applied torque?  (b) Plot the angle of twist diagram along the shaft.  Let, G= 12×106 psi.

The bar in the attached picture has a thickness of 16mm and a total width of 48mm. The pin has an diameter of 11mm.....