The motor shown in the figure produces a torque of 225 N·m in shaft (1).  If the shear stress in shaft (1) must be limited to 56 MPa, determine the minimum acceptable diameter that may be used.  Determine the magnitude of the internal torque in shaft (1). Assume that shaft (1) will have a solid circular cross section.

The torsional assembly shown in the figure consists of a solid 60-mm diameter aluminum [G = 28 GPa] segment (2) and two bronze [G = 45 GPa] tube segments (1) and (3), which have an outside diameter of 75 mm and a wall thickness of 5 mm. If concentrated torques of TB = 9 kN-m and TC = 9 kN-m are applied in the directions shown, determine the following: 1. Calculate the polar moment of inertia of the bronze tube in mm^4. 2. Calculate the polar moment of inertia of the aluminum tube in mm^4. 3. Calculate the internal torque in the aluminum segment in kN.m 4. Calculate the internal torque in the bronze segment in kN.m 5. Calculate the maximum shear stress in bronze tube segments in MPa. 6. Calculate the maximum shear stress in aluminum tube segment in MPa. 7. Calculate the absolute value of the angle of twist of bronze tube in radian. 8. Calculate the absolute value of the angle of twist of aluminum tube in radian.   Kindly answer all questions with complete solution please

For the shaft shown, a. Determine the maximum stress on the shaft and the maximum angle of twist of end D relative to end A. b. If the stress in every section must not exceed 25 MPa, what should be the uniform diameter of the shaft? dAB = 100mm, dbc = 80mm, dcd = 50mm G for the shaft is 80GPa. Consider clockwise torques as negative.

5. A 1 cm² rod L is suspended vertically as shown in the figure. The unit weight of the material is y. Determine the normal stress in this rod using differential equations of equilibrium. L X у