Learning Goal: To solve for internal torques in statically indeterminate shafts with an applied torsional load. When the number of reaction moments is greater than the number of equilibrium equations, the system is statically indeterminate. Solving for the reactions requires some additional equations. These additional equations come from considering continuity of the angle of twist and the relationships between displacement and loads. For a torsionally loaded shaft, the compatibility relationship for the deformation can usually be written by setting the total relative angle of TL twist between the ends of the member to a known value. When the shaft can be divided into segments for each of which is constant, JC TL the total relative twist can also be written as -ΣOnce the intermal torque of each segment is written in terms of the and reactions and applied torques, there is enough information to solve for the reactions. The solid circular shaft shown (Figure 1) has diameter 2.6 In and length L₁ = 11 ft. Let the positive axis point from A to B along the center of the shaft. A torsional load is applied a distance Le from the left and, as shown. The shear modulus is C = 8000 lest. Part A - Torque with a known twist If the load is at L₂ = 6.8 ft and the angle of twist at Cisc=1.5 deg, what is the magnitude of the applied torque? Express your answer with appropriate units to three significant figures. ▸ View Available Hints) Hero Pro for Pardo Aur Part A keyboard shortcuts for Part A helpfu T= 4.40 lb in fo Submit Previous Arawers Request Anawer * Incorrect; Try Again; 6 attempts remaining Part B-Reaction with a known torque If the applied torque is Tr=535 ft-lb, and the torsional load is at L₂-4.6 ft, then what is the magnitude of the reaction at A? Express your answer with appropriate units to three significant figures. ▸ View Available Hint(c) for Part redo for B Part B keyboard shortcuts for Part I help for Part Value Units Submit Part C-Maximum stress What is the maximum stress at any point along the length of the shaft from Part B? Express your anciver with appropriate units to three significant figures. ▸ View Available Hint(c) a |№ for Part redo forent Cre do for Part C keyboard shortcuts for Part Chapt T= Value Units Submit 27- A B