uniform steel shaft has a diameter of 50 mm is fixed at ends A and B. The shear modulus of steel is 75 GPa. a) Write the equilibrium and compatibility equation(s) needed to solve the problem along with supporting sketches. b) Calculate the internal torques of each member in N-m. c) Using your solution from part (b), draw the internal torque diagram for the shaft using the rules we discussed in class.
1) A uniform steel shaft has a diameter of 50 mm is fixed at ends A and B. The shear modulus of steel is 75 GPa.
a) Write the equilibrium and compatibility equation(s) needed to solve the problem along with supporting sketches.
b) Calculate the internal torques of each member in N-m.
c) Using your solution from part (b), draw the internal torque diagram for the shaft using the rules we discussed in class.
d) Calculate the maximum shear stress in the system in MPa. You will have to look at each individual piece of the system, so clearly indicate which segment has the maximum stress.
[Ans. to check: τmax = 8.15 MPa]
e) Calculate the total rotation of the shaft at point C in radians.
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