Question

The hollow circular rod -20 in, in 1.5 in G - 12.000 ks) shown below is loaded with a distributed to t(x) = 0.5,2 lb - in L-24 in Answer the following questions (a) What are the boundary conditions for this problem? (b) Determine the angle of twist. (x) as a function of s along the length of the rod. (c) Determine the shour wrows in the rod as a function of x along the length of the red (d) If you added an applied toque at the free end, how would that change the problem? You do not need to resolve just explain it in a se rie

Answer 1

Solution is attached in the image posted below.

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J = 1.073 in4

O-Boundary condition for cantilever experiencing Torque is that Rotation at fixed and will be zao. K=0 i p=0 tCx- O.SK? lb-in in shear stress Relation for Torsion To I y T= Torque = polar Moment of incitia. y= Radial distance from Centroid As Holion Cylinder or cucular Rod is there J= T[Dou - Diu] 32 I {= o.sk? Y for max sheal for Rotation aa= Tak [ Rotation in small a J element] B 24 Jao - (0.5k² dk C) oc for Rotation Hencé equation 0 = 1o.sk? are CY

If we ada a Torque At end of beam we can assume using principle of Superposition that there are two case with varying torque and other one with Just a single Torque value at end This Torque will also produce Rotation and shear stress of its own which can be accitive o sutstractive depending on the Natwe of Torque