Question

 Learning Goal:

 To determine the maximum shear force that can be applied to two shafts of varying cross sections: a solid square shaft and a hollow square shaft.

 The two square cross sections shown below (Figure 1) are each subjected to a vertical shear force, V. The side length of each cross section is s = 6.75 in and the side length of the hollowed-out portion of the second cross section is r = 4.00 in. The maximum allowable shear stress in each member is Tmax =20.0 ksi.

 Part A - Moment of the area A' about the neutral axis of the solid square shaft

 One of the first steps in analyzing the geometry of the solid square shaft is to determine the moment of the area A' about the neutral axis of the entire cross section. This value is denoted by Q. What is Q?(Figure 2)

 Part B - Moment of the area A' about the neutral axis of the hollow square shaft

 One of the first steps in analyzing the geometry of the hollow square shaft is to determine the moment of the area A' about the neutral axis of the entire cross section. This value is denoted by Q. What is Q?(Figure 3)

 Part C - Maximum applicable shear force on the solid square shaft Determine the maximum applicable shear force on the solid square shaft, Vmax

 Part D - Maximum applicable shear force on the hollow square shaft Determine the maximum applicable shear force on the hollow square shaft, Vmar

Answer 1