# Question: learning goal to determine the maximum shear force that can...

###### Question details

**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* = 18.0 cm and the side length of
the hollowed-out portion of the second cross section is *r*
= 5.50 cm . The maximum allowable shear stress in each member is
*τ*max = 160 MPa .

**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, *V*max.

**Part D -** Maximum applicable shear force on the
hollow square shaft

Determine the maximum applicable shear force on the hollow
square shaft, *V*max.