Average shear stress in the glue joint between a spliced rod?

[kal854]

Problem statement:
Two 3/4-in.-diameter nylon rods are spliced together by gluing a 2-in. section of plastic pipe over the rod ends, as shown in the figure. If a tensile force of P = 500 lb is applied to the spliced nylon rod, what is the average shear stress in the glue going between the pipe and rods?

Figure:

Obviously, {average shear stress} = {force} / {area}. But I am very confused when you take into account this splicing! Thank you in advance!

 

[SteamKing]

Assume there is no glue between the ends of the nylon rods, i.e., all of the glue is between the surface of the rod ends and the sleeve.

 

[kal854]

Assume there is no glue between the ends of the nylon rods, i.e., all of the glue is between the surface of the rod ends and the sleeve.

How does that affect the problem? Is it as simple as {shear stress} = 500 lb / (pi/4 * (3/4)^2) ?

 

[SteamKing]

No, the glue doesn't cover the cross section ends of the rods, it covers the inner surface of the sleeve and bonds it to the 1" ends of the nylon rods.

 

[kal854]

No, the glue doesn't cover the cross section ends of the rods, it covers the inner surface of the sleeve and bonds it to the 1" ends of the nylon rods.

Ohh, so use the area that it covers to calculate the shear stress? And P for the force?

Thank you very much by the way!