# Shear stress on a bar with a bend

1. Apr 27, 2010

### triindiglo

1. The problem statement, all variables and given/known data

I have encountered this problem several times in class, but have never really understood it. There is a solid round bar that is fixed on one end, and that bends 90 degrees a ways down. At the free end of the bar there are forces applied in each Cartesian direction.
Like this: http://farm4.static.flickr.com/3448/4559398860_d6c6e250a0_o.jpg"

The question is to determine the shear stress $$\tau$$xy at point A (on the outer edge of the tube, radially parallel to the z-axis).

2. Relevant equations

Torsion - $$\tau$$ = Tc/J
Beam - $$\tau$$ = VQ/It

3. The attempt at a solution

I plug in my values in the above equations, and add them up depending on the shear direction, but I don't seem to get the right answer.

I'm hoping someone can help me with the general idea for this type of problem or point me to a website that explains it clearly.

Thanks!

Last edited by a moderator: Apr 25, 2017
2. Apr 27, 2010

### Mapes

What values are you using for the torque and the shear force?

3. Apr 27, 2010

### triindiglo

Here is what I tried:

Fx=500lbf
Fy=-800lbf
T=Fy14in
J=pi*r4/4

which gives torsion shear=-16900psi

V=Fy
Q=y'A'
y'=r
A'=pi*r2/2
t=r

with beam shear=-2844psi

total shear (xy)=torsion shear-beam shear

It's been a while since I was actually in Mechanics of Materials, so that might be way wrong though :).

4. Apr 27, 2010

### Mapes

It's been a while for me too, but isn't y' the distance to the centroid of the top or bottom half of the cross section?

5. Apr 27, 2010

### triindiglo

ah, yes you are right. Unfortunately I don't have the correct answer in front of me anymore so I can't check if that's all that is wrong.

Hopefully the other stuff looks right though?

6. Apr 27, 2010

### Mapes

Yep, the torsion part looks good.