Need to find 2nd moment of area

[clot67]

Hi all, i m new here, been given a task to find bending stress σ when force F is applied, the figure can be model as a cantilever, the support is on the left.,but i don't know how to find 2nd moment of area (I) for the figure below, pls help
thanks in advance.

Homework Statement

Homework Equations

σ=(M(T/2))/I

The Attempt at a Solution

 

[pongo38]

First, you need to give us a clue as to how far you can get. Second, the figure is not totally clear. On the top left figure, which is presumably a plan, where exactly is F applied? Is it a point load or a knife edge load along two edges? Thirdly, can you identify the cross-section whose second moment of area you want? Finally, what definition do you know for I?

 

[clot67]

First, you need to give us a clue as to how far you can get. Second, the figure is not totally clear. On the top left figure, which is presumably a plan, where exactly is F applied? Is it a point load or a knife edge load along two edges? Thirdly, can you identify the cross-section whose second moment of area you want? Finally, what definition do you know for I?

i m not sure the load is a point load or knife edge. i assume it should be knife edge. i forgot which cross-section area i should be finding for. i know i mus use (bh^3)/12 but i don't know what is my b and what is my h.

based on the formula σ=(M(T/2))/I, my h should be T and b should be A but the cross-section area is not uniform. i m confused now. pls point me in the right direction.. thanks

 

[pongo38]

It's not your fault that it is a badly worded question. If the support is at the left end, then it looks like A is the span. At the root of the cantilever, b is the C on the drawing. Further towards the load, it is C-D. You are correct that T is the h you are looking for. Perhaps you have to look at both sections to find which stress is maximum. It would also depend on whether F was shared between the two prongs of the fork. You are correct that I = use (bh^3)/12 where b is parallel to the neutral axis in the cross section and h perpendicular to the neutral plane...