Stress in a plate under tensile load

[jcabaret]

Hello everyone !

Homework Statement

In an isotropic aluminum plate (L = 200 mm, b = 50 mm, t = 1 mm), an additionally aluminum plate (l = 50mm, b = 50mm, tV = 0.5 mm) is glued in the center area. The plate is loaded in the y-direction with a normal force of Ny = 10000 N.

Calculate the stress "sigmayy" (in y direction) in the small plate, and give the result in funktion of z.

Big Aluminium plate : L=200 mm, b=50 mm, t=1 mm
Small Aluminium plate : l=50mm, b=50mm, tV=0,5 mm
Load : Ny = 10000 N
E = 70000 N=mm2
V (Poisson's ratio)= 0:34

The Attempt at a Solution

I don't know how to start.

I have three ideas, but I don't know if it is good or not.

- The first is to use the laminate theory. But as the material is the same for both plate, and the geometry is not the same for both plate, I don't know how to write it.

-The second is that the plate should be divided into 3 parts cut along the X axis :1 without the additional plate, 1 with the additional plate, and 1 without the additional plate. We can this way study the three parts, and then put together the result.

-The third is to consider a whole system with only one part of one material under load Ny, with the geometry presented in the übung. In view of the geometry, it might be very difficult to write.

What do you think ?

Thanks a lot !

Bye (and sorry for my english, I'm french..)

 

[Chestermiller]

It seems like there is information missing from this problem statement, like the applied load distribution and the method of support for the plate.

Chet