Stress components on cantilever beam loaded off symmetry

[habibi69]

Homework Statement

An element is taken from the wall end of the cantilever beam that is loaded as per the diagram. What are the stress components of the element, taken at x=0, y=h/2, z=0

Homework Equations

σ=My/I

The Attempt at a Solution

So from the shear moment diagram, the moment and shear at the wall end are found but then I'm not too sure what to do about the transverse load at an angle. I broke the load down into it's components but I'm not sure what to do about it.

 

[rock.freak667]

You will just need to find the bending stress using each of the components of P. So you will need to get I_xx and I_yy for the beam and find M_xx and M_yy for each of the components of P.

So

σ_x= (M_xxy)/I_xx


(xx denotes about the x-axis and yy about the y-axis)

 

[habibi69]

So is there no stress on the z face, $σ_{z}$ ?

 

[SteamKing]

So is there no stress on the z face, $σ_{z}$ ?

Think about what happens when you resolve P into its components.

 

[habibi69]

So then there would also be a shear stress caused by the load right? I'm getting confused now

Unless we assume that the beam is under pure bending, then there would be no shear

 

[SteamKing]

It might be better if you look at the beam loaded by each of the components of P individually. Draw the shear and bending moment diagrams without worrying too much about how everything acts simultaneously.