Calculating Stresses due to Bending and Shear Stresses.

[sgvaibhav]

Hi.

I am solving some questions on transformations of stress and strain.
I am getting stuck in one part of the question in all the problems.

I am having difficulties to determine σ_x, σ_y, τ_xy at a certain point in the structure.

Equations
σ = P/A + Mc/I
τ = Tc/J + VQ/It
Some components, or the entire stress can be zero depending on the question.

I will post one of the example questions where i am facing difficulty.

Question) [Picture attached] Several forces are applied to the pipe assembly shown. Knowing that the inner and outer diameters of the pipe are equal to 38 mm and 42 mm, respectively, determine (a) the principal planes and the principal stresses at point H located at the top of the outside surface of the pipe, (b) the maximum shearing stress at the same point.

My Difficulty - I know how to do the most of the question EXCEPT - finding σ_x, σ_y, τ_xy at a point H and/or point K.

Working- [ I think it should be correct]

Fx=0
Fy=0
Fz=0

Mx=T=-200x200mm = 40N.m
My=-200x300mm = 60N.m
Mz=48N.m

Next step find σ_x, σ_y and τ_xy at point H in this case.

After finding the stresses, i can solve the rest of the question.
Please share resources, or links to the concept of finding stresses if you are short of time.

 

[nvn]

sgvaibhav: Your Fz and My currently look incorrect. Try again. Also, use your relevant equations to make an attempt to compute one or more of the stresses. There is no point K.

By the way, always leave a space between a numeric value and its following unit symbol. E.g., 40 N*m, not 40N*m.