The discussion centers on the variation of shear stress at a rectangular cross-section in beams. It is established that vertical shear stress distribution is parabolic along the height, while horizontal shear stress is linear across the flange. The shear stress formula is an approximation and is not suitable for calculating stress at regions with sudden changes, such as flange-web sections, due to stress concentrations. Understanding these concepts requires knowledge of partial differential equations and the Theory of Elasticity.
PREREQUISITESEngineering students, structural engineers, and anyone involved in analyzing shear stress in beam design and structural integrity.
fonseh you are getting way too deep on this this is grad school level stuff. Stick to the basics. Vert shear stress distribution is parabolic along the height and horiz shear stress is linear across the flange. You may assume that it is constant across the thickness of the web or flange or rectangle,fonseh said:
ok , that's the explanation for figure 2 in post # 1 , and I understand it . Can you explain based on figure 1? what is it about ? I don't really understand itPhanthomJay said:
The shear stress formula is an approximation which is good enough for most applications. If you want to learn grad school topics at this stage, , like stress concentrations at discontinuities or non constant shear stress across a width, then first learn about partial differential equations and then google on Theory of Elasticity and then I wish you luck.fonseh said:
do you mean the notes in photo 1 is another way we can find the shear stress which is at grad school stage ?PhanthomJay said:
Yes, but it is quite complex to get an exact solution and you should not dwell on it. I was ready to quit engineering when I took elasticity theory in grad school land I've long forgotten it except to know that sttess concentrations occur at corners and edges and holes . Forget about it!fonseh said:
Yes, that is the plane, but the plane is within the beam at a cut cross section. The vertical (and longitudinal) shear stress is maximum at the neutral axis and can be assumed constant across the width of the section, although in actuality is higher at the edges of the neutral axis.fonseh said:
thanks , i am much clearer on this concept now !PhanthomJay said:
