In the notes, the author stated that the shear stress is constant over the bottom face of the segment ... why in figure 7-4 , we can see that the shear stress varies ?

shear formula 1 Which is correct ? The red circled part or the figure ?

shear formula 2


1 Answer 1


If you look at the 3D view of Figure 7.4c, it explains this quite clearly. The shear stress varies along the beam's height. Along its width (such as along the bottom face), the stress is indeed constant.

  • $\begingroup$ ok , can you explain why the shear stress is varied linearly over the part ? if the stress varies linearly over a section , then it's normal stress, right ? from my book , shear stress only varies parabolically over a section , where the shear stress is max at the neutral axis , 0 at the top and the bottom part $\endgroup$ Nov 26, 2016 at 11:18
  • $\begingroup$ In Eq. (7-2), $A'$ is not a constant - it depends on the value of $\bar y'$. You are almost correct - the shear varies parabolically for a section with constant width. For an arbitrary shaped section (e.g. a circular rod, or an I-beam) the variation is not parabolic, but it does satisfy Eq. (7-2). $\endgroup$
    – alephzero
    Nov 26, 2016 at 23:17

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.