Question

For a rectangular cross-section beam subjected to maximum shear force F, the shear stress at the top edge is

• A. zero
• B. maximum
• C. directly proportional to F
• D. inversely proportional to F

Answer 1

Answer:

A. zero

The shear stress distribution for a rectangular cross-section beam subjected to maximum shear force F, $\tau= \frac {FA \hat y}{ bI} = \frac {F}{2I} (\frac {d ^ 2}{4}- y ^ 2)$ . Shear stress is zero at the top and bottom fibre (y = d / 2) and maximum at neutral axis ( y = 0).