고체역학 (Beer) — Shearing Stresses in Beams: Problem 6.27

6.25 through 6.28 A beam having the cross section shown is subjected to a vertical shear \(V\). Determine (a) the horizontal line along which the shearing stress is maximum, (b) the constant \(k\) in the following expression for the maximum shearing stress \[ \tau_{max} = k \frac{V}{A} \] where \(A\) is the cross-sectional area of the beam. Fig. P6.27: Shows a diamond-shaped (rhombic) cross-section with width \(b\) and total height \(2h\) (distance from neutral axis to top/bottom tip is \(h\)).