고체역학 (Gere) — Stresses in Beams (Basic Topics): Problem 5.8-7

5.8-7 A steel beam of length \( L = 400 \text{ mm} \) and cross-sectional dimensions \( b = 12 \text{ mm} \) and \( h = 50 \text{ mm} \) (see figure) supports a uniform load of intensity \( q = 45 \text{ kN/m} \), which includes the weight of the beam. Calculate the shear stresses in the beam (at the cross section of maximum shear force) at points located \( 6.25 \text{ mm} \), \( 12.5 \text{ mm} \), \( 18.75 \text{ mm} \), and \( 25 \text{ mm} \) from the top surface of the beam. From these calculations, plot a graph showing the distribution of shear stresses from top to bottom of the beam.