Question

A symmetric I-section (with width of each flange = 50 mm, thickness of each flange =10 mm, depth of web = 100 mm, and thickness of web = 10 mm) of steel is subjected to a shear force of 100 kN. Find the magnitude of the shear stress in $in(N/m{m}^2$) in the web at its junction with the top flange.

• A. 71.12

Answer 1

The correct option is A 71.12
$\tau$ (shear stress at junction of flange and web)

$=\frac{VA\overline{y}}{Ib}$

$\frac{100\times {10}^3\times (50\times 10)\times 55}{(\frac{50(120{)}^3}{12}-\frac{40(100{)}^3}{12})\times 10}$




$\tau =71.12N/m{m}^2$