A symmetric I-section (with width of each flange = 50 mm,

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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 N/mm²) in the web at its junction with the top flange.

1. 71.12 N/mm²
2. 61.12 N/mm²
3. 51.12 N/mm²
4. 21.12 N/mm²

Correct Option: A

I =	50 × 120³	-	40 × 100³
	12		12

= 3.866 × 10⁶ mm⁴

q =	SAy	=	100 × 10³ × 50 × 10 × 55
	Ib		3.866 × 10⁶ × 10

= 71.12 N/mm²