### SHEAR STRESS IN STEEL BEAM

1 Beam of L= 6 ft (1.83 m) span with P = 96 k point load

2 Composite wide-flange beam W10x49 with 8x½ inch stiffener plates

Shear force V = P/2 = 96/2 V = 48 k

Bending moment M = 48(3) M = 144 k’

**Wide-flange beam**

Since the beam would fail in bending, a composite beam is used.

**Composite beam**

Since the shear force remains unchanged, the web shear stress is still ok.

Shear flow q in welded plate connection

Since there are two welds, each resists half the total shear flow

Note: in this steel beam, bending is stress is more critical than shear stress; this is typical for steel beams, except very short ones.

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