LOAD & RESISTANCE FACTOR DESIGN FOR SHEAR IN BUILDINGS

Based on the American Institute of Steel Construction (AISC) specifications for load-and-resistance factor design (LRFD) for buildings, the shear capacity V u , kip (kN = 4.448 X kip), of flexural members may be computed from the following:
V u = 0.54 F yu A w when h / t w £ a

V u = ( 0.54 F yu A w ) / (h / t w ) when a <> w £ 1.25a

V u = ( 23,760 k A w ) / h / t w )2 when h / t w £ 1.25a

where F yw = specified minimum yield stress of web, ksi (Mpa = 6.894 X ksi )

A w = web area, in 2 (mm 2 ) = dt w

a = 187 ( k/F&O yw ) ½

k = 5 if a/h exceeds 3.0 or 67,600 / ( h / t w ) 2 , or if stiffeners are not required

= 5 + 5/(a/h) 2 , otherwise

Stifferners are required when the shear exceeds V u . In unstiffened girders, h/t w may not exceed 260. In girders with stiffeners, maximum h/t w permitted is 2,000/( F yf ) ½ for a/h £ 1.5 or 14,000/( F yf (F yf + 16.5) ) ½ for a/h > 1.5, where F yf is the specified minimum yield stress of the flange.
For shear capacity with tension – field action, see the AISC specification for LRFD.

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