A20 ft, pin-pin column is comprised of a w16x100 section made of a992 steel. what load will it take to make the column fail?

above 924.24 kips column will fail

Explanation:

given data

length L = 20 ft

section = W16 × 100

steel = A992

to find out

at what load column will fail

solution

we will calculate here ρ critical

so here using table for W16 x 100

Ixx = 1490

Iyy = 186

so

ρ critical = π×E×I(min) ÷ ( KL)²   ..................1

here we know E = 2.9 × and K = 1 for pin column

so from equation 1

ρ critical = π×2.9 × ×186 ÷ ( 20×12)²

ρ critical = 924.24 kips

so above 924.24 kips column will fail