Problem 921 | Kern Area of a Wide Flange Section: W360 x 122

$0 = -\dfrac{P}{A} \pm \dfrac{M_x y}{I_x} \pm \dfrac{M_y x}{I_y}$

$0 = -\dfrac{P}{A} \pm \dfrac{(Pe_y)(d/2)}{I_x} \pm \dfrac{(Pe_x)(b_f/2)}{I_y}$

$0 = -\dfrac{1}{A} \pm \dfrac{e_y d}{2I_x} \pm \dfrac{e_x b_f}{2I_y}$

$\pm \dfrac{e_y d}{2I_x} \pm \dfrac{e_x b_f}{2I_y} = \dfrac{1}{A}$

$\pm \dfrac{e_y (363)}{2(365 \times 10^6)} \pm \dfrac{e_x (257)}{2(61.5 \times 10^6)} = \dfrac{1}{15,500}$
 

For x-intercept, set e_y = 0

For y-intercept, set e_x = 0