Non-Symmetrical Beam Bending

Question 1

stress at point a (in the fourth quarter) on a non-symmetrical beam, with the load in the first quarter

Answer 1

σ = Mz y / Iz + My -z / Iy
*bending moment about an axis (M)
*distance from neutral axis (y / z)
*moment of inertia (I)

Question 2

the angle of the neutral axis to the horizontal axis (α), and the angle of the loading force and vertical axis (θ)(or vise versa)

Answer 2

tan α = Iz / Iy tan θ

*angle of the loading force and vertical axis (θ)
*angle of the neutral axis to the horizontal axis (α)
*moment of inertia (I)

Question 3

if Iy = Iz, or tanθ = 0 or infinity, what does that tell us

Answer 3

the neutral axis is not perpendicular to the load

Question 4

bending moment about a y or z axis

Answer 4

*My = M sinθ
*Mz = M cosθ