Shear Stress Lecture 4 ME EN 372 Andrew Ning aning@byu.edu - PDF document

Shear Stress Lecture 4 ME EN 372 Andrew Ning aning@byu.edu Outline Direct Shear Shear from Bending

Direct Shear τ = V A

Shear from Bending V M

V M V = dM dx M I t

Z c Q = ydA V = dM y dx c M y I t Z c V = dM Q = ydA y dx c M y τ I t τ ( y ) = V Q It

Example: rectangular section y h b � h 2 � τ = V 4 − y 2 2 I

Rectangle: τ max = 3 V 2 A Circle: τ max = 4 V 3 A I-beam example 8 2 5 3