combined bending and shear stress on 16 mm dia bar

[moneytree]

I have a 16 mm dia bar which is under bending and shear due to a 5 mm gap in mating surfaces.

How do I calculate the maximum shear stress at 'a-b' (see attached sketch)

Many Thanks

MX_M623_U_20140812_132601_001.jpg

[Kelly_Bramble]

Simple answer:



where:

O_x = Normal shear in x directionO_y = Normal shear in x direction
T_xy = Shear stress perpendicular to X axis and in Y direction.

[Kelly_Bramble]

Simple deflection and stress see:

Structural Beam Bending Equations / Calculation Free and Guided on One End, Rigid one End With Single Load