The simply supported beam is loaded as shown below The point

The simply supported beam is loaded as shown below. The point of interest represents the joint of the web and flange, just to the left of the roller support. Compare the principal stress of the beam at that point of interest with the overall maximum bending stress of the beam.

Solution

let us assume stress is uniform across the width and the presence of shear stress does not afftect the distribution of bending stress.

let

s be the value of complementary shear stress and hence the transverse shear stress at a distance Y0 from neutral axis.

z be the width of cross section at y0

A be area of cross section

y bar be the distance of centroid of A

Szdelta X = integral of delta F *delta A