A simply supported beam as shown in Fig. 1 is loaded by a single central load. If the cros...

A simply supported beam as shown in Fig. 1 is loaded by a single central load. If the cross section of the beam is to be of constant height but the width is allowed to change along the length of the beam, what would be the geometry that would give rise to a constant bending stress along the top fiber of the beam?

Figure 1