Determine the midspan value of EI(shear stress) for the beam w/c carries a uniformly varying load over part of the span.

To determine the midspan value of EI (shear stress) for a beam carrying a uniformly varying load over part of the span, you will need to follow these steps:

1. Draw the shear force diagram: Start by drawing the shear force diagram for the given beam. This diagram shows how the shear force varies along the length of the beam.

2. Find the point of zero shear: Look at the shear force diagram to identify the point where the shear force is zero. This will be the point where the uniformly varying load ends or changes its intensity.

3. Calculate the area of the shear force diagram: Determine the area of the shear force diagram that lies between the point of zero shear and the midpoint of the beam span. You can find this by integrating the shear force diagram equation over the region of interest.

4. Find the moment of inertia (I) of the beam: Determine the moment of inertia of the beam about its neutral axis. This is a property of the beam's cross-sectional shape and can usually be found in standard reference tables or derived using engineering principles.

5. Determine the midspan value of EI (shear stress): Multiply the area of the shear force diagram calculated in step 3 by the moment of inertia (I) of the beam. The product of these two values will give you the midspan value of EI, which represents the shear stress at the midpoint of the beam span.

It is important to note that this procedure assumes a linearly varying load and neglects other factors such as the distribution of the load and any other loads or boundary conditions on the beam. For more accurate and precise results, you should consult structural engineering textbooks or software programs specializing in beam analysis.