Determine the maximum and minimum shear stresses in the web of the beam of Problem 1.29 an...

Determine the maximum and minimum shear stresses in the web of the beam of Problem 1.29 and their locations. Assume that the distributions of shear stresses in the web, as in rectangular cross sections, are directed parallel to the shear force V and are uniformly distributed across the thickness (t = 6.5 mm) of the web. Hence, Eq. 1.9 can be used to calculate the shear stresses.

 (1.9)

Problem 1.29

An elastic T-beam is loaded and supported as shown in Figure P1.29a. The cross section of the beam is shown in Figure P1. 29b.

a. Detemnine the location ȳ of the neutral axis (the horizontal centroidal axis) of the cross section.

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b. Draw shear and moment diagrams for the beam.

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c. Determine the maximum tensile stress and the maximum compressive stress in the beam and their locations.

FIGURE P1.29 T-beam.