0.5 in.-3 in.- 0.5 in. 0.5 in. 3 in. 10 in. D -0.5 in.

Determine the variation of the radius r of the cantilevered beam that supports the uniform distributed load so that it has a constant maximum bending stress smax throughout its length.

4. Determine the force at roller B if a 15 mm gap resulted from a construction error. Compare the maximum moment in the beam to the case if no gap existed. The steel beam is a W250x32.7 16 kN/m B 15 mm 4 m 6 m

1. For the beam shown and given cross-section determine the maximum bending stress and the absolute maximum bending stress.  2. Determine the maximum shear stress in the beam

Calculate the internal shear force and the internal bending moment for the beam at every point x, and sketch the shear and moment diagrams. At what point in the beam (x=?) does the maximum normal stress occur?  Find the maximum normal stress, 0 , due to bending, At what point in the cross section (y=?) does the maximum normal tensile stress occur?? Find the magnitude of the maximum transverse shear stress on the cross section, T, due to bending at the point “A”. At what point in the cross section (y=?) does the maximum transverse shear stress occur?