Calculate the support reaction moment at the clamped part of the cantilever beam and find the maximum bending stress. Note that the beam has a rectanglular cross-section with height of h and thickness b. The 2nd moment of area of this beam is Iz. F h b R

A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3.6 cm and internal diameter 2.4 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.5 cm from the neutral axis (i) The moment of inertia =  ii) The radius of curvature is  (iii) The maximum bending stress is iv) The bending stress at the point 0.5 cm from the neutral axis  is

4. The box beam is made of an elastic-perfectly plastic material for which the yield 250 MPa. Draw the residual stress distribution in the beam after the elastic-plastic moment, Mep = 548.5 kNm, is applied and then released. It can be shown that under the applied moment, the flanges (260 mm × 30 mm) yield, while the webs (2 x 200mm x 30mm) show linear elastic behavior. The moment of inertia and plastic section modulus of the section are given below: I = 247.48 x 106 mm4; Z, = 2394000 mm³ stress oy = y 30 mm 30 mm 200 mm 200 mm 30 mm 30 mm

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?