3) A thin plate as shown in figure below is fixed at one end and is subjected to a shear and axial force at the free end. The plate dimensions are: length = 500 mm, depth = 100 mm, width = 10 mm. The...

Extracted text: 3) A thin plate as shown in figure below is fixed at one end and is subjected to a shear and axial force at the free end. The plate dimensions are: length = 500 mm, depth = 100 mm, width = 10 mm. The shear force is equal to 30 kN and the axial force is equal to 90 kN. What is the minimum yield strength this material should have so that none of the three elements shown (marked as white squares) on this plate yield? Hints: Assume that the applied forces are applied on the entire cross-section of the free end. Ignore out of plane stresses as the plate is thin. The axial force can be assumed to be distributed uniformly in the cross-section. The shear force will give rise to direct shear and bending moments. Direct shear stress in the plate will vary parabolically along the depth of the plate with maximum shear stress at the neutral axis and zero shear stresses at the top and bottom edges. The flexural stresses will vary linearly through the depth of the plate. Flexural stress will be zero at the neutral axis and maximum stresses will take place at the extreme edges.