A thin steel beam AB used in conjunction with an electromagnet in a high-energy physics experiment is securely bolted to rigid supports (see figure). A magnetic field produced by coils C results in a force acting on the beam. The force is trapezoid dally distributed with maximum intensity q0 = 18 kN/m. The length of the beam between supports is L = 200 mm and the dimension c of the trapezoidal load is 50 mm. The beam has a rectangular cross section with width b = 60 mm and height h = 20 mm.
Determine the maximum bending stress σ max and the maximum deflection dmax for the beam. (Disregard any effects of axial deformations and consider only the effects of bending. Use E = 200 GPa.)

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