A simple beam ABCD has moment of inertia I near the supports and moment of inertia 2I in the middle region, as shown in the Figure (8.26). A uniform load of intensity q acts over the entire length of the beam. Determine the equations of the deflection curve for the left-hand half of the beam. Also, find the angle of rotation θ at the left- hand support and the deflection δ୫ୟ୶ at the midpoint.

Problem (8.6): A simple beam ABCD has moment of inertia I near the supports and moment of inertia 21 in the middle region, as shown in the Figure (8.26). A uniform load of intensity q acts over the entire length of the beam. Determine the equations of the deflection curve for the left-hand half of the beam. Also, find the angle of rotation 0, at the left- hand support and the dellection &max at the midpoint. B 21 Figure (8.26)