Point A is fixed and C is a roller with an internal hinge at B. Assume EI to be constant. Note: You can solve one redundant reaction by using Conjugate beam method or area moment method knowing the facts that the slope and deflection at A are both zero, and deflection at C is zero. 1. Determine the slope at C. 2. Determine the slope at D. 3. Determine the displacement at D

For the beam shown, obtain: A). Applying the double integration method, the rotation in the left support (A), and the deflection in (C). B). Applying the moment of area method, the rotation in (D), and the maximum deflection between supports A and B. C). Applying the conjugate beam method, the rotation in (B), and the deflection in (D). Use the following Values: a = 1.75 m, q = 2.25 kN/m. E = 200 Gpa, |= 200 x10^6 mm^4 Note: Please provide the deflection results in mm and rotation in degrees. 90² qa A B D C а

QUESTION 6 A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 80 mm, h = 170 mm). P = 4.3 kN 3 m -2 m- C B L-5m Calculate the reactions of the beam. Assume that E = 190 GPa. (Solve by the method of superposition. The beam has constant flexural rigidity EI. ASsume that the +x-axis is to the right and the +y-axis is up along the page, with the origin at A. Use the statics sign convention. Assume the positive direction for moments is counterclockwise. Enter your forces in kN and your moments in kN m.) R. = kN Ra = kN MA = kN- m Ma = kN - m Calculate the displacement at point C. (Enter your answer in mm. Use the statics sign convention.) mm