Q3a) Determine the reaction moments at the supports by using Moment-Distribution Method. Assume A and C are fixed, andB is a pin joint. E-200 GPa and 1-50x10' mm". 1000 N/m 4EI EI A B 1 m 1 m 1 m

Question 1: Figure 1 shows a flanged steel cantilever beam with riveted bracket subjected to a couple and two forces. Determine the reactions at point A. 2 kN Solution: A 1.5 m L--x 500 N-m Figure 1 0.5 m 70° 12 kN 10.15 m 10.15 m

a) Determine the tensile force T’ in the rope on the side connected to joint B: b) Determine the internal compressive normal force ƒBC in the tube BC: c) Determine the horizontal reaction force Rx and the vertical reaction force Ry in joint A: d) Determine the moment M of the center of bar AB: e) Determine the compressive stress σBC in the tube BC: f) Determine the critical load Pc for the tube BC: g) Which of the following statements about the tube BC is correct: A. The tube BC fails due to yielding B. The tube BC fails due to buckling C. The tube BC fails due to both yielding and buckling D. The tube BC is safe against both yielding and buckling h) Pin C has a diameter of 30 mm; calculate the shear stress τ of the pin C, when considering one cross-section for shear stress calculation:

Support A is a pin. Support B is a roller. Each support can support a maximum of 9kN. Determine which support will fail first and at what value of w does this occur. HINT, create relationships of w to the support reactions of B first then sub into Equilibrium to find Ra, and then compare to 9kn load. 3 A 4m B 2.50 ㅠ 3.5,