For the beam shown in Figure Q4, use moment distribution to: • Determine the magnitude and directions of the reactions • Calculate and draw the shear force diagram Calculate and draw the bending moment diagram

Question 4(a) The uniform bar shown in Figure 4 weighs 428 N. It is supported by a pin at A and a cable that runs around the pulley, D. It is subjected to a uniformly distributed load of 17.7 N/m and 12.5 Nm clockwise moment at E. Beam is in equilibrium position as shown in the Figure. Take a = 0.41 m and b = 2.5 m. Determine the tension in the cable and the reaction force at A, both in Newtons. w N/m 75° A ▼▼ ▼ ▼ 12.5 Nm B E 1 m 0.5 m m b Figure 4 Question 4(b) Find a truss from your neighborhood where you can take a photo safely. It does not have to be taken from the perfect angle and as long as we can see the complete truss that is good enough. One photo would be ideal but upto 3 photos can be used. Include these photos in your solutions for this question and based on these photos draw this 2D truss (exact dimensions are not required) with the supports too. Comment on the possible loads and their locations that may be applied to the truss. Discuss the assumptions that you have to…

For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=1.50 m, b=5.00 m, PA = 75kN, and PC = 90kN. Construct the shear-force and bending-moment diagrams. Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below.

Q6.1. For the two-dimensional truss structure shown in the figure, determine all the nodal deflections and nodal forces. The support reaction forces, Rix, Rly and R3x are also indicated on this figure next to the supports. Both bar members (1) and (2) are of length 2.0 m. Each member has a cross-sectional area of 80 mm² and a modulus of elasticity of 200 GPa, Ignore the possibility of buckling in the compression members. Ans.: u2x=0.625 mm, u2y=-2.061, u3y=-0.375 mm, Rix--5 kN, R₁-3 kN, R3x=3 kN. R R RIS (1) (3) Fig. 1 3 kN 2 kN X