Final answer:
To draw the shear and moment diagram of the compound beam, analyze the forces and moments acting on the beam and plot them along the beam. The shear diagram shows the vertical reaction force at each point, while the moment diagram shows the moment at each point.
Step-by-step explanation:
To draw the shear and moment diagram for the compound beam, we need to analyze the forces and moments acting on the beam. Since the beam is fixed at point A, there will be a vertical reaction force at A and a moment due to the fixity. At point B, which is pin-connected, there will be a horizontal reaction force and a vertical reaction force. Finally, the roller support will provide a vertical reaction force.
To draw the shear diagram, we start from the left end of the beam and move towards the right. At point A, there will be a vertical reaction force equal to the sum of the weights of the beam and the mass sitting at the end of the beam. As we move to point B, the vertical reaction force changes due to the horizontal reaction force. Finally, at the roller support, the vertical reaction force changes again. The shear diagram will then be a plot of the vertical reaction force at each point along the beam.
To draw the moment diagram, we start from the left end of the beam and move towards the right. At point A, there will be a moment due to the fixity. As we move to point B, the moment changes due to the change in vertical reaction force. Finally, at the roller support, the moment changes again. The moment diagram will then be a plot of the moment at each point along the beam.