Answer :
Final answer:
The expected kinematics of the system can be drawn by considering the forces acting on the beam and the constraints provided by the pin and steel rods. The vertical displacement of point D is zero, as the rigid beam does not deform under the applied forces.
Explanation:
Kinematics of the System:
To draw the expected kinematics of the system, we need to consider the forces acting on the beam and the constraints provided by the pin and steel rods. The pin provides a rotational constraint, allowing the beam to rotate about it. The steel rods provide axial constraints, preventing the beam from moving in the vertical direction.
Based on the given information, we know that G = 6 and H = 5. These values represent the forces acting on the beam at points A and B, respectively. The force G acts vertically downwards at point A, while the force H acts vertically upwards at point B.
Using the principles of statics, we can determine the reactions at the pin and the steel rods. The vertical reaction at the pin will be equal to the sum of the forces G and H, as the beam is in equilibrium. The steel rods will exert equal and opposite forces to balance the vertical component of the reactions at the pin.
Once we have determined the reactions at the pin and the steel rods, we can draw the expected kinematics of the system. This will involve representing the beam as a straight line and indicating the forces acting on it, as well as the reactions at the pin and the steel rods.
Vertical Displacement of Point D:
To determine the vertical displacement of point D, we need to consider the deflection of the beam caused by the applied forces and the constraints provided by the pin and steel rods.
The vertical displacement of point D can be calculated using the principles of mechanics of materials. This involves analyzing the bending of the beam and determining the deflection at point D.
Since the beam is rigid, the vertical displacement of point D will be zero, as the beam does not deform under the applied forces.
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