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the beam ab is connected to beam bc using a pin at b. the beam bc is fixed to the wall at c. draw the internal shear force and bending moment diagrams for the beams ab and bc in one coordinate system. additionally, find the internal forces and moments at points d and e. hint: split the beam abc into two beams (ab and bc).

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Final answer:

To analyze the beams AB and BC, create separate free-body diagrams, considering the reactions at supports and the pin connection at B. Apply equilibrium conditions to find forces and moments, then draw shear force and bending moment diagrams accordingly.

Step-by-step explanation:

Shear Force and Bending Moment Diagrams

To draw the internal shear force and bending moment diagrams for the beams AB and BC, we should treat the beams as two separate systems due to the pin connection at B. Beam AB could be analyzed by considering the external loads applied to it, while beam BC's analysis would incorporate the reaction at the wall and the force/moment transferred through the pin at B.

The approach to finding the internal forces and moments at points D and E involves setting up free-body diagrams and applying the equilibrium conditions for forces and moments. This means summing up horizontal and vertical forces to zero, and ensuring the sum of moments around any point is also zero.

For the beam BC, fixed at point C, it is crucial to consider the reactions at the fixed support, which include both a vertical and horizontal reaction force, as well as a moment reaction due to the fixed nature of the support. With the free-body diagram, conditions of equilibrium can be used to solve for these reactions.

The internal shear force at any section of the beam is the sum of vertical forces on one side of the section, and the internal bending moment at that section is the sum of moments about the section.

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