Structural Mechanics

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Q1. Write down the Shear Force Function V(x) and Bending Moment Function M(x) for
each section of the beam shown in Fig. 1. And then draw the shear and bending moment
diagrams for the beam.
Figure 1
Q2. Draw the shear force and bending moment diagrams for the beam shown in Fig. 2. Also
determine the shear force and bending moment in the beam as functions of x, where 1 m < x ? 5
m.
Figure 2
Q3. A beam supported on three reactions as shown in Fig. 3 consists of two segments joined at a
frictionless hinge at which the bending moment is zero. Draw shear force and bending moment
diagrams for the beam.
Figure 3
Q4. Construct the shear and moment diagrams for the frame in Fig. 4.
Figure 4
Q5. Draw the shear and moment diagrams for each member of the frame in Fig. 5.
Figure 5
Q6. Determine the reactions at supports A and C of the three-hinged circular arch shown in Fig.
6.
Figure 6
Q7. Determine the reactions and all bar forces of the three-hinged, trussed arch in Fig. 7.
Figure 7

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