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[1]
Using the symmetry technique, solve for the reactions and draw the shear and bending moment diagrams. Assume EI is constant.

10 pts.

[2]
Compute the reactions using symmetry and draw the shear and bending moment diagrams for the continuous beams; E and I are constant.

10 pts.

[3]
Compute the reactions using symmetry and draw the shear and bending moment diagrams for the frame; E and I are constant.

10 pts.

[4]
Solve for the reactions and the force in the members for truss using symmetry.

10 pts.

[5]
Draw the quantitative influence lines for both reactions as the load moves from A to B.

10 pts.

[6]
Draw the shear and moment influence lines for 1-1, 2-2, and 3-3.

10 pts.

[7]
Draw influence lines for both reactions, and for shear, just to the left of the 16 k load and for moment at 16k load. Determine the magnitude of each of these functions using the influence lines for the loads fixed in position shown.

10 pts.

[8]
Draw the force influence lines for a, b, and c.

10 pts.

[9]
Draw the force influence lines for L0U1, L1L2, and U1U2.

10 pts.

[10]
Draw the force influence lines for L0U1, U1L2, U3L4, and U5U6.

10 pts.

[11]
(a) Draw the influence line for the moment at point F in the girder. Assume the support at A is a pin and B is a roller. compute the maximum live moment at F in the girder if the floor slabs are subjected to a uniform distributed live load at 1.5 k/ft.
(b)Draw the influence line for the shear in the end panel CA if the girder. Compute the maximum live shear in the girder panel CA if the floor slabs are subjected to a uniform distribution of 1.5 k/ft.

10 pts.

[12]
Draw the influence lines for (a) the shear in panel DE of the girder, and (b) the moment at C.

10 pts.

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