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(Solved): The gantry in following figure is made of steel (E=200 GPa). The chord sections are: 1-2, 2-4 a ...



The gantry in following figure is made of steel (E=200 GPa).

The chord sections are:

1-2, 2-4 and 4-6: W250x73  and Ix= 113x106 mm^4
2-3 and 4-6: W310x97 and Ix = 222x106 mm^4


Analyze the gantry by hand, using the displacement matrix method.

You can, if you wish, do a check with the Advanced Design America software, but be aware that the software considers the axial deformations of the chords and that the results will be slightly different.
a) Build the global stiffness matrix of the frame considering only the rotations due to bending.
b) Calculate the unknown rotations with the displacement matrix method.
c) Calculate the moments at the ends of the five (5) chords as well as the forces
associated edges.
d) Complete the calculation of the reactions from the equilibrium of the global DCL.
e) Draw the shear and bending diagrams of the entire frame.

¡15 kN
1
2
3
10 KN
6 kN
st
4
5
1 m
8 kN/m
1 m
6.

¡15 kN 1 2 3 10 KN 6 kN st 4 5 1 m 8 kN/m 1 m 6.


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