Determine the approximate vertical reactions, Basic Statistics

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1. Use the portal method to determine the approximate vertical reactions. Circles represent pinned connections.

943_portal method.png

2. A steel 2" x 3" rectangular bar is 9' long (E = 29,000ksi) and is used in a truss. Write the appropriate local stiffness matrix.

3. What is the degree of indeterminacy for the following structures?

913_indeterminacy.png

4. Use the three-moment equation to determine the reactions at A. Assume EI is constant for each span.

1807_three-moment equation.png

5. Determine the reactions for the beam using the method of consistent deformations. Symmetry may be assumed. You must show your work.

2199_symmatric.png

6. Determine the internal moments and reactions at each support using the moment distribution method.

781_distribution method..png

7. Determine the slope and displacement at C. Use the method of virtual work for the beam section.

Assume for all sections:

163_virtual work.png

E = 2100 ksi

I = 70 in4

A = 3 in2

 

 

 

 

 

 

 


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