7: Statically Indeterminate Beams and Plane Frames
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7.10: Suggested Problems
Problem 7.10-1
Determine the reactions and draw the shear force and bending moment diagrams for the following beam structure. Choose the vertical force of the right reaction as the redundant.
Problem 7.10-1
Partial Solution (svg, one page)_
Problem 7.10-2
Determine the reactions and draw the shear force and bending moment diagrams for the following beam structure. Choose the moment in the left support as the redundant.
Problem 7.10-2
Full Solution Problem 7.10-2 (pdf, multiple pages)_
Problem 7.10-3
Determine the reactions and draw the shear force and bending moment diagrams for the following beam structure. Choose the vertical force in the left support as the redundant.
Problem 7.10-3
Partial Solution Problem 7.10-3 (pdf, single page)_
Problem 7.10-4
Determine the center reaction (i.e., the force in the spring) for the following structure. Verify your solution for $k=0$ and $k=\infty$.
Problem 7.10-4
Problem 7.10-5
Draw the shear force and bending moment diagrams for the following frame structure.
Problem 7.10-5
Problem 7.10-6
Draw the shear force and bending moment diagrams for the following frame structure.
Problem 7.10-6
Problem 7.10-7
The following frame structure is subjected to a settlement of 10mm downward of the right support. Draw the shear force and bending moments resulting from this support movement.
Problem 7.10-7
Problem 7.10-8
The following frame undergoes a temperature change of $+50^\circ C$. Determine the shears, moments, and support forces resulting from this.
Problem 7.10-8