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11.5: Analysis of Indeterminate Beams

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    The procedure for the analysis of indeterminate beams by the slope-deflection method is summarized below.

    Procedure for Analysis of Indeterminate Beams and Non-Sway Frames by the Slope-Deflection Method

    •Determine the fixed-end moments for the members of the beam.

    •Determine the rotations of the chord if there is any support settlement.

    •Write the slope-deflection equation for the members’ end moments in terms of unknown rotations.

    •Write the equilibrium equations at each joint that is free to rotate in terms of the end moments of members connected at that joint.

    •Solve the system of equations obtained simultaneously to determine the unknown joint rotations.

    •Substitute the computed joint rotations into the equations obtained in step 3 to determine the members’ end moments.

    •Draw a free-body diagram of the indeterminate beams indicating the end moments at the joint.

    •Draw the shearing force diagrams of the beam by considering the freebody diagram of each span of the beam in the case of a multi-span structure.

    This page titled 11.5: Analysis of Indeterminate Beams is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by René Alderliesten (TU Delft Open) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.