Slope deflection method examples, Lecture notes of Engineering

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Slope-Deflection Method Examples

Example 1

Determine the moments at B and D , then draw the moment diagram. Assume A and C are pinned and B and D are fixed connected. EI is constant.

Determine the moments at B and C. Assume B and C are rollers and A and D are pinned. EI is constant.

Note that in the solution, for spans AB and CD the short-hand slope-deflection formula along with pinned-fixed FEMs are used.

Determine the moments at each joint and support of the battered-column frame. The joints are rigid. The supports are fixed connected. EI is constant.

The frame is made from pipe that is rigid connected. Determine the moments developed at each of the joints and supports under the given loading. EI is constant.

Determine the moments at A , B , C , and D. Draw the moment diagram. The members are fixed connected at the supports and joints. EI is constant.

Determine the moment at each joint of the gable frame. The roof load is transmitted to each of the purlins over simply supported sections of the roof decking. Assume the supports at A and E are pins. The joints are fixed connected. The center column, connected to the ridge point C , is incompressible. EI is constant. Note that in the solution, in calculating the MBA and M (^) DE, the short-hand/modified slope- deflection formula is used. The center column keeps ridge point C from displacing vertically.