Analyze a continuous beam ABC. Span AB is $6\text{ m}$ long with a point load of $30\text{ kN}$ at midspan. Span BC is $4\text{ m}$ long with no load. The beam is fixed at A, has a roller at B, and a roller at C. Constant $EI$.

A continuous beam has two spans: AB ($L_1 = 4\text{ m}$) and BC ($L_2 = 6\text{ m}$). The beam is fixed at A and C, and continuous over a roller support at B. Both spans have the same $EI$. Span AB carries a uniform load of $12\text{ kN/m}$. Span BC carries a uniform load of $8\text{ kN/m}$. Determine the internal moments at the supports using the Moment Distribution Method.

Determine the kinematic indeterminacy (degrees of freedom, DOF) for a single-story, single-bay portal frame. The frame has two columns fixed at their bases and a rigid horizontal beam connecting them. Axial deformations of all members are assumed to be zero (members are axially rigid).

Analyze a portal frame with sidesway using the Slope-Deflection Method. The frame consists of two columns AB and CD (height $h=4\text{ m}$) and a beam BC (length $L=5\text{ m}$). Supports A and D are fixed. A horizontal point load $P = 50\text{ kN}$ is applied at Joint B directed to the right. $EI$ is constant for all members. Set up the basic slope-deflection equations.