A beam of length $L$ is fixed at both ends ($A$ and $B$). It carries a uniform load $w$ over its entire length. Find the end moments $M_{AB}$ and $M_{BA}$ using the Slope-Deflection equations. Constant $EI$.

A beam $A-B$ is fixed at $A$ and supported by a roller at $B$. Length is $L$. A point load $P$ is applied at midspan ($L/2$). Find the moments and the rotation at $B$.

A portal frame with pinned bases and a rigid upper beam is subjected to a lateral load $H$ at the roof level. Columns have height $h$ and inertia $I_c$. Beam has length $L$ and inertia $I_b$. Set up the required equations.

A beam is fixed at $A$, supported by a roller at $B$, and fixed at $C$. Span $AB = 4 \text{ m}$, span $BC = 6 \text{ m}$. Span $AB$ carries a uniform load of $12 \text{ kN/m}$. Span $BC$ carries a point load of $30 \text{ kN}$ at midspan. Constant $EI$. Determine moments using Moment Distribution.

Same beam as Example 1, but support $C$ is now a pin (roller) instead of fixed.

A portal frame is braced such that it cannot sway laterally. Columns $AB$ and $CD$ are $4 \text{ m}$ high. Beam $BC$ is $5 \text{ m}$ long. A downward point load of $50 \text{ kN}$ is applied $2 \text{ m}$ from joint $B$ on beam $BC$. All bases are fixed. All members have same $EI$.