Theory of Structures Overview - Examples & Applications

A simply supported roof beam has already been analyzed and the maximum factored bending moment is $180\text{ kN}\cdot\text{m}$. Explain what belongs to analysis and what belongs to design.

A steel beam is connected to a column by a simple shear connection intended to transfer vertical shear while allowing end rotation. Choose the first analytical idealization for the beam end.

A planar beam has upward reactions of $32\text{ kN}$ and $48\text{ kN}$ and downward applied loads totaling $80\text{ kN}$. Perform the simplest equilibrium check.

Two frame members meet at a rigid planar joint. One analysis result reports a joint rotation of $+0.004\text{ rad}$ for the beam end and $-0.003\text{ rad}$ for the connected column end at the same joint. Is the result compatible?

Load case A produces a midspan deflection of $6.0\text{ mm}$ downward and load case B produces $2.5\text{ mm}$ downward in the same linear-elastic beam model. Find the combined deflection.

A free rigid plate in the plane has three unknown reaction components in its support model, equal in number to the three planar equilibrium equations. All three reaction lines are parallel. Classify the model.

A symmetric simply supported beam carries a centered $100\text{ kN}$ point load. Software reports vertical reactions of $15\text{ kN}$ and $85\text{ kN}$. Evaluate the result without rerunning the model.

An architecturally modeled canopy uses a tension-only cable, but a linear frame analysis reports compression in that cable under one wind direction. Decide the appropriate next action.