Problem: A nonprestressed one-way solid slab has an applicable span $L=4.5\text{ m}$ and is simply supported. Using the lesson's normal-weight-concrete screening rule with $f_y=420\text{ MPa}$, determine the prescriptive thickness that permits omission of a separate detailed deflection calculation.

Problem: A $6.0\text{ m}\times2.5\text{ m}$ slab panel is supported by beams on all four sides. Classify its principal slab action using the lesson's aspect-ratio screening rule.

Problem: Design a representative $1\text{-m}$ strip of a simply supported one-way slab spanning $4.0\text{ m}$. The live load is $4.0\text{ kPa}$ and superimposed dead load is $2.0\text{ kPa}$. Use $f'_c=28\text{ MPa}$, $f_y=420\text{ MPa}$, normal-weight concrete at $24\text{ kN/m}^3$, $20\text{ mm}$ clear cover, and trial $10\text{ mm}$ bars. Use the lesson's prescriptive thickness route rather than an independent deflection calculation.

Problem: A qualifying interior panel is being checked for DDM in one direction. The factored uniform load is $w_u=12\text{ kPa}$, the transverse panel dimension is $l_2=5.0\text{ m}$, and the applicable clear span is $l_n=5.5\text{ m}$. Calculate the total static moment $M_0$ before any prescribed positive-negative or strip distribution.

Problem: An interior square column is $400\text{ mm}\times400\text{ mm}$ and the slab effective depth at the connection is $d=150\text{ mm}$. Determine the simplified critical perimeter $b_o$ located $d/2$ from the column faces.

Problem: A flat-plate floor has three continuous spans in each direction. Panels are $6.0\text{ m}\times5.0\text{ m}$, successive spans are equal, columns are on the panel centerlines, loading is gravity-only and uniform, dead load is $4.5\text{ kPa}$, and live load is $3.0\text{ kPa}$. Determine whether the lesson's listed DDM screening conditions are satisfied.

Problem: A two-way floor has two continuous spans in one direction, a large irregular atrium opening beside a column line, significant nonuniform equipment loads, and the slab participates in the lateral-force-resisting system. Should DDM or a basic gravity-only EFM idealization be treated as sufficient by default?

Problem: A nominally regular flat plate has only two continuous spans in the east-west direction, four spans north-south, uniform gravity loading, and otherwise regular geometry. Can DDM be used by simply applying the usual $M_0$ coefficients?

Problem: An interior $400\times400\ \text{mm}$ column supports a slab with $d=170\ \text{mm}$ and $f'_c=28\ \text{MPa}$. The factored column reaction is $650\ \text{kN}$ and factored slab load is $12\ \text{kPa}$. Use the lesson's no-shear-reinforcement ACI 318-14 teaching equations.

Problem: Keep the $400\times400\ \text{mm}$ column, $d=170\ \text{mm}$, $f'_c=28\ \text{MPa}$, $650\ \text{kN}$ reaction, and $12\ \text{kPa}$ slab load from the preceding example. Compare the lesson's truncated edge and corner critical perimeters.

Problem: For the interior-column case of Example 9, an opening is close enough that the governing geometric rule makes 20% of the original critical perimeter ineffective. Show the effect without pretending the opening area itself is the perimeter reduction.

Problem: A qualifying interior flat-plate panel has $M_0=226.9\ \text{kN}\cdot\text{m}$. For the beamless interior teaching distribution, lay out the design moments before selecting reinforcement.