Module 1: Introduction to Structural Analysis and Loads - Examples

The problems progress from load identification and tributary geometry to load-path reasoning and combined structural demand. Code factors are intentionally supplied by each problem when needed; do not infer professional load combinations from these examples alone.

Example 1: Classifying Structural Actions

A floor system carries the self-weight of the slab, movable office occupants, a permanently anchored mechanical unit, and earthquake inertia. Classify each action.

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Example 2: Interior Column Tributary Area

Columns are spaced 6.0 m6.0\text{ m} by 8.0 m8.0\text{ m} in a regular floor grid. Determine the tributary area of a typical interior column.

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Example 3: Edge Column Tributary Area

Use the same 6.0 m6.0\text{ m} by 8.0 m8.0\text{ m} grid. The slab terminates at the centerline of an exterior column along the 6.0 m6.0\text{ m} direction. Determine its tributary area.

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Example 4: Area Load Converted to Beam Line Load

A one-way floor delivers a uniform service area load of q=5.0 kPaq=5.0\text{ kPa} to an interior beam with tributary width bt=3.5 mb_t=3.5\text{ m}. Determine the idealized line load.

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Example 5: Column Load from a Tributary Area

An interior column has tributary area 48.0 m248.0\text{ m}^2. The floor load assigned to the column is 6.2 kPa6.2\text{ kPa}. Determine the floor contribution to the column axial load.

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Example 6: Load-Path Diagnosis

A roof deck is shown supported by joists, but the analytical model applies the full roof gravity load directly to the columns and leaves the joists and girders unloaded. Identify the modeling problem.

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Example 7: Supplied Strength-Level Load Combination

For an educational combination supplied as U=1.2D+1.6LU=1.2D+1.6L, let the analysis effects be D=120 kND=120\text{ kN} and L=80 kNL=80\text{ kN}. Determine UU.

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Example 8: Imposed Settlement in Determinate and Indeterminate Systems

Compare a simply supported beam with a continuous two-span beam when one support settles slightly and no member yields.

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