Approximate Analysis of Statically Indeterminate Structures - Examples
The Portal Method Examples
Example 1: Single-Story, Two-Bay Frame (Portal Method)
A single-story frame has two bays. The left bay is wide, and the right bay is wide. The height is . A lateral wind load of is applied at the roof level (top left joint). Analyze the frame using the Portal Method to find the base shears and column moments.
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Example 2: Two-Story, Single-Bay Frame (Portal Method)
A two-story frame has one wide bay. The first story is high, the second is high. A lateral load of acts at the roof, and acts at the 2nd floor. Find the column shears in both stories.
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Example 3: Three-Story, Three-Bay Frame (Portal Method)
A three-story frame has three bays (all wide). All stories are high. Lateral loads are (roof), (3rd floor), and (2nd floor). Find the shears in the 1st-story columns.
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The Cantilever Method Examples
Example 1: Single-Story, Two-Bay Frame (Cantilever Method)
Let's use the exact same frame from Portal Method Example 1 (Left bay , right bay , height , roof load). Assuming all columns have the same cross-sectional area . Analyze it using the Cantilever Method.
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Example 2: Varying Column Areas
Use the same single-story, two-bay frame (, bays, high, load), but now the interior column is a W12x50 (Area = ), and the two exterior columns are W10x33 (Area = ). Find the column axial forces.
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