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13.3 Columns with Various Types of Supports:

13.3 Columns with Various Types of Supports:. Fixed - Free. Euler’s Equation. P CR = critical or maximum axial load on the column just before it begins to buckle. E = modulus of elasticity for the material I = least moment of inertia of the column’s cross-section

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13.3 Columns with Various Types of Supports:

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  1. 13.3 Columns with Various Types of Supports: Fixed - Free

  2. Euler’s Equation PCR = critical or maximum axial load on the column just before it begins to buckle. E = modulus of elasticity for the material I = least moment of inertia of the column’s cross-section L = unsupported length of the column, whose ends are pinned K= effective length factor (i.e. 1 for pinned-pinned, 2 for fixed free)

  3. Column Types: Where Le = effective length = KL

  4. How would you model these columns???

  5. In terms of stress: where = effective slenderness ratio

  6. Examples:

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