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Manhattan College ENGINEERING 409 ch11 Slender Columns

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Chapter 11 Slender Columns 1Alignment Chart 2 Braced columns k < 1Alignment Chart 3 Unbraced columns k > 1P- Effect 4P- Effect 5 Problem is Non-linearSlender Columns 6 Primary and ... secondary (first order and second order) effects P effect is secondary If the effect significantly reduces column capacity, the column is a “slender” column Exact and approximate methods for analyzing secondary effect ACI Code Section 10.10.5 moment magnifier, Sway and Non-sway Frames 7 Columns rarely exist in isolation Columns are normally a component of a frame Sway frame can experience sidesway (ACI Code Section 10.10.7) A non-sway frame does not experience sidesway (ACI Code Section 10.10.6)Sway and Non-sway Frames 8 Most frames allow some but not complete sidesway Sidesway can be prevented or limited by bracing, shear walls are attachment to other element In a particular frame some stories may experience sidesway and others may not Sidesway – ends of column move laterally with respect to one anotherSway and Non-sway Frames 9 ACI Section 10.10.5.1 – a frame is nonsway if the increase in column end moments due to second-order effects does not exceed 5% ACI Section 10.10.5.2 – stability index [Show More]

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