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Requirements management class lectures_216295676-Class-Lectures-5-Beam-Column-Members

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BC. 1 COMBINED BENDING AND AXIAL FORCES The axial force could be tension or compression. When the axial load is in compression, the member is probably called beam-column. Guide lines are given in Ch.4 (P.16.1-3) in the manual. Combined force is more critical than tensile axial force. All members in frame are subjected to "combined forces" For column-beam: 1. load deflection plot is nonlinear 2. additional moment results from " P − δ effect" (second order effect) M = Primary Moment + P ⋅ δ , δ = P PL3 48EI P P δ δ Design Approach for Member Under Combined Loading (sec.H) Tow cases: Case A → axial force is small Case B → axial force is not small P Case A: ( Pu small) u < 0.2 φPn ⎡ M ux M uy ⎤ Pu +⎢ + ⎥ ≤ 1.0 a (H1-1b) 2φPn ⎢⎣φb M nx φb M ny ⎥⎦ P Case B: ( Pu not small) u ≥ 0.2 φPn Interaction equation → Interaction equation → M uy ⎤ Pu 8 ⎡ M ux + ⎢ + ⎥ ≤ 1.0 a (H1-1a) φPn 9 ⎢⎣φb M nx φb M ny ⎥⎦ φPn Eq.H1 - 1a Pu Eq.H1 - 1b 0.2φPn φb M n 0.9φb M n BC. 2 For Axial Tension ( Pu ⇒ tensile): = required tensile strength (factored) Pu = nominal tensile strength Pn M u = required flexural strength M n = nominal flexural strength x-x → axis of bending For compressive force ( Pu ⇒ comp.), the same interaction formula is applicable, put the value of M ux and M uy must take into account P − δ (second order effect) Second Order Effect for Beam-Column (Ch.C P.16.1-17) Code allows either to use exac ...
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