L10 - Goal: Find * * * y A y A = How to find moment of...

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Exam I • Friday (3/5) • Covers chapters 1-3 • 1 crib sheet – double sided – no worked-out problems • 4 problems (100 points) • Bring a calculator (no cell phone calculator allowed)
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ρ : radial distance from neutral axis to C y: radial distance from neutral axis c: radial distance from neutral axis to the surface Bending
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M: moment (couple) y: distance from the neutral surface I: moment of inertia of the cross section I My x ± = σ Elastic Fexture formula c I S = S: elastic section modulus S M I Mc m = =
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How to find NEUTRAL AXIS ? ?? use the frst moment : = = A ydA Q 0 Y is the distance from the neutral axis.
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Unformatted text preview: Goal: Find * * * y A y A = How to find moment of inertia ? 2 nd moment: moment of inertia, I 2 x A I y dA = X y 2 y A I x dA = X 3 1 12 x I bh = b h X y 2 ' x x I I Ad = + Moment of inertia w.r.t. local centroidal axis X Distance from local centroidal axis to global centroidal axis Local area 20 60 20 40 20 A1 A2 x y d Ad 2 A1 53333.33 24 1600*24 2 975e3 A2 720000 16 2400*16 2 1334e3 total 2.31e6 ' x I x I 3 ' 1 12 x I bh = 46 2 ' x x I I Ad = + 24 16 Problems 4.1, 4.10, 4.12 44.25mm...
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This note was uploaded on 12/14/2010 for the course ENGR 2530 taught by Professor Lindaschadlerfeist during the Fall '08 term at Rensselaer Polytechnic Institute.

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L10 - Goal: Find * * * y A y A = How to find moment of...

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