1.) Total Area AT2.) Centroid about the x-axis ȳ3.) Centroid about the y – axis ?̅4.) Moment of Inertia About the x-axis Ixnote: In locating the centroid of the entire section, Varignon's Theorem. Varignon's Theorem locates the centroid of a composite body.note: I hope you will use the formulas I will be giving. STEP 4:VARIGNON'S THEOREM6Right triangle (Origin of axes at centroid)1bhhQyr = 2@ynArỹr = >Anyn233|3DCB-nblhb³1363672QxtQxnAnXn%3D%3Dblbh(h² + b³) I,36nn12Quarter circle (Origin of axes at center of circle)πιA =44rx = yВ-BCp4I, = 1, =I.16(9n² – 64)r4I BB= 0.05488,481447Circle (Origin of axes at center)d = 2rnd²I, =nd4A = tr²4464CndªI BBB--B5ar45nd4Ixy=0 Ip =%3D%3Dху2324641|yRectangle (Origin of axes at centroid)A = bh xy =2hCbh³hb3bhI12I, = 0 Ip12(h² + b?)12xyII 40301010D=15153055FIG. EMS - PS6 00240

Dividing the given area into standard areas as shown below and showing the x and y axes

Answered: 40 30 10 10 D=15 15 30 55 40 FIG. EMS -…

Engineering

Civil Engineering

40 30 10 10 D=15 15 30 55 40 FIG. EMS - PS6 002

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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