02-01ChapGere.0010

02-01ChapGere.0010 - 72 A-PDF Axially DEMO : Purchase...

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Problem 2.2-12 The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical forces P 1 5 400 kN and P 2 5 360 kN acting at points A and D , respectively (see figure). Bars BE and CF are made of steel ( E 5 200 GPa) and have cross-sectional areas A BE 5 11,100 mm 2 and A CF 5 9,280 mm 2 . The distances between various points on the bars are shown in the figure. Determine the vertical displacements d A and d D of points A and D , respectively. 72 CHAPTER 2 Axially Loaded Members A P 1 = 400 kN P 2 = 360 kN BC 1.5 m 1.5 m 2.4 m 0.6 m 2.1 m D F E Solution 2.2-12 Rigid beam supported by vertical bars A P 1 = 400 kN P 2 = 360 kN 1.5 m 1.5 m 2.4 m 0.6 m 2.1 m D F E A BE 5 11,100 mm 2 A CF 5 9,280 mm 2 E 5 200 GPa L BE 5 3.0 m L CF 5 2.4 m P 1 5 400 kN; P 2 5 360 kN F REE - BODY DIAGRAM OF BAR ABCD S HORTENING OF BAR BE S HORTENING OF BAR CF D ISPLACEMENT DIAGRAM 5 0.600 mm d CF 5 F CF
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