05-01ChapGere.0004

05-01ChapGere.0004 - s max in the strip. (b) Does the...

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288 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.4-6 Bar of rectangular cross section L 5 1.2 m h 5 100 mm d 5 3.6 mm Note that the deflection curve is nearly flat ( L / d 5 333) and u is a very small angle. d 5 r (1 2 cos u ) 5 r ¢ 1 2 cos L 2 r u 5 L / 2 r (radians) sin u 5 L / 2 r Substitute numerical values ( r 5 meters): Solve numerically: r 5 50.00 m N ORMAL STRAIN (Elongation on top; shortening on bottom) e 5 y r 5 h / 2 r 5 50 mm 50,000 mm 5 1000 3 10 2 6 0.0036 5 r ¢ 1 2 cos 0.6 r P h P a a d L 2 L 2 r r u u 0 Normal Stresses in Beams Problem 5.5-1 A thin strip of hard copper ( E 5 16,400 ksi) having length L 5 80 in. and thickness t 5 3/32 in. is bent into a circle and held with the ends just touching (see figure). (a) Calculate the maximum bending stress
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Unformatted text preview: s max in the strip. (b) Does the stress increase or decrease if the thickness of the strip is increased? Solution 5.5-1 Copper strip bent into a circle 3 32 t = — in. E 5 16,400 ksi L 5 80 in. t 5 3/32 in. (a) M AXIMUM BENDING STRESS From Eq. (5-7): s max 5 2 p E ( t / 2) L 5 p Et L s 5 Ey r 5 2 p Ey L L 5 2 p r 5 2 p r Ê r 5 L 2 p Substitute numerical values: (b) C HANGE IN STRESS If the thickness t is increased, the stress s max increases. s max 5 p (16,400 ksi)(3 / 32 in.) 80 in. 5 60.4 ksi A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Tech.

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