05-03ChapGere.0005

05-03ChapGere.0005 - support when (b) M AXIMUM STRESS ( AT...

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Solution 5.7-5 Tapered cantilever beam SECTION 5.7 Nonprismatic Beams 325 x A P B d B d A L F ROM E Q . (5-32), E XAMPLE 5-9 Eq. (1) F IND THE VALUE OF x THAT MAKES s 1 A MAXIMUM Let After simplification: Eq. (2) x L 5 d A 2( d B 2 d A ) 5 1 2 ¢ d B d A 2 1 d s 1 dx 5 0 Ê d A 2 2( d B 2 d A ) ¢ x L 5 0 d s 1 dx 5 N D 5 32 P B d A 2 2( d B 2 d A ) x L R p B d A 1 ( d B 2 d A ) ¢ x L ≤R 4 D 5 p 2 B d A 1 ( d B 2 d A ) x L R 6 N 5 32 p P B d A 1 ( d B 2 d A ) ¢ x L ≤R 2 B d A 2 2( d B 2 d A ) x L R 2 [32 Px ][ p ][3] B d A 1 ( d B 2 d A ) ¢ x L ≤R 2 B 1 L ( d B 2 d A ) R N 5 p B d A 1 ( d B 2 d A ) ¢ x L ≤R 3 [32 P ] s 1 5 u y Ê d s 1 dx 5 y ¢ du dx 2 u ¢ d y dx y 2 5 N D s 1 5 32 Px p B d A 1 ( d B 2 d A ) ¢ x L ≤R 3 (a) G RAPH OF x/L VERSUS d B /d A (E Q . 2) Maximum bending stress occurs at the
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Unformatted text preview: support when (b) M AXIMUM STRESS ( AT SUPPORT B ) Substitute x/L 5 1 into Eq. (1): s max 5 32 PL p d B 3 1 # d B d A # 1.5 2 2 1 1 1.5 2.5 3 d B d A Eq. (2) x L A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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