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488_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

488_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 5.12-9 A cylindrical brick chimney of height H weighs w 825 lb/ft of height (see figure). The inner and outer diameters are d 1 3 ft and d 2 4 ft, respectively. The wind pressure against the side of the chimney is p = 10 lb/ft 2 of projected area. Determine the maximum height H if there is to be no tension in the brickwork 482 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.12-9 Brick Chimney p wind pressure q intensity of load pd 2 d 2 outer diameter d 1 inner diameter W total weight of chimney wH C ROSS SECTION A p 4 ( d 2
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Unformatted text preview: ( EQUAL TO ZERO ) S OLVE FOR H S UBSTITUTE NUMERICAL VALUES q ± 10 lb/ft 2 H max ± 32.2 ft ; w ± 825 lb/ft d 2 ± 4 ft d 1 ± 3 ft H ± w ( d 2 2 + d 1 2 ) 4 pd 2 2 ; pd 2 H 2 2 wH ± d 2 2 + d 1 2 8 d 2 s 1 ± ² N A + Md 2 2 I ± or M N ± 2 I Ad 2 N ± W ± wH M ± qH a H 2 b ± 1 2 pd 2 H 2 I A ± 1 16 ( d 2 2 + d 1 2 ) c ± d 2 2 I ± p 64 ( d 2 4 ² d 1 4 ) ± p 64 ( d 2 2 ² d 1 2 ) ( d 2 2 ² d 1 2 ) w d 1 d 2 p H w d 2 q H V N M 05Ch05.qxd 9/25/08 2:29 PM Page 482...
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