02-05ChapGere.0002

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Problem 2.6-17 The normal stress on plane pq of a prismatic bar in tension (see figure) is found to be 7500 psi. On plane rs , which makes an angle b 5 30° with plane pq , the stress is found to be 2500 psi. Determine the maximum normal stress s max and maximum shear stress t max in the bar. Solution 2.6-17 Bar in tension SECTION 2.6 Stresses on Inclined Sections 135 q p r PP s b Eq. (2-29a): s u 5 s x cos 2 u b 5 30 8 P LANE pq : s 1 5 s x cos 2 u 1 s 1 5 7500 psi P LANE rs : s 2 5 s x cos 2 ( u 1 1 b ) s 2 5 2500 psi Equate s x from s 1 and s 2 : (Eq. 1) or (Eq. 2) cos 2 u 1 cos 2 ( u 1 1 b ) 5 s 1 s 2 Ê cos u 1 cos( u 1 1 b ) 5 B s 1 s 2 s x 5 s 1 cos 2
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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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