43_ch 03 Mechanical Design budynas_SM_ch03

# 43_ch 03 Mechanical Design budynas_SM_ch03 - r = p o r 2 o...

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56 Solutions Manual • Instructor’s Solution Manual to Accompany Mechanical Engineering Design 3-51 As shown in Fig. 3-32, the maximum stresses occur at the inside ﬁber where r = r i . There- fore, from Eq. (3-50) σ t ,max = r 2 i p i r 2 o r 2 i ± 1 + r 2 o r 2 i ² = p i ± r 2 o + r 2 i r 2 o r 2 i ² Ans. σ r ,max = r 2 i p i r 2 o r 2 i ± 1 r 2 o r 2 i ² =− p i Ans. 3-52 If p i = 0, Eq. (3-49) becomes σ t = p o r 2 o r 2 i r 2 o p o / r 2 r 2 o r 2 i =− p o r 2 o r 2 o r 2 i ± 1 + r 2 i r 2 ² The maximum tangential stress occurs at r = r i .So σ t ,max =− 2 p o r 2 o r 2 o r 2 i Ans . For σ r , we have
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Unformatted text preview: r = p o r 2 o + r 2 i r 2 o p o / r 2 r 2 o r 2 i = p o r 2 o r 2 o r 2 i r 2 i r 2 1 So r = 0 at r = r i . Thus at r = r o r ,max = p o r 2 o r 2 o r 2 i r 2 i r 2 o r 2 o = p o Ans. 3-53 F = pA = r 2 av p 1 = 2 = F A wall = r 2 av p 2 r av t = pr av 2 t Ans. r av p t F...
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## This note was uploaded on 12/13/2011 for the course EML 3013 taught by Professor Shingley during the Fall '11 term at UNF.

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