203_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

203_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 2.6 Stresses on Inclined Sections 197 (1) check normal and shear stresses at element 1 location & solve for ± T max using ² a1 & ³ a1 normal stress ^ sign difference because gravity offsets effect of temp. rise ± T max ´ 74.9°F Next, shear stress ± T max ´ 59.9°F (2) check normal and shear stresses at element 3 location & solve for ± T max using a2 & a2 normal stress µ same sign because temp. rise & gravity both produce compressive stress at element 3 ± T max ´ 28.1°F shear stress shear at element 3 location controls ¢ T max ´ 25.3°F ; ¢ T max ´ 510 a 2 9 20 s a b + 545 g b 1024 E a ¢ T max ´ 510 s a + 545 g b 1024E a + g Ab 2 b E A + 3 5 g A 2 a 3 4 b b b E A + 3 5 g A 2 a 3 4 b b 2 + 3 4 b 4 3 E A 2 ¥ a b + 4 5 a 3 4 b ¢ T max ´ a 3 4 s a b A 2 b E A + 3 4 b 4 3 E A 2 ¥ ¢ T max ´ s a2 A 2 ( f 12 + f 23 ) + a W 1 2 f 12 + W 2 f 12 + W 2 2 f 23 b a 1 b 1 + a
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Unformatted text preview: 2 b 2 T max 1121 g b + 1360 a 2 2 5 s a b 1024E a T max 1121 g b + 1360 s a 1024E a T max g Ab b E A + 2( g A b) 3 4 b 4 3 E A 2 + 3 5 g A 2 a 3 4 b b 3 4 b 4 3 E A 2 + 2 s al A b E A + 3 4 b 4 3 E A 2 2 a a b + 4 5 a 3 4 b b T max g 1 A 1 b 1 f 12 + 2( g 1 A 1 b 1 )f 23 + g 2 A 2 b 2 f 23 2 s a1 A 1 ( f 12 + f 23 ) 2( a 1 b 1 + a 2 b 2 ) s a1 A 1 W 1 + W 2 a W 1 2 f 12 + W 2 f 12 + W 2 2 f 23 b + ( a 1 b 1 + a 2 b 2 ) T f 12 + f 23 Sec_2.6.qxd 9/25/08 11:40 AM Page 197...
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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