529_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

529_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 6.4 Beams with Inclined Loads 523 Problem 6.4-5 Solve the preceding problem using the following data: W 8 ± 21 section, L ² 84 in., P ² 4.5 k, and a ² 22.5°. Solution 6.4-5 L ² 84 in. P ² 4.5 k a ² 22.5 W IDE - FLANGE BEAM : W 8 ± 21 I y ² 9.77 in. 4 I z ² 75.3 in. 4 d ² 8.28 in. b ² 5.270 in. B ENDING MOMENTS N EUTRAL AXIS nn b ² a tan a I z I y tan( a ) b b ² 72.6° ; M z ² P cos( a ) L 4 M z ² 87307 lb-in. M y ² P sin( a ) L 4 M y ² 36164 lb-in. ° B ENDING STRESSES P OINT A: P OINT B: P OINT D: P OINT E: s E ²³ s A s E 14554 psi ; s D s B s D ² 4953 psi ; s B 4953 psi ; s B ² s x ( z B , y B ) z B b 2 y B ² ³ d 2 s A ² 14554 psi ; s A ² s x ( z A , y A ) z A ² b 2 y A ² ³ d 2 s x ( z , y ) ² M y z I y ³ M z y I z Problem 6.4-6 A wood cantilever beam of rectangular cross section and length L supports an inclined load P at its free end (see figure). Determine the orientation of the neutral axis and calculate the maximum
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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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