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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 84 in., P 4.5 k, and a 22.5°. Solution 6.4-5 L 84 in. P 4.5 k a 22.5 W IDE - FLANGE BEAM : W 8 21 I y 9.77 in. 4 I z 75.3 in. 4 d 8.28 in. b 5.270 in. B ENDING MOMENTS N EUTRAL AXIS nn b a tan a I z I y tan( a ) b b 72.6° ; M z P cos( a ) L 4 M z 87307 lb-in. M y P sin( a ) L 4 M y 36164 lb-in. ° B ENDING STRESSES P OINT A: P OINT B: P OINT D: P OINT E: s E s A s E 14554 psi ; s D s B s D 4953 psi ; s B 4953 psi ; s B s x ( z B , y B ) z B b 2 y B d 2 s A 14554 psi ; s A s x ( z A , y A ) z A b 2 y A d 2 s x ( z , y ) M y z I y 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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