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531_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 531_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 6.4 Beams with Inclined Loads 525 Solution 6.4-8 M o 4.0 kN m a 24° S 200 27.4 I y 1.54 10 6 mm 4 I z 23.9 10 6 mm 4 d 203 mm b 102 mm B ENDING MOMENTS M y M 0 sin( a ) M y 1627 N m M z M 0 cos( a ) M z 3654 N m # # # N EUTRAL AXIS nn M AXIMUM TENSILE STRESS ( AT POINT A) s max 69.4 MPa ; s max M y a b 2 b I y M z a d 2 b I z b a tan a I z I y tan( a ) b b 81.8° ; Problem 6.4-9 A cantilever beam of wide-flange 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 tensile stress s max due to the load P . Data for the beam are as follows: W 10 45 section, L 8.0 ft, P 1.5 k, and a 55°. ( Note : See Table E-1a of Appendix E for the dimensions and proper- ties of the beam.)

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