535_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

535_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 6.5 Bending of Unsymmetric Beams 529 Bending of Unsymmetric Beams When solving the problems for Section 6.5, be sure to draw a sketch of the cross section showing the orientation of the neutral axis and the locations of the points where the stresses are being found. Problem 6.5-1 A beam of channel section is subjected to a bending moment M having its vector at an angle u to the z axis (see figure). Determine the orientation of the neutral axis and calculate the maximum tensile stress s t and maximum compressive stress s c in the beam. Use the following data: C 8 ± 11.5 section, M ² 20 k-in., tan u ² 1/3. ( Note : See Table E-3a of Appendix E for the dimensions and properties of the channel section.) B ENDING MOMENTS M y ²³ M o sin( a ) M y ²³ 28.9 k in. M z ² M o cos( a ) M z ² 34.5 k in.
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Unformatted text preview: N EUTRAL AXIS nn M AXIMUM TENSILE STRESS P OINT A: (b) B UILT UP SECTION : I y I sy 2 I cz I y 9.50 in. 4 b d c b 4.000 in. d d s + 2 b c d 9.160 in. I z 60.4 in. 4 I z I sz + 2 c I cy + A c a d s 2 + c b 2 d s A s x ( z A , y A ) s A 8469 psi ; z A b 2 y A d 2 s x ( z , y ) M y z I y M z y I z b 76.2 ; b a tan a I z I y tan( a ) b # # N EUTRAL AXIS nn M AXIMUM TENSILE STRESS P OINT A: s A s x ( z A , y A ) s A 8704 psi ; z A b 2 y A d 2 s x ( z , y ) M y z I y M z y I z b 79.4 ; b a tan a I z I y tan( a ) b z y C M u Probs. 6.5-1 and 6.5-2 06Ch06.qxd 9/24/08 5:54 AM Page 529...
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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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