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568_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 568_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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562 CHAPTER 6 Stresses in Beams (Advanced Topics) Problem 6.10-7 Determine the plastic modulus Z and shape factor f for a W 12 14 wide-flange beam. ( Note : Obtain the cross-sectional dimensions and section modulus of the beam from Table E-1a in Appendix E.) Solution 6.10-7 W 12 14 h 11.9 in. b 3.97 in. t f 0.225 in. t w 0.200 in. S 14.9 in. 3 P LASTIC MODULUS ; Z 16.98 in. 3 Z 1 4 [ bh 2 ( b t w )( h 2 t f ) 2 ] S HAPE FACTOR ; f 1.14 f Z S Problem 6.10-8 Solve the preceding problem for a W 250 89 wide-flange beam. ( Note : Obtain the cross-sectional dimensions and section modulus of the beam from Table E-1b in Appendix E.) Solution 6.10-8 W 250 89 h 259 mm b 257 mm t f 17.3 mm t w 10.7 mm
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Unformatted text preview: ; Z ² 1.209 * 10 6 mm 3 Z ² 1 4 [ bh 2 ³ ( b ³ t w )( h ³ 2 t f ) 2 ] S HAPE FACTOR ; f ² 1.11 f ² Z S Problem 6.10-9 Determine the yield moment M Y , plastic moment M P , and shape factor f for a W 16 ± 100 wide-flange beam if s Y ² 36 ksi. ( Note : Obtain the cross-sectional dimensions and section modulus of the beam from Table E-1a in Appendix E.) Solution 6.10-9 W 16 ± 100 h ² 17.0 in. b ² 10.4 in. t f ² 0.985 in. t w ² 0.585 in. S ² 175 in. 3 s y ² 36 ksi Y IELD MOMENT ; M y ² s y S M y ² 525 k-ft 06Ch06.qxd 9/24/08 6:05 AM Page 562...
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