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05-04ChapGere.0004 - 14 MPa t 5 4 V 3 ¢ 61 41 ≤ ¢ 100 9...

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Solution 5.9-4 Wind load on a sign SECTION 5.9 Shear Stresses in Circular Beams 341 d h 2 = 1.5 m h 1 = 6.0 m W b width of sign b 3.0 m p 3.6 kPa allow 50 MPa allow 16 MPa d diameter W wind force on one pole (a) R EQUIRED DIAMETER BASED UPON BENDING STRESS ( d meters) 0.018866 m 3 d 0.266 m 266 mm d 3 17.253 M max s allow (17.253)(54.675 kN m) 50 MPa s Mc I M ( d 2) 369 d 4 40,000 17.253 M d 3 c d 2 I 64 B d 4 ¢ 4 d 5 4 R d 4 64 ¢ 369 625 369 d 4 40,000 (m 4 ) s Mc I I 64 ( d 2 4 d 1 4 ) d 2 d d 1 d 2 t 4 5 d M max W ¢ h 1 h 2 2 54.675 kN m t d 10 W ph 2 ¢ b 2 8.1 kN (b) R EQUIRED DIAMETER BASED UPON SHEAR STRESS V max W 8.1 kN 0.004059 m 2 d 0.06371 m 63.7 mm (Bending stress governs) d 2 7.0160
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Unformatted text preview: 14 MPa t 5 4 V 3 ¢ 61 41 ≤ ¢ 100 9 p d 2 ≤ 5 7.0160 V d 2 A 5 p 4 ( d 2 2 1 d 1 2 ) 5 p 4 B d 2 2 ¢ 4 d 5 ≤ 2 R 5 9 p d 2 100 r 2 2 1 r 1 r 2 1 r 1 2 r 2 2 1 r 1 2 5 ¢ d 2 ≤ 2 1 ¢ d 2 ≤ ¢ 2 d 5 ≤ 1 ¢ 2 d 5 ≤ 2 ¢ d 2 ≤ 2 1 ¢ 2 d 5 ≤ 2 5 61 41 r 1 5 d 2 2 t 5 d 2 2 d 10 5 2 d 5 t 5 4 V 3 A ¢ r 2 2 1 r 1 r 2 1 r 1 2 r 2 2 1 r 1 2 ≤ Ê r 2 5 d 2 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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