02-06ChapGere.0016

02-06ChapGere.0016 - max 5 s max b E P . E . 5 U W h 1 d...

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SECTION 2.8 Impact Lading 159 A B C W b L R IGID BAR : W 5 Mg 5 (1.0kg)(9.81m/s 2 ) 5 9.81 N L 5 0.5m N YLON CORD : A 5 30mm 2 b 5 0.25m E 5 2.1GPa Find maximum stress s max in cord BC . G EOMETRY OF BAR AB AND CORD BC h 5 height of center of gravity of raised bar AD d max 5 elongation of cord cos u 5 L Ï b 2 1 L 2 From triangle ABC : sin u 5 b Ï b 2 1 L 2 AD 5 AB 5 L CD 5 CB 5 b From Appendix C: (Eq. 1) C ONSERVATION OF ENERGY P.E. 5 potential energy of raised bar AD (Eq. 2) Substitute into Eq. (2) and rearrange: (Eq. 3) Substitute from Eq. (1) into Eq. (3): (Eq. 4) S OLVE FOR s max : S UBSTITUTE NUMERICAL VALUES : s max 5 33.3 MPa s max 5 W 2 A B 1 1 B 1 1 8 L 2 EA W ( b 2 1 L 2 ) R s max 2 2 W A s max 2 2 WL 2 E A ( b 2 1 L 2 ) 5 0 s max 2 2 W A s max 2 2 WhE bA 5 0 For the cord: d
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Unformatted text preview: max 5 s max b E P . E . 5 U W h 1 d max 2 5 EA d max 2 2 b U 5 strain energy of stretched cord 5 EA d max 2 2 b 5 W h 1 d max 2 and h 5 bL 2 b 2 1 L 2 2 h L 5 2 b b 2 1 L 2 L b 2 1 L 2 5 2 bL b 2 1 L 2 sin 2 u 5 2 sin u cos u From line AD : sin 2 u 5 2 h AD 5 2 h L Solution 2.8-14 Falling bar AB h h b d max CG u u CG D C B L d max 2 A A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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