908_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 908_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

This preview shows page 1. Sign up to view the full content.

Problem 11.9-19 Find the required outside diameter d for a steel pipe column (see figure) of length L ± 11.5 ft that is pinned at both ends and must support an axial load P ± 80 k. Assume that the wall thickness t is 0.30 in. (Use E ± 29,000 ksi and .) s Y ± 42 ksi 902 CHAPTER 11 Columns Solution 11.9-19 Pipe column Pinned ends . Seltect various values of diameter d until we obtain . P allow ± P a L r b c ± A 2 p 2 E s Y ± 116.7 L c ± (116.7) r I ± p 64 [ d 4 ² ( d ² 2 t ) 4 ] r ± A I A A ± p 4 [ d 2 ² ( d ² 2 t ) 2 ] E ± 29,000 ksi s Y ± 42 ksi d ± outside diameter t ± 0.30 in. L ± 11.5 ft ± 138 in. P ± 80 k ( K ± 1) For P ± 80 k, d ± 5.23 in. ; d (in.) 5.20 5.25 5.30 A (in. 2 ) 4.618 4.665 4.712 I (in. 4 ) 13.91 14.34 14.78 r (in.) 1.736 1.753 1.771 L c (in.) 203 205 207 L/r 79.49 78.72 77.92 n 1 (Eq. 11-79) 1.883 1.881 1.880 (Eq. 11-81) s allow / s Y 0.4079 0.4107 0.4133 s allow (ksi) 17.13 17.25 17.36 P allow ± A s allow 79.1 k 80.5 k 81.8 k Problem 11.9-20 Find the required outside diameter d for a steel pipe column (see figure) of length L ± 3.0 m that is pinned at both ends and must support an axial load P ± 800 kN. Assume that the wall thickness t is 9 mm. (Use E ± 200 GPa and .) s Y ± 300 MPa Solution 11.9-20 Pipe column
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Pinned ends . Seltect various values of diameter d until we obtain . If , Use Eqs. (11-79) and (11-81). If , Use Eqs. (11-80) and (11-82). L Ú L c L … L c P allow ± P a L r b c ± A 2 p 2 E s Y ± 114.7 L c ± (114.7) r I ± p 64 [ d 4 ² ( d ² 2 t ) 4 ] r ± A I A A ± p 4 [ d 2 ² ( d ² 2 t ) 2 ] E ± 200 GPa s Y ± 300 MPa d ± outside diameter t ± 9.0 mm L ± 3.0 m P ± 800 kN ( K ± 1) For P ± 800 kN, d ± 194 mm ; d (mm) 193 194 195 A (mm 2 ) 5202 5231 5259 I (mm 4 ) 20.08 * 10 6 22.43 * 10 6 22.80 * 10 6 r (mm) 65.13 65.48 65.84 L c (mm) 7470 7510 7550 L/r 46.06 45.82 45.57 n 1 (Eq. 11-79) 1.809 1.809 1.808 (Eq. 11-81) s allow / s Y 0.5082 0.5087 0.5094 s allow (MPa) 152.5 152.6 152.8 P allow ± A s allow 793.1 kN 798.3 kN 803.8 kN If , Use Eqs. (11-79) and (11-81). If , Use Eqs. (11-80) and (11-82). L Ú L c L … L c 11Ch11.qxd 9/27/08 2:27 PM Page 902...
View Full Document

## 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.

Ask a homework question - tutors are online