Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Chapter 11, Problem 11.9.22P
An aluminum pipe column (alloy 2014-T6) with pinned ends has an out side diameter d2= 120 mm and inside diameter d1=110 mm (see figure).
Determine the allowable axial load Pallowfor each of the following lengths: L = 1,0 m, 2.0 tn, 3.0 m. and 4.0 m.
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Given answers to be: i) 14.65 kN; 6.16 kN; 8.46 kN ii) 8.63 kN; 9.88 kN iii) Bearing 6315 for B1 & B2, or Bearing 6215 for B1
(b)
A steel 'hot rolled structural hollow section' column of length 5.75 m, has
the cross-section shown in Figure Q.5(b) and supports a load of 750 kN.
During service, it is subjected to axial compression loading where one end
of the column is effectively restrained in position and direction (fixed) and
the other is effectively held in position but not in direction (pinned).
i)
Given that the steel has a design strength of 275 MN/m², determine
the load factor for the structural member based upon the BS5950
design approach using Datasheet Q.5(b).
[11]
ii)
Determine the axial load that can be supported by the column
using the Rankine-Gordon formula, given that the yield strength of
the material is 280 MN/m² and the constant *a* is 1/30000.
[6]
300
600
2-300 mm
wide x 5 mm
thick plates.
Figure Q.5(b)
L=5.75m
Pinned
Fixed
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Chapter 11 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 11 - A rigid bar of length L is supported by a linear...Ch. 11 - The figure shows an idealized structure consisting...Ch. 11 - -2-3. Two rigid bars are connected with a...Ch. 11 - Repeat Problem 11.2-3 assuming that R= 10 kN ·...Ch. 11 - The figure shows an idealized structure consisting...Ch. 11 - An idealized column consists of rigid bar ABCD...Ch. 11 - An idealized column is made up of rigid segments...Ch. 11 - The figure shows an idealized structure consisting...Ch. 11 - The figure shows an idealized structure consisting...Ch. 11 - The figure shows an idealized structure consisting...
Ch. 11 - The figure shows an idealized structure consisting...Ch. 11 - Rigid column ABCD has an elastic support at B with...Ch. 11 - An idealized column is made up of rigid bars ABC...Ch. 11 - An idealized column is composed of rigid bars ABC...Ch. 11 - Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25...Ch. 11 - An idealized column is composed of rigid bars ABC...Ch. 11 - Column AB has a pin support at A,a roller support...Ch. 11 - Slender column ABC is supported at A and C and is...Ch. 11 - Calculate the critical load PCTfor a W 8 × 35...Ch. 11 - Solve the preceding problem for a W 250 × 89 steel...Ch. 11 - Solve Problem 11.3-3 for a W 10 × 45 steel column...Ch. 11 - A horizontal beam AB is pin-supported at end A and...Ch. 11 - A column ABC is supported at ends A and C and...Ch. 11 - Find the controlling buckling load (kN) for the...Ch. 11 - A column, pinned at top and bottom, is made up of...Ch. 11 - Repeat Problem 11.3-9. Use two C 150 × 12.2 steel...Ch. 11 - A horizontal beam AB is pin-supported at end A and...Ch. 11 - -12 A horizontal beam AB is supported at end A and...Ch. 11 - A horizontal beam AB has a sliding support at end...Ch. 11 - A slender bar AB with pinned ends and length L is...Ch. 11 - A rectangular column with cross-sectional...Ch. 11 - .16 Three identical, solid circular rods, each of...Ch. 11 - Three pinned-end columns of the same material have...Ch. 11 - A long slender column ABC is pinned at ends A and...Ch. 11 - The roof over a concourse at an airport is...Ch. 11 - The hoisting arrangement for lifting a large pipe...Ch. 11 - A pinned-end strut of aluminum (E = 10,400 ksi)...Ch. 11 - The cross section of a column built up of two...Ch. 11 - The truss ABC shown in the figure supports a...Ch. 11 - A truss ABC supports a load W at joint B, as shown...Ch. 11 - An S6 × 12.5 steel cantilever beam AB is supported...Ch. 11 - The plane truss shown in the figure supports...Ch. 11 - A space truss is restrained at joints O, A,B, and...Ch. 11 - A fixed-end column with circular cross section is...Ch. 11 - A cantilever aluminum column has a square tube...Ch. 11 - An aluminum pipe column (E = 10,400 ksi) with a...Ch. 11 - Solve the preceding problem for a steel pipe...Ch. 11 - A wide-flange steel column (E = 30 × l06 psi) of...Ch. 11 - Prob. 11.4.6PCh. 11 - The upper end of a WE × 21 wide-flange steel...Ch. 11 - A vertical post AB is embedded in a concrete...Ch. 11 - The horizontal beam ABC shown in the figure is...Ch. 11 - The roof beams of a warehouse are supported by...Ch. 11 - Determine the critical load Pcrand the equation of...Ch. 11 - A fixed-pinned column is a W310 × 21 steel shape...Ch. 11 - Find the Controlling buckling load (kips) for the...Ch. 11 - Prob. 11.4.14PCh. 11 - A rigid L-shaped frame is supported by a steel...Ch. 11 - An aluminum tube AB with a circular cross section...Ch. 11 - The frame ABC consists of two members AB and BC...Ch. 11 - An aluminum bar having a rectangular cross section...Ch. 11 - ‘11.5-2 A steel bar having a square cross section...Ch. 11 - A simply supported slender column is subjected to...Ch. 11 - A brass bar of a length L = 0.4 m is loaded at end...Ch. 11 - Determine the bending moment M in the pinned-end...Ch. 11 - Plot the load-deflection diagram for a pinned-end...Ch. 11 - Solve the preceding problem for a column with e =...Ch. 11 - A wide-flange member (W200 × 22.5) is compressed...Ch. 11 - A wide-f hinge member (W 10 × 30) is compressed by...Ch. 11 - Solve the preceding problem (W 250 × 44.8) if the...Ch. 11 - The column shown in the figure is fixed at the...Ch. 11 - An aluminum box column with a square cross section...Ch. 11 - Solve the preceding problem for an aluminum column...Ch. 11 - A steel post /t if with a hollow circular cross...Ch. 11 - A frame ABCD is constructed of steel wide-flange...Ch. 11 - A steel bar has a square cross section of width b...Ch. 11 - ]11.6-2 A brass bar (E = 100 GPa) with a square...Ch. 11 - A square aluminum bar with pinned ends carries a...Ch. 11 - A pinned-and column of a length L = 2A m is...Ch. 11 - A pinned-end strut of a length L = 5.2 ft is...Ch. 11 - A circular aluminum tube with pinned ends supports...Ch. 11 - A steel W 12 × 35 column is pin-supported at the...Ch. 11 - A steel W 310 x 52 column is pin-supported at the...Ch. 11 - A steel column (E = 30 x 103 ksi) with pinned ends...Ch. 11 - A W410 × S5 steel column is compressed by a force...Ch. 11 - A steel column ( E = 30 X 103 ksi) that is fixed...Ch. 11 - AW310 × 74 wide-flange steel column with length L...Ch. 11 - A pinned-end column with a length L = 18 ft is...Ch. 11 - The wide-flange, pinned-end column shown in the...Ch. 11 - A W14 × 53 wide-flange column of a length L = 15...Ch. 11 - A wide-flange column with a bracket is fixed at...Ch. 11 - Determine the allowable axial load Pallowa W 10 X...Ch. 11 - Determine the allowable axial load Pallowfor a W...Ch. 11 - Determine the allowable axial load Pallowfor a W...Ch. 11 - Select a steel wide-flange column of a nominal...Ch. 11 - Prob. 11.9.5PCh. 11 - Select a steel wide-flange column of a nominal...Ch. 11 - Prob. 11.9.7PCh. 11 - Determine the allowable axial load Pallowfor a...Ch. 11 - Determine the allowable axial load Pallowfor a...Ch. 11 - Determine the allowable axial load Pallowfor a...Ch. 11 - -11 Determine the maximum permissible length...Ch. 11 - Determine the maximum permissible length Lmaxfor a...Ch. 11 - A steel pipe column with pinned ends supports an...Ch. 11 - The steel columns used in a college recreation...Ch. 11 - A W8 × 28 steel wide-flange column with pinned...Ch. 11 - Prob. 11.9.16PCh. 11 - Prob. 11.9.17PCh. 11 - Prob. 11.9.18PCh. 11 - Prob. 11.9.19PCh. 11 - Prob. 11.9.20PCh. 11 - Prob. 11.9.21PCh. 11 - An aluminum pipe column (alloy 2014-T6) with...Ch. 11 - Prob. 11.9.23PCh. 11 - Prob. 11.9.24PCh. 11 - Prob. 11.9.25PCh. 11 - Prob. 11.9.26PCh. 11 - Prob. 11.9.27PCh. 11 - Prob. 11.9.28PCh. 11 - Prob. 11.9.29PCh. 11 - Prob. 11.9.30PCh. 11 - A wood column with, a rectangular cross section...Ch. 11 - Prob. 11.9.32PCh. 11 - Prob. 11.9.33PCh. 11 - A square wood column with side dimensions b (see...Ch. 11 - A square wood column with side dimensions b (see...Ch. 11 - Prob. 11.9.36P
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