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 11.2.13P
An idealized column is made up of rigid bars ABC and CD that are joined by a rotational elastic connection at C with stiffness ßR. The column has a roller support at B and a pin support at D. Find an expression for the critical load Pcr of the column.
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A spring package with two springs and an external force, 200N. The short spring has a loin of 35 mm. Constantly looking for spring for short spring so that total compression is 35 mm (d). Known values: Long spring: Short spring:C=3.98 N/mm Lo=65mmLo=87.4mmF=c·fTotal compression is same for both spring. 200 = (3.98(c1) × 35) + (c₂ × 35)
200 = 139.3 + 35c₂
200 - 139.3 = 35c₂
60.7 = 35c₂
c₂ = 60.7/35
Short spring (c₂) = 1.73 N/mm
According to my study book, the correct answer is 4.82N/mm
What is wrong with the calculating?
What is the reason for this composition?
Homework: ANOVA Table for followed design
B
AB
Dr
-1
-1
1
(15.18,12)
1
-1
-1
(45.48.51)
-1
1
-1
(25,28,19)
1
1
(75.75,81)
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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