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 11.9.30P
To determine
The allowable axial load.
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4. A wood post 12 in. by 12 in. is braced by four steel angles. The
wood post and the pieces of angles are exactly the same length
of 20 feet. The reinforced post carries a total compressive load of
200 kips. For steel: E = 29 x 10^3 ksi, for wood: Area = 0.938 sq. in.,
E = 1.9 x 10^3 ksi
a. Find the axial stress (in kips) in the steel.
b. Find the axial stress in the wood.
c. Find the deformation (in inches) if the length of the
reinforced post is 12 ft.
IVERSI
A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure.
Assume LAB = 9 ft, LBc = 2 ft, LcD = 3 ft, LoE = 2 ft, Pc = 1920 Ib, PE = 2070 Ib, wAB = 810 Ib/ft, b1 = 8 in., b2= 2 in., b3= 6 in., dz = 2 in., d2= 11
in., d3= 2 in. Consider the entire 16-ft length of the beam and determine:
(a) the maximum tension bending stress or at any location along the beam, and
(b) the maximum compression bending stress oc at any location along the beam.
PC
PE
WAB
B
|C
D
E
LAB
LBC
LCD
LDE
b1
d
|d2
- bz
dz
bz
Answers:
(a) or =
i
psi.
(b) oc
psi.
Read the question carefully and give me right solution according to the question.. Please answer all. Don't miss anything.
Figure 5 shows a rigid horizontal beam ABCE which is supported by a pair of rectangular bars CD at C. The cross-sectional size of each of the rectangular bar is 37.5 × 12.5 mm. Modulus of elasticity of the bar is E=80 GPa. Vertical loads of 17.5 kN and 35 kN act at points B and E, respectively.Compute:i) Vertical displacement of point Bii) Vertical displacement of point EIf it is given that the allowable displacement of point C is 1 mm, determine the minimum thickness of rectangular bar CD required. The width of the rectangular bar should be kept unchanged at 37.5 mm.
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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