Mechanics of Materials (MindTap Course ...9th EditionBarry J. Goodno, James M. Gere Publisher: Cengage LearningISBN: 9781337093347
Mechanics of Materials (MindTap Course ...
Solutions for Mechanics of Materials (MindTap Course List)
Problem 6.2.1P:
A composite beam is constructed using a steel plate (0.5 in. × 6 in.) with two wood beams (3 in. × 6...Problem 6.2.2P:
A wood beam is strengthened using two steel plates as shown in Fig, a. The beam has simple supports...Problem 6.2.3P:
A composite beam consisting of fiberglass faces and a core of particle board has the cross section...Problem 6.2.4P:
A wood beam with cross-sectional dimensions 200 mm x 300 mm is reinforced on its sides by steel...Problem 6.2.5P:
A hollow box beam is constructed with webs of Douglas-fir plywood and flanges of pine, as shown in...Problem 6.2.6P:
A r o lukI f/frm f «m t ub e of ou t sid e d ia met er ^ and a copper core of diameter dxare bonded...Problem 6.2.7P:
A beam with a guided support and 10-ft span supports a distributed load of intensity q = 660 lb/ft...Problem 6.2.8P:
A plastic-lined steel pipe has the cross-sectional shape shown in the figure. The steel pipe has an...Problem 6.2.9P:
The cross section of a sand wie h beam consisting of aluminum alloy faces and a foam core is shown...Problem 6.2.10P:
The cross section of a sandwich beam consisting of fiberglass faces and a lightweight plastic core...Problem 6.2.11P:
A bimetallic beam used in a temperature-control switch consists of strips of aluminum and copper...Problem 6.2.12P:
A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q = 30...Problem 6.2.13P:
A simply supported wooden I-beam with a 12-ft span supports a distributed load of intensity q = 90...Problem 6.2.14P:
-14 A simply supported composite beam with a 3.6 m span supports a triangularly distributed load of...Problem 6.2.15P:
-15 A composite beam is constructed froma wood beam (3 in. x 6 in.) and a steel plate (3 in, wide)....Problem 6.2.16P:
A wood beam in a historic theater is reinforced with two angle sections at the outside lower corners...Problem 6.2.17P:
Repeat Problem 6.2-1 but now assume that the steel plate is smaller (0.5 in. × 5 in.) and is aligned...Problem 6.3.2P:
A sandwich beam having steel faces enclosing a plastic core is subjected to a bending moment M = 5...Problem 6.3.3P:
A wood beam 8 in. wide and 12 in. deep (nominal dimensions) is reinforced on top and bottom by...Problem 6.3.4P:
A simple beam of span length 3.2 m carries a uniform load of intensity 48 kN/m, The cross section of...Problem 6.3.5P:
A simple beam that is 18 ft long supports a uniform load of intensity q. The beam is constructed of...Problem 6.3.6P:
The composite beam shown in the figure is simply supported and carries a total uniform load of 40...Problem 6.3.7P:
The cross section of a beam made of thin strips of aluminum separated by a lightweight plastic is...Problem 6.3.8P:
Consider the preceding problem if the beam has width h = 15 mm, the aluminum strips have thickness t...Problem 6.3.9P:
A simple beam thai is IS ft long supports a uni¬form load of intensity a. The beam is constructed of...Problem 6.3.10P:
The cross section of a composite beam made of aluminum and steel is shown in the figure. The moduli...Problem 6.3.11P:
A beam is constructed of two angle sections, each L5 x 3 x 1/2, that reinforce a 2 x g (actual...Problem 6.3.12P:
The cross section of a bimetallic strip is shown in the figure. Assuming that the moduli of...Problem 6.3.13P:
A W 12 x 50 steel wide-flange beam and a segment of a 4-inch thick concrete slab (see figure)...Problem 6.3.14P:
A reinforced concrete beam (see figure) is acted on by a positive bending moment of M = 160 kN · m....Problem 6.3.15P:
A reinforced concrete T-beam (see figure) is acted on by a positive bending moment of M = 175...Problem 6.3.16P:
A reinforced concrete slab (see figure) is reinforced with 13-mm bars spaced 160 mm apart at d = 105...Problem 6.3.17P:
A wood beam reinforced using two channels is subjected to a positive bending moment M_ = 25 kip-ft....Problem 6.3.18P:
A wood beam reinforced by an aluminum channel section is shown in the figure. The beam has a cross...Problem 6.4.1P:
A beam with a rectangular cross section supports an inclined load P having its line of action along...Problem 6.4.2P:
A wood beam with a rectangular cross section (see figure) is simply supported on a span of length L....Problem 6.4.3P:
Solve the preceding problem for the following data: b = 6 in., b = 10 in, L = 110 ft, tan a = 1/3,...Problem 6.4.4P:
A simply supported wide-flange beam of span length L carries a vertical concentrated load P acting...Problem 6.4.5P:
Solve the preceding problem using the fol low-data: W 8 × 21 section, L = 84 in., P = 4.5 kips, a =...Problem 6.4.6P:
A wood cantilever beam with a rectangular cross section and length L supports an inclined load P at...Problem 6.4.7P:
Solve the preceding problem for a cantilever beam with data as b = 4 in., h = 9 in., L = 10 ft, P =...Problem 6.4.8P:
A 2-m-long cantilever beam is constructed using a W 310 × 52 section. Load P acts in an inclined...Problem 6.4.9P:
A wood beam AB with a rectangular cross section (4 in. × 6 in.) serving as a roof purlin is simply...Problem 6.4.10P:
A steel beam of I-section (see figure) is simply supported at the ends. Two equal and oppositely...Problem 6.4.11P:
A cantilever beam with a wide-flange cross section and length L supports an inclined load P at its...Problem 6.4.12P:
Solve the preceding problem using a W 310 x 129 section, L = 1.8 m, P = 9.5 kN, and or x= 60°. See...Problem 6.4.13P:
A cantilever beam of W 12 × 14 section and length L = 9 ft supports a slightly inclined load P = 500...Problem 6.4.14P:
A cantilever beam built up from two channel shapes, each C200 x 17,1 and of length supports an...Problem 6.4.15P:
A built-Lip I-section steel beam with channels attached to the flanges (sec Figure part a) is simply...Problem 6.4.16P:
Repeat Problem 6.4-14 but use the configuration of channel shapes and loading shown in the figure....Problem 6.5.1P:
A beam with a channel section is subjected to a bending moment M having its vector at an angle 0 to...Problem 6.5.2P:
A beam with a channel section is subjected to a bending moment M having its vector at an angle 8 to...Problem 6.5.3P:
An angle section with equal legs is subjected to a bending moment M having its vector directed along...Problem 6.5.4P:
An angle section with equal legs is subjected to a bending moment M having its vector directed along...Problem 6.5.5P:
A beam made up all woun equal leg angles is subjected to a bending moment M having its vector .u an...Problem 6.5.6P:
The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of...Problem 6.5.7P:
The cross section of a steel beam is constructed of a W 18 × 71 wide-flange section with a 6 in. ×...Problem 6.5.8P:
The cross section of a steel beam is shown in the figure. This beam is subjected to a bending moment...Problem 6.5.9P:
A beam with a semicircular cross section of radius r is subjected to a bending moment M having its...Problem 6.5.10P:
.10 A built-up bourn supporting a condominium balcony is made up of a structural T (one half of a W...Problem 6.5.11P:
Asteelpost (E = 30 × 106 psi) having thickness t = 1/8 in. and height L = 72 in. supports a stop...Problem 6.5.12P:
A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a...Problem 6.5.13P:
A cold-formed steel section is made by folding a steel plate to form a structural section such as...Problem 6.8.1P:
A simple beam with a W 10 x 30 wide-flange cross section supports a uniform load of intensity q =...Problem 6.8.2P:
Solve the preceding problem for a W 250 × 44.8 wide-flange shape with L = 3.5 m. q = 45 kN/m, h =...Problem 6.8.3P:
A beam of wide-flange shape, W 8 x 28, has the cross section shown in the figure. The dimensions are...Problem 6.8.4P:
Solve the preceding problem for a W 200 × 41,7 shape with h = 166 mm, h = 205 mm. rw = 7.24 mm, tE=...Problem 6.9.1P:
Calculate the distance e from the cent crime of the web of a C 15 x 40 channel section to the shear...Problem 6.9.2P:
Calculate the distance e from the centerline of the web of a C 310 × 45 channel section to the shear...Problem 6.9.3P:
The cross section of an unbalanced wide-flange beam is shown in the figure. Derive the following...Problem 6.9.4P:
The cross section of an unbalanced wide-flange beam is shown in the figure. Derive the following...Problem 6.9.5P:
The cross section of a channel beam with double flanges and constant thickness throughout the...Problem 6.9.6P:
The cross section of a slit circular tube of constant thickness is shown in the figure, Show that...Problem 6.9.7P:
The cross section of a slit square tube of constant thickness is shown in the figure. Derive the...Problem 6.9.8P:
The cross section of a slit rectangular tube of constant thickness is shown in the figures. (a)...Problem 6.9.9P:
A U-shaped cross section of constant thickness is shown in the figure. Derive the following formula...Problem 6.9.10P:
Derive the following formula for the distance e from the center line of the wall to the shear center...Problem 6.9.11P:
Derive the following formula for the distance e from the centerline of the wall to the shear center...Problem 6.9.12P:
The cross section of a sign post of constant thickness is shown in the figure. Derive the formula...Problem 6.9.13P:
A cross section in the shape of a circular arc of constant thickness is shown in the figure. Derive...Problem 6.10.1P:
Determine the shape factor f for a cross section in the shape of a double trapezoid having the...Problem 6.10.2P:
(a) Determine the shape factor/for a hollow circular cross section having inner radius r1and outer...Problem 6.10.3P:
A propped cantilever beam of length L = 54 in. with a sliding support supports a uniform load of...Problem 6.10.4P:
A steel beam of rectangular cross section is 40 mm wide and 80 mm high (see figure). The yield...Problem 6.10.5P:
.5 Calculate the shape factor j for the wide-flange beam shown in the figure if h = 12.2 in., b =...Problem 6.10.6P:
Solve the preceding problem for a wide-flange beam with h = 404 mm, b = 140 mm, bf= 11.2 mm, and rf....Problem 6.10.7P:
Determine the plastic modulus Z and shape factor/for a W 12 x 14 wide-flange beam. Obtain the...Problem 6.10.11P:
A hollow box beam with height h = 16 in,, width h = 8 in,, and constant wall thickness r = 0.75 LiL...Problem 6.10.12P:
Solve the preceding problem for a box beam with dimensions h = 0.5 m, h = 0.18 m, and t = 22 mm. The...Problem 6.10.13P:
A hollow box beam with height h = 9.5 in., inside height/i, = 8.0 in., width? = 5,25 in., and inside...Problem 6.10.14P:
Solve the preceding problem for a box beam with dimensions h — 200 mm, A, = 160 mm, b = 150 mm, and...Problem 6.10.15P:
The hollow box beam shown in the figure is subjected to a bending moment M of such magnitude that...Problem 6.10.18P:
A singly symmetric beam with a T-section (see figure) has cross-sectional dimensions b = 140 mm, a =...Browse All Chapters of This Textbook
Chapter 1 - Tension, Compression, And ShearChapter 2 - Axially Loaded MembersChapter 3 - TorsionChapter 4 - Shear Forces And Bending MomentsChapter 5 - Stresses In Beams (basic Topics)Chapter 6 - Stresses In Beams (advanced Topics)Chapter 7 - Analysis Of Stress And StrainChapter 8 - Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)Chapter 9 - Deflections Of BeamsChapter 10 - Statically Indeterminate Beams
Book Details
Give students a rigorous, complete, and integrated treatment of the mechanics of materials -- an essential subject in mechanical, civil, and structural engineering. This leading text, Goodno/Gere's MECHANICS OF MATERIALS, 9E, examines the analysis and design of structural members subjected to tension, compression, torsion, and bending -- laying the foundation for further study.
Sample Solutions for this Textbook
We offer sample solutions for Mechanics of Materials (MindTap Course List) homework problems. See examples below:
Chapter 1, Problem 1.3.1PChapter 1, Problem 1.3.5PChapter 1, Problem 1.3.13PChapter 1, Problem 1.3.14PChapter 1, Problem 1.3.26PChapter 1, Problem 1.3.27PChapter 1, Problem 1.3.29PChapter 1, Problem 1.3.30PChapter 1, Problem 1.3.31P
Chapter 1, Problem 1.3.32PChapter 1, Problem 1.4.13PChapter 1, Problem 1.8.6PChapter 1, Problem 1.8.13PChapter 1, Problem 1.9.14PChapter 2, Problem 2.2.1PChapter 2, Problem 2.2.13PChapter 2, Problem 2.2.16PChapter 2, Problem 2.2.20PChapter 2, Problem 2.3.6PChapter 2, Problem 2.3.7PChapter 2, Problem 2.3.26PChapter 2, Problem 2.4.4PChapter 2, Problem 2.4.7PChapter 2, Problem 2.4.8PChapter 2, Problem 2.4.9PChapter 2, Problem 2.4.16PChapter 2, Problem 2.5.21PChapter 2, Problem 2.5.25PChapter 2, Problem 2.5.28PChapter 2, Problem 2.6.11PChapter 2, Problem 2.6.21PChapter 2, Problem 2.7.7PChapter 3, Problem 3.2.1PChapter 3, Problem 3.4.3PChapter 3, Problem 3.4.8PChapter 3, Problem 3.4.15PChapter 3, Problem 3.4.21PChapter 3, Problem 3.4.22PChapter 3, Problem 3.5.13PChapter 3, Problem 3.8.9PChapter 3, Problem 3.8.11PChapter 3, Problem 3.8.14PChapter 3, Problem 3.8.15PChapter 3, Problem 3.8.16PChapter 3, Problem 3.8.18PChapter 4, Problem 4.3.1PChapter 4, Problem 4.5.2PChapter 4, Problem 4.5.11PChapter 4, Problem 4.5.14PChapter 4, Problem 4.5.27PChapter 4, Problem 4.5.29PChapter 4, Problem 4.5.39PChapter 5, Problem 5.4.1PChapter 5, Problem 5.5.23PChapter 5, Problem 5.5.25PChapter 5, Problem 5.5.26PChapter 5, Problem 5.5.28PChapter 5, Problem 5.5.30PChapter 5, Problem 5.6.5PChapter 5, Problem 5.6.11PGiven: P=12 kNL=1.25 m.bA=60 mmbB=80 mmhB=120 mmM0=10 kN⋅m Calculate the maximum bending stress....Chapter 5, Problem 5.9.6PChapter 5, Problem 5.10.1PChapter 5, Problem 5.10.2PChapter 5, Problem 5.10.3PChapter 5, Problem 5.10.4PChapter 5, Problem 5.11.11PChapter 6, Problem 6.2.1PChapter 6, Problem 6.2.6PChapter 6, Problem 6.2.8PChapter 6, Problem 6.2.13PChapter 6, Problem 6.2.14PChapter 6, Problem 6.2.15PChapter 6, Problem 6.2.16PChapter 6, Problem 6.3.9PChapter 6, Problem 6.3.16PChapter 6, Problem 6.8.3PChapter 6, Problem 6.9.10PChapter 7, Problem 7.2.1PChapter 7, Problem 7.5.10PChapter 7, Problem 7.5.12PChapter 7, Problem 7.5.13PChapter 7, Problem 7.5.14PChapter 7, Problem 7.6.3PChapter 7, Problem 7.6.4PChapter 7, Problem 7.6.5PChapter 7, Problem 7.6.6PGiven information: The normal stress of the nylon element along the x axis is − 3.9 MPa , normal...Chapter 7, Problem 7.7.1PChapter 7, Problem 7.7.3PChapter 7, Problem 7.7.17PGiven: Stress along x direction is −150 MPaand stress along y direction is −210 MPaand shear stress...Chapter 7, Problem 7.7.31PChapter 8, Problem 8.2.1PChapter 8, Problem 8.4.9PChapter 8, Problem 8.4.14PChapter 8, Problem 8.4.15PChapter 8, Problem 8.4.16PChapter 8, Problem 8.4.19PChapter 8, Problem 8.5.7PChapter 8, Problem 8.5.24PChapter 8, Problem 8.5.34PChapter 9, Problem 9.2.1PChapter 9, Problem 9.3.23PChapter 9, Problem 9.4.10PChapter 9, Problem 9.5.18PChapter 9, Problem 9.5.23PChapter 9, Problem 9.5.37PChapter 9, Problem 9.6.10PChapter 9, Problem 9.7.2PChapter 9, Problem 9.7.3PChapter 9, Problem 9.7.4PChapter 9, Problem 9.7.5PChapter 9, Problem 9.7.6PChapter 9, Problem 9.7.8PChapter 9, Problem 9.7.12PChapter 10, Problem 10.3.1PChapter 10, Problem 10.4.9PChapter 10, Problem 10.4.11PChapter 10, Problem 10.4.21PChapter 10, Problem 10.4.37PChapter 10, Problem 10.4.40PChapter 10, Problem 10.5.5PChapter 11, Problem 11.2.1PChapter 11, Problem 11.3.23PChapter 11, Problem 11.3.25PChapter 11, Problem 11.3.27PChapter 11, Problem 11.4.3PChapter 11, Problem 11.4.4PChapter 11, Problem 11.4.5PGiven: E=200 GPa L= 7.5 m Factor of of safety = 2.5 Column type: W250×89 Concept Used: Factor of...Chapter 11, Problem 11.4.10PGiven Information: The outside diameter of the steel pipe column, do =4.5 in. The thickness of the...Given Information: The length of the column, L = 3.5 m The allowable load, P = 130 kN The value of...Given Information: The length of the column, L = 3. 0m The allowable load, P = 800kN The value of...Given: The outside diameter of the pipe is d2=80 mm and inside diameter of the pipe is d1=72 mm ....
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