1 Tension, Compression, And Shear 2 Axially Loaded Members 3 Torsion 4 Shear Forces And Bending Moments 5 Stresses In Beams (basic Topics) 6 Stresses In Beams (advanced Topics) 7 Analysis Of Stress And Strain 8 Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings) 9 Deflections Of Beams 10 Statically Indeterminate Beams 11 Columns Chapter6: Stresses In Beams (advanced Topics)
Chapter Questions Section: Chapter Questions
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 6.3.1P: Repeat Problem 6.2-17 but now use a transformed-section approach. 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 6.10.8P Problem 6.10.9P Problem 6.10.10P 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 6.10.16P Problem 6.10.17P Problem 6.10.18P: A singly symmetric beam with a T-section (see figure) has cross-sectional dimensions b = 140 mm, a =... Problem 6.10.19P: A wide-flange beam with an unbalanced cross section has the dimensions shown in the figure.... Problem 6.10.20P: .20 Determine the plastic moment Mpfor beam having the cross section shown in the figure ey=210 MPa. Problem 6.10.17P
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Subject: Mechanics of Deformable Bodies
Transcribed Image Text: Find the lightest W-shape for the beam shown if the working stress in bending
is 20 Ksi. What is the maximum bending stress in the beam selected?
2000 lb
2000 lb
250 lb/ft
B
C
A
D
- 8 ft-
16 ft
8 ft
Note:
Draw and label properly the FBD and Shear and Moment Diagram
Branch of science that deals with the stationary and moving bodies under the influence of forces.
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