Mechanics of Materials 1st. Edition by James M. Gere, Barry J. Goodno | 9781111136024 | 1111136025 | Holooly

Mechanics of Materials

Mechanics of Materials

74 SOLVED PROBLEMS

Question: 5.16

The composite beam shown in Fig. 5-47a is formed of a wood beam (4.0 in. × 6.0 in. actual dimensions) and a steel reinforcing plate (4.0 in. wide and 0.5 in. thick). The beam is subjected to a positive bending moment M = 60 k-in. Using the transformed-section method, calculate the largest tensile ...

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Transformed section. We will transform the origina...

Question: 5.9

A metal beam with span L = 3 ft is simply supported at points A and B (Fig. 5-29a). The uniform load on the beam (including its own weight) is q = 160 lb/in. The cross section of the beam is rectangular (Fig. 5-29b) with width b = 1 in. and height h = 4 in. The beam is adequately supported against ...

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Shear force and bending moment. The shear force [...

Question: 5.15

A sandwich beam having aluminum-alloy faces enclosing a plastic core (Fig. 5-45) is subjected to a bending moment M = 3.0 kN·m. The thickness of the faces is t = 5 mm and their modulus of elasticity is E1 = 72 GPa.The height of the plastic core is hc = 150 mm and its modulus of elasticity is ...

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Neutral axis. Because the cross section is doubly ...

Question: 5.14

A composite beam (Fig. 5-44) is constructed from a wood beam (4.0 in. × 6.0 in. actual dimensions) and a steel reinforcing plate (4.0 in. wide and 0.5 in. thick). The wood and steel are securely fastened to act as a single beam. The beam is subjected to a positive bending moment M = 60 k-in. ...

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Neutral axis. The first step in the analysis is to...

Question: 5.13

A beam having a T-shaped cross section (Fig. 5-37a) is subjected to a vertical shear force V = 10,000 lb. The cross-sectional dimensions are b = 4 in., t = 1.0 in., h = 8.0 in., and h1 = 7.0 in. Determine the shear stress τ1 at the top of the web (level nn) and the maximum shear stress τmax. ...

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Location of neutral axis. The neutral axis of the ...

Question: 5.12

A beam of wide-flange shape (Fig. 5-36a) is subjected to a vertical shear force V = 45 kN. The cross-sectional dimensions of the beam are b = 165 mm, t = 7.5 mm, h = 320 mm, and h1 = 290 mm. Determine the maximum shear stress, minimum shear stress, and total shear force in the web. (Disregard the ...

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Maximum and minimum shear stresses. The maximum an...

Question: 5.11

A vertical pole consisting of a circular tube of outer diameter d2 = 4.0 in. and inner diameter d1 = 3.2 in. is loaded by a horizontal force P = 1500 lb (Fig. 5-33a). (a) Determine the maximum shear stress in the pole. (b) For the same load P and the same maximum shear stress, what is the diameter ...

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(a) Maximum shear stress. For the pole having a ho...

Question: 5.10

A wood beam AB supporting two concentrated loads P (Fig. 5-30a) has a rectangular cross section of width b = 100 mm and height h = 150 mm (Fig. 5-30b). The distance from each end of the beam to the nearest load is a = 0.5 m. Determine the maximum permissible value Pmax of the loads if the allowable ...

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The maximum shear force occurs at the supports and...

Question: 5.5

A simply supported wood beam having a span length L = 12 ft carries a uniform load q = 420 lb/ft (Fig. 5-19). The allowable bending stress is 1800 psi, the wood weighs 35 lb/ft³, and the beam is supported laterally against sideways buckling and tipping. Select a suitable size for the beam from the ...

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Since we do not know in advance how much the beam ...

Question: 5.4

The beam ABC shown in Fig 5-15a has simple supports at A and B and an overhang from B to C. The length of the span is 3.0 m and the length of the overhang is 1.5 m. A uniform load of intensity q = 3.2 kN/m acts throughout the entire length of the beam (4.5 m). The beam has a cross section of ...

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Reactions, shear forces, and bending moments.We be...

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