Mechanics of Materials 8th. Edition by Beer Johnston DeWolf Mazurek | 9781260113273 | 1260113272 | Holooly

Mechanics of Materials

Mechanics of Materials

1 SOLVED PROBLEMS

187 SOLVED PROBLEMS

Question: 10.5

A steel shaft and an aluminum tube are connected to a fixed support and to a rigid disk as shown in the cross section. Knowing that the initial stresses are zero, determine the maximum torque T0 that can be applied to the disk if the allowable stresses are 120 MPa in the steel shaft and 70 MPa in ...

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STRATEGY: We know that the applied load is resiste...

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Question: 11.SP.3

The block D of mass m is released from rest and falls a distance h before it strikes the midpoint C of the aluminum beam AB. Using E = 73 GPa, determine (a) the maximum deflection of point C, (b) the maximum stress in the beam. STRATEGY: Calculate the strain energy of the beam in terms of the ...

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MODELING: Principle of Work and Energy. The block ...

Question: 11.CA.8

A block of mass m moving with a velocity v0 hits the prismatic member AB squarely at its midpoint C (Fig. 11.27a). Determine (a) the equivalent static load Pm, (b) the maximum stress σm in the member, (c) the maximum deflection xm at point C. ...

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a. Equivalent Static Load. The maximum strain ener...

Question: 9.SP.9

For the beam and loading shown, determine the reaction at the fixed support C. STRATEGY: The beam is statically indeterminate to the second degree. Strategically selecting the reactions at C as redundants, you can use the method of superposition and model the given problem by using a summation of ...

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MODELING: Assuming the axial force in the beam to ...

Question: 9.SP.7

For the beam and loading shown, determine the slope and deflection at point B. ...

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MODELING: Through the principle of superposition, ...

Question: 11.SP.2

(a) Taking into account only the effect of normal stresses due to bending, determine the strain energy of the prismatic beam AB for the loading shown. (b) Evaluate the strain energy, knowing that the beam is a W10 × 45, P = 40 kips, L = 12 ft, a = 3 ft, b = 9 ft, and E = 29 × 10^6 psi. ...

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MODELING: Bending Moment. Using the free-body diag...

Question: 9.SP.8

For the uniform beam and loading shown, determine (a) the reaction at each support, (b) the slope at end A. STRATEGY: The beam is statically indeterminate to the first degree. Strategically selecting the reaction at B as the redundant, you can use the method of superposition to model the given ...

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MODELING: The reaction

R _B

is se...

Question: 9.CA.8

Determine the reactions at the supports for the prismatic beam and loading shown in Fig. 9.22a. (This is the same beam and loading as in Concept Application 9.5.) ...

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We consider the reaction at B as redundant and rel...

Question: 11.CA.7

A block of weight W is dropped from a height h onto the free end of the cantilever beam AB (Fig. 11.23). Determine the maximum value of the stress in the beam. ...

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As it falls through the distance h, the potential ...

Question: 11.SP.6

For the beam and loading shown, determine the deflection at point D. Use E = 29 × 10^6 psi. STRATEGY: Add a dummy load associated with the desired vertical deflection at joint D. Use a free-body diagram to determine the reactions due to both the dummy load and the distributed load. The moments in ...

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MODELING and ANALYSIS: Castigliano’s Theorem. We i...

Question: 8.SP.1

A 160-kN force is applied as shown at the end of a W200 × 52 rolled-steel beam. Neglecting the effect of fillets and of stress concentrations, determine whether the normal stresses in the beam satisfy a design specification that they be equal to or less than 150 MPa at section A–A′. ...

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MODELING and ANALYSIS: Shear and Bending Moment. R...

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