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Mechanics of materials (ME022) 7th Edition

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Download Solution Manual for Mechanics of Materials 7th Edition by Beer Johnston De Wolf and Mazurek

PROBLEM 2.1
A nylon thread is subjected to a 8.5-N tension force. Knowing that E  3.3 GPa and that the length of the
thread increases by 1.1%, determine (a) the diameter of the thread, (b) the stress in the thread.

PROBLEM 2.2
A 4.8-ft-long steel wire of 1
4 -in.-diameter is subjected to a 750-lb tensile load. Knowing that E = 29 × 106 psi,
determine (a) the elongation of the wire, (b) the corresponding normal stress.

PROBLEM 2.3
An 18-m-long steel wire of 5-mm diameter is to be used in the manufacture of a prestressed concrete beam.
It is observed that the wire stretches 45 mm when a tensile force P is applied. Knowing that E  200 GPa,
determine (a) the magnitude of the force P, (b) the corresponding normal stress in the wire.

PROBLEM 2.4
Two gage marks are placed exactly 250 mm apart on a 12-mm-diameter aluminum rod with E = 73 GPa and
an ultimate strength of 140 MPa. Knowing that the distance between the gage marks is 250.28 mm after a load
is applied, determine (a) the stress in the rod, (b) the factor of safety.

PROBLEM 2.5
An aluminum pipe must not stretch more than 0.05 in. when it is subjected to a tensile load. Knowing that
E  10.1  106 psi and that the maximum allowable normal stress is 14 ksi, determine (a) the maximum
allowable length of the pipe, (b) the required area of the pipe if the tensile load is 127.5 kips.

PROBLEM 2.6
A control rod made of yellow brass must not stretch more than 3 mm when the tension in the wire is 4 kN.
Knowing that E = 105 GPa and that the maximum allowable normal stress is 180 MPa, determine (a) the
smallest diameter rod that should be used, (b) the corresponding maximum length of the rod.

PROBLEM 2.7
A steel control rod is 5.5 ft long and must not stretch more than 0.04 in. when a 2-kip tensile load is applied to it.
Knowing that E  29106 psi, determine (a) the smallest diameter rod that should be used, (b) the
corresponding normal stress caused by the load.

PROBLEM 2.8
A cast-iron tube is used to support a compressive load. Knowing that E  10  106 psi and that the maximum
allowable change in length is 0.025%, determine (a) the maximum normal stress in the tube, (b) the minimum
wall thickness for a load of 1600 lb if the outside diameter of the tube is 2.0 in.

PROBLEM 2.9
A 4-m-long steel rod must not stretch more than 3 mm and the normal stress must not exceed 150 MPa when
the rod is subjected to a 10-kN axial load. Knowing that E  200 GPa, determine the required diameter of
the rod.

PROBLEM 2.10
A nylon thread is to be subjected to a 10-N tension. Knowing that E  3.2 GPa, that the maximum allowable
normal stress is 40 MPa, and that the length of the thread must not increase by more than 1%, determine the
required diameter of the thread.

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Mechanics of materials (ME022) 7th Edition

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