Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 4.2, Problem 4.17P
The pipe is stuck in the ground so that when it is pulled upward the frictional force along its length varies linearly from zero at B to fmax (force/length) at C. Determine the initial force P required to pull the pipe out and the pipe’s elongation just before it starts to slip The pipe has a length L, cross-sectional area A, and the material from which it is made has a modulus of elasticity E.
Prob. 4–17
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The pipe is stuck in the ground so that when it is pulled upward the frictional force along its length varies linearly from zero at B to fmax (force/length) at C. Determine the initial force P required to pull the pipe out and the pipe’s elongation just before it starts to slip. The pipe has a length L, cross-sectional area A, and the material from which it is made has a modulus of elasticity E.
Q2/ The 10-mm-diameter bolt is made of an aluminum alloy. It fits through a magnesium
sleeve that has an inner diameter of 15 mm and an outer diameter of 25 mm. The original
lengths of the bolt and sleeve are 80 mm and 50 mm, respectively. If after the nut on the
bolt is tightened the tension in the bolt is 10 kN, determine the change in dimension of
the cross-section of the bolt and the sleeve. Assume the material at A is rigid.
Ea = 70 GPa, Emg = 45 GPa, Ga = 26 GPa, Gmg = 17 GPa.
50 mm
30 mm
Q2/ The 10-mm-diameter bolt is made of an aluminum alloy. It fits through a magnesium
sleeve that has an inner diameter of 15 mm and an outer diameter of 25 mm. The original
lengths of the bolt and sleeve are 80 mm and 50 mm, respectively. If after the nut on the
bolt is tightened the tension in the bolt is 10 kN, determine the change in dimension of
the cross-section of the bolt and the sleeve. Assume the material at A is rigid.
E = 70 GPa, Emg = 45 GPa, Ga 26 GPa, Gmg= 17 GPa.
50 mm
30 mm
Chapter 4 Solutions
Mechanics of Materials (10th Edition)
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