Prob. 3.4-16. A uniform circular cylinder of diameter d and length L is made of material with modulus of elasticity E. It is fixed to a rigid wall at end A and subjected to distributed external axial loading of magnitude p(x) per unit length, as shown in Fig. P3.4-16a. The axial stress, (x), varies linearly with x as shown in Fig. P3.4-16b. (a) Determine an expression for the distributed loading, p(x). (Hint: Draw a free-body diagram of the bar from section x to section (x + Ax).) (b) Using Eq. 3.12, determine an expression for the axial displacement, u(x), of the cross section at distance x from end A. A (a) * u(x) p(x) B P3.4-16 08 (b)
Prob. 3.4-16. A uniform circular cylinder of diameter d and length L is made of material with modulus of elasticity E. It is fixed to a rigid wall at end A and subjected to distributed external axial loading of magnitude p(x) per unit length, as shown in Fig. P3.4-16a. The axial stress, (x), varies linearly with x as shown in Fig. P3.4-16b. (a) Determine an expression for the distributed loading, p(x). (Hint: Draw a free-body diagram of the bar from section x to section (x + Ax).) (b) Using Eq. 3.12, determine an expression for the axial displacement, u(x), of the cross section at distance x from end A. A (a) * u(x) p(x) B P3.4-16 08 (b)
Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
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Chapter8: Vertical Stress Increase In Soil
Section: Chapter Questions
Problem 8.6P: Two line loads q1 and q2 of infinite lengths are acting on top of an elastic medium, as shown in...
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Transcribed Image Text:Prob. 3.4-16. A uniform circular cylinder of diameter d and
length L is made of material with modulus of elasticity E.
It is fixed to a rigid wall at end A and subjected to distributed
external axial loading of magnitude p(x) per unit length, as
shown in Fig. P3.4-16a. The axial stress, (x), varies linearly
with x as shown in Fig. P3.4-16b. (a) Determine an expression
for the distributed loading, p(x). (Hint: Draw a free-body
diagram of the bar from section x to section (x + Ax).)
(b) Using Eq. 3.12, determine an expression for the axial
displacement, u(x), of the cross section at distance x from
end A.
u(x)
p(x)
B
P3.4-16
08
(b)
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