2.3-13 A wood pile, driven into the earth, supports a load P entirely by friction along its sides (see figure part a). The friction force f per unit length of the pile is assumed to be uniformly distributed over the surface of the pile. The pile has a length L, cross-sectional area A, and modulus of elasticity E. (a) Derive a formula for the shortening ô of the pile in terms of P, L, E, and A. (b) Draw a diagram showing how the compressive stress o, varies throughout the length of the pile. (c) Repeat parts (a) and (b) if skin friction f varies linearly with depth (see figure part b). fy) = fo (1 – y/L); Skin friction f uniform Skin friction f varies linearly with depth fo (a) PROBLEM 2.3-13
2.3-13 A wood pile, driven into the earth, supports a load P entirely by friction along its sides (see figure part a). The friction force f per unit length of the pile is assumed to be uniformly distributed over the surface of the pile. The pile has a length L, cross-sectional area A, and modulus of elasticity E. (a) Derive a formula for the shortening ô of the pile in terms of P, L, E, and A. (b) Draw a diagram showing how the compressive stress o, varies throughout the length of the pile. (c) Repeat parts (a) and (b) if skin friction f varies linearly with depth (see figure part b). fy) = fo (1 – y/L); Skin friction f uniform Skin friction f varies linearly with depth fo (a) PROBLEM 2.3-13
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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![2.3-13 A wood pile, driven into the earth, supports
a load P entirely by friction along its sides (see figure
part a). The friction force f per unit length of the pile is
assumed to be uniformly distributed over the surface
of the pile. The pile has a length L, cross-sectional
area A, and modulus of elasticity E.
(a) Derive a formula for the shortening ô of the pile
in terms of P, L, E, and A.
(b) Draw a diagram showing how the compressive
stress o, varies throughout the length of the
pile.
(c) Repeat parts (a) and (b) if skin friction f varies
linearly with depth (see figure part b).
fy) = fo (1 – y/L);
Skin
friction f
uniform
Skin friction f
varies linearly
with depth
fo
(a)
PROBLEM 2.3-13](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbfe1bde-0ba5-470a-be27-bf3b109052b3%2F02a79489-9427-47db-b9ca-1f014e97f797%2Fyut0yt5_processed.png&w=3840&q=75)
Transcribed Image Text:2.3-13 A wood pile, driven into the earth, supports
a load P entirely by friction along its sides (see figure
part a). The friction force f per unit length of the pile is
assumed to be uniformly distributed over the surface
of the pile. The pile has a length L, cross-sectional
area A, and modulus of elasticity E.
(a) Derive a formula for the shortening ô of the pile
in terms of P, L, E, and A.
(b) Draw a diagram showing how the compressive
stress o, varies throughout the length of the
pile.
(c) Repeat parts (a) and (b) if skin friction f varies
linearly with depth (see figure part b).
fy) = fo (1 – y/L);
Skin
friction f
uniform
Skin friction f
varies linearly
with depth
fo
(a)
PROBLEM 2.3-13
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