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

Section: Chapter Questions

Problem 1.1MA

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

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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