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

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.3.13P: A woodpile, driven into the earth, supports a load P entirely by friction along its sides (see...

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