Answered: For the state of stress given in the…

For the state of stress given in the illustration below, determine the normal and shear stresses on plane A. y = -29000 psi A 20° T xy ox 7250 psi 11600 psi

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

For the state of stress given in the illustration below, determine the normal and shear stresses on
plane A.
= -29000 psi
A
20°
T
xy
8
=
7250 psi
= 11600 psi

Expert Solution

Step 1

Given,

Horizontal stress (compressive), $σ_{x}$ = 7250 psi

Vertical stress (tensile), $σ_{y}$ = -29000 psi

Shear stress, $τ_{x y}$ = 11600 psi

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Solved in 4 steps

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