1. At a point, the normal and shear stresses acting on one plane are 120 psi compression and 30 psi respectively. On a perpendicular plane, the normal and shear stress combination is 40 psi compression and 30 psi. Find the principal stresses.

1. At a point, the normal and shear stresses acting on one plane are 120 psi compression and 30 psi respectively. On a perpendicular plane, the normal and shear stress combination is 40 psi compression and 30 psi. Find the principal stresses.

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

1. At a point, the normal and shear stresses acting on one plane are 120 psi compression and 30
psi respectively. On a perpendicular plane, the normal and shear stress combination is 40 psi
compression and 30 psi. Find the principal stresses.

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