A circular surface area 200 cm² is inclined to the x and y axes such that the unit vector normal to the surface is given by n = 0.4i + 0.3j. If a force of 2000 kg acts on the x-axis, then the normal stress on the surface will be

A circular surface area 200 cm² is inclined to the x and y axes such that the unit vector normal to the surface is given by n = 0.4i + 0.3j. If a force of 2000 kg acts on the x-axis, then the normal stress on the surface will be

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

A circular surface area 200 cm² is
inclined to the x and y axes such that
the unit vector normal to the surface is
given by n = 0.4i + 0.3j. If a force of
2000 kg acts on the x-axis, then the
normal stress on the surface will be

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