A strain rosette having three strain gauges a, b and c is installed at point P on the x-y surface of a block (E = 100 GPa,v = 0.3). During a static test of the block in plane strain, the strain rosettes read a = 0.003, € = 0.001 and and = 0.001.Compute the following:a) the shear strain yxy at point P.b) All stress components at point P.Strain Gauges60⁰P30⁰a40°

modulus of elasticity(E) = 100 GPaPoisson's Ratio () = 0.3Reading of strain rosette ea…

Answered: a) the shear strain yxy at point P. b)…

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Civil Engineering

a) the shear strain yxy at point P. b) All stress components at point P.

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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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.

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A strain rosette having three strain gauges a, b and c is installed at point P on the x-y surface of a block (E = 100 GPa,v = 0.3). During a static test of the block in plane strain, the strain rosettes read a = 0.003, € = 0.001 and and = 0.001.
Compute the following:
a) the shear strain yxy at point P.
b) All stress components at point P.
Strain Gauges
60⁰
P
30⁰
a
40°

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