The strain components e, E, and yy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine theprincipal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0, theprincipal strain deformations, and the maximum in-plane shear strain distortion in a sketch.Ex = 390 µe, ɛ, = -630 pe, Vxy = -760 prad. Enter the angle such that -45°s0,s +45°.Answer:Ep1 =Ep2 =Ymax in-planepradYabsolute max.prad0p =

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principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 390 µɛ, ɛ, = -630 µɛ, Yxy = -760 µrad. Enter the angle such that -45°s0,s +45°.

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

The strain components e, E, and yy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the
principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0, the
principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.
Ex = 390 µe, ɛ, = -630 pe, Vxy = -760 prad. Enter the angle such that -45°s0,s +45°.
Answer:
Ep1 =
Ep2 =
Ymax in-plane
prad
Yabsolute max.
prad
0p =

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