A state of plane stress consists of an 8-ksi tensile stress (as shown) along with an unknownshear stress. Determine:(a) the magnitude of the shear stress, o, for which the largest normal stress is 10 ksi(b) the corresponding maximum shear stress in the material. P2: A state of plane stress consists of an 8-ksi tensile stress (as shown) along with an unknownshear stress. Determine:(a) the magnitude of the shear stress, to, for which the largest normal stress is 10 ksi(b) the corresponding maximum shear stress in the material.yTOσο0o = 8 ksi

Consider σx=σo=8ksiσy=0τxy=τo (a) Calculate normal stress i.e principal stress σ1=10ksiσ1=σx+σy2+σx+σy22+τ2xyσ1=σ0+σ02+σ0+σ022+τ2o10=82+822+τ2o10=4+14+τ2o6=14+τ2o36=14+τ2oτ2o=36-14=22τo=22τo=4.69 ksi Therefore, magnitude of the shear stress is 4.69 ksi(b) Calculate corresponding maximum shear stress as; τmax=σx+σy22+τ2xyτmax=σ022+τ20τmax=822+222τmax=16+22τmax=38τmax=6.16 ksi Therefore the maximum shear stress is 6.16 ksi

Answered: P2: A state of plane stress consists of…

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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A state of plane stress consists of an 8-ksi tensile stress (as shown) along with an unknown
shear stress. Determine:
(a) the magnitude of the shear stress, o, for which the largest normal stress is 10 ksi
(b) the corresponding maximum shear stress in the material.

P2: A state of plane stress consists of an 8-ksi tensile stress (as shown) along with an unknown
shear stress. Determine:
(a) the magnitude of the shear stress, to, for which the largest normal stress is 10 ksi
(b) the corresponding maximum shear stress in the material.
y
TO
σο
0o = 8 ksi

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