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The strain rosette is mounted on a beam made from A992 steel with the material properties: O, = 50 ksi Ou = 65 ksi Ty = 30 ksi Tu = 45 ksi E = 29000 ksi v = 0.32 G = 11200 ksi 60° 45 15 The following readings are obtained for each gauge: 420 HE EL=100 HE Ec = 125 µe Determine: (a) the in-plane principal STRESS and the orientation of the principal plane (b) the maximum in-plane shear STRESS and the average normal STRESS (c) the factors of safety with respect to yielding for both normal and shear STRESS Use Mohr's circle to determine the desired STRESS values. Draw the state of STRESS on a properly oriented block for each condition (a)-(b). You will have two separate STRESS block orientations. You will need to first calculate the strains, then apply Hooke's law, and be careful you account for Poisson's ratio (i.e. this problem uses everything we have learned to this point in class).

The strain rosette is mounted on a beam made from A992 steel with the material properties: O, = 50 ksi Ou = 65 ksi Ty = 30 ksi Tu = 45 ksi E = 29000 ksi v = 0.32 G = 11200 ksi 60° 45 15 The following readings are obtained for each gauge: 420 HE EL=100 HE Ec = 125 µe Determine: (a) the in-plane principal STRESS and the orientation of the principal plane (b) the maximum in-plane shear STRESS and the average normal STRESS (c) the factors of safety with respect to yielding for both normal and shear STRESS Use Mohr's circle to determine the desired STRESS values. Draw the state of STRESS on a properly oriented block for each condition (a)-(b). You will have two separate STRESS block orientations. You will need to first calculate the strains, then apply Hooke's law, and be careful you account for Poisson's ratio (i.e. this problem uses everything we have learned to this point in class).

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The strain rosette is mounted on a beam made from A992 steel with the material properties: Ty = 50 ksi Ou = 65 ksi Ty 30 ksi Tu = 45 ksi E = 29000 ksi v= 0.32 G = 11200 ksi 60° 45° 15 The following readings are obtained for each gauge: Ea = 420 uE EL = 100 µE Ec = 125 µe Determine: (a) the in-plane principal STRESS and the orientation of the principal plane (b) the maximum in-plane shear STRESS and the average normal STRESS (c) the factors of safety with respect to yielding for both normal and shear STRESS Use Mohr's circle to determine the desired STRESS values. Draw the state of STRESS on a properly oriented block for each condition (a)-(b). You will have two separate STRESS block orientations. You will need to first calculate the strains, then apply Hooke's law, and be careful you account for Poisson's ratio (i.e. this problem uses everything we have learned to this point in class).
Transcribed Image Text:The strain rosette is mounted on a beam made from A992 steel with the material properties: Ty = 50 ksi Ou = 65 ksi Ty 30 ksi Tu = 45 ksi E = 29000 ksi v= 0.32 G = 11200 ksi 60° 45° 15 The following readings are obtained for each gauge: Ea = 420 uE EL = 100 µE Ec = 125 µe Determine: (a) the in-plane principal STRESS and the orientation of the principal plane (b) the maximum in-plane shear STRESS and the average normal STRESS (c) the factors of safety with respect to yielding for both normal and shear STRESS Use Mohr's circle to determine the desired STRESS values. Draw the state of STRESS on a properly oriented block for each condition (a)-(b). You will have two separate STRESS block orientations. You will need to first calculate the strains, then apply Hooke's law, and be careful you account for Poisson's ratio (i.e. this problem uses everything we have learned to this point in class).
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