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).

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...

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