Choose the one option that is closest to the correct nswer. ○ εA = 0.001045,εB = 0.002535, &c = -0.000345 Ο ΕΑ EA = 0.000677,εB = 0.001427, εc = -0.000223 Ο ΕΑ ○ εA = 0.001045, εB = -0.002535, &c = 0.000345 Ο ΕΑ ○ εA = 0.005185, εB = EB Ο ΕΑ 0.002152, c = -0.000345 EA = 0.000677,εB = -0.001427, &c = 0.000223 Ο ΕΑ ○ εA = 0.005185, εB = -0.002152, εc EB Ο ΕΑ = 0.000345 A lightweight shaft made of an aluminium alloy is designed to carry axial and torsional loads as shown in Figure 1(a). The stress calculations at a point on the surface of the shaft give the stress state shown in Figure 1(c). A design engineer wishes to check that these stress calculations are correct by measuring the strains on the surface of the shaft. A 45° strain rosette is affixed to the surface of the shaft as shown in Figure 1(b). The shaft material has an elastic modulus, E, of 67 GPa and Poisson's ratio, v, of 0.33. What are the strain gauge readings that the engineer would expect for each leg of the rosette from the stress state shown in Figure 1(c). (a) (b) 45 45° Figure 1 Loading of aluminium shaft. (c) 100 MPa 70 MPa

Choose the one option that is closest to the correct nswer. ○ εA = 0.001045,εB = 0.002535, &c = -0.000345 Ο ΕΑ EA = 0.000677,εB = 0.001427, εc = -0.000223 Ο ΕΑ ○ εA = 0.001045, εB = -0.002535, &c = 0.000345 Ο ΕΑ ○ εA = 0.005185, εB = EB Ο ΕΑ 0.002152, c = -0.000345 EA = 0.000677,εB = -0.001427, &c = 0.000223 Ο ΕΑ ○ εA = 0.005185, εB = -0.002152, εc EB Ο ΕΑ = 0.000345 A lightweight shaft made of an aluminium alloy is designed to carry axial and torsional loads as shown in Figure 1(a). The stress calculations at a point on the surface of the shaft give the stress state shown in Figure 1(c). A design engineer wishes to check that these stress calculations are correct by measuring the strains on the surface of the shaft. A 45° strain rosette is affixed to the surface of the shaft as shown in Figure 1(b). The shaft material has an elastic modulus, E, of 67 GPa and Poisson's ratio, v, of 0.33. What are the strain gauge readings that the engineer would expect for each leg of the rosette from the stress state shown in Figure 1(c). (a) (b) 45 45° Figure 1 Loading of aluminium shaft. (c) 100 MPa 70 MPa

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.5.11P: The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in...

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