Question

To become familiar with the general equations of plane strain used for determining in-plane principal strain, maximum in-plane shear strain, and average normal strain. The state of strain at a point has components of ϵx=380.0×(10−6), ϵy=−250.0×(10−6), and γxy=180.0×(10−6).a. Equivalent in-plane strains on the oriented element Determine the equivalent in-plane strains on an element rotated counterclockwise at an angle of θ = 60.0 ∘ . Find ϵx',ϵy', γxy' Express your answers, separated by commas, to three significant figures.b. In-plane principal strains on the oriented element Determine the in-plane principal strains on the oriented element. Find ϵ1, ϵ2. Express your answers, separated by a comma, to three significant figures.c. Maximum in-plane shear strain and average normal strain on the oriented element Determine the maximum in-plane shear strain and the average normal strain on the oriented element. Express your answers, separated by a comma, to three significant figures.

Answer 1

a) -1.46 x 10∧-5, 1.445x 10∧-4, -6.355 x 10∧-4

b) 3.926 x 10∧-4, -2.626 x 10∧-4

c) 6.552 x 10∧-4, 6.5 x 10∧-5

Step-by-step explanation:

a) -1.46 x 10∧-5, 1.445x 10∧-4, -6.355 x 10∧-4

b) 3.926 x 10∧-4, -2.626 x 10∧-4

c) 6.552 x 10∧-4, 6.5 x 10∧-5

The explanation is shown in the attachment. I hope i have been able to help.