The state of strain at a point on the bracket has component:
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Statics and Mechanics of Materials (5th Edition)
- The state of strain at a point on a wrench has components ϵx = 120(10-6), ϵy = -180(10-6), γxy= 150(10-6). Use Mohr's circle to solve the problem. Determine the orientations of the element at which the principal strains occur. θp1= θp2=arrow_forwardFor the state of a plane strain with εx, εy and γxy components: (a) construct Mohr’s circle and (b) determine the equivalent in-plane strains for an element oriented at an angle of 30° clockwise. εx = 255 × 10-6 εy = -320 × 10-6 γxy = -165 × 10-6arrow_forwardThe strain at point A on the pressure-vessel wall has components Px = 480(10-6), Py = 720(10-6), gxy =650(10-6). Determine (a) the principal strains at A, in the x9y plane, (b) the maximum shear strain in the x9y plane, and (c) the absolute maximum shear strain.arrow_forward
- The state of strain at the point on the leaf of the caster assembly has components of P x = -400(10-6), Py = 860(10-6), and gxy = 375(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of u = 30 counterclockwise from the original position. Sketch the deformed element due to these strains within the x–y plane.arrow_forwardWhen the state of strain is represented by the principal strains, no shear strain will act on the element. True or False?arrow_forwardThe strain at point A on the bracket has normal components 250x10-6 and 550x10-6 in x and y directions, respectively and shear component -600 x10-6 in x-y plane. Determine the absolute maximum shear strain in 10-6 unit.arrow_forward
- The 60o strain rosette is mounted on the surface of the bracket. The following readings are obtained for each gage: ϵa = -650(10-6), ϵb = 450(10-6), and ϵc =670(10‑6). Determine the plain strain components ϵx , ϵy and γxy at that point.arrow_forwardThe 60o strain rosette is mounted on a beam. The following readings are obtained for each gage: ϵa = 650(10-6), ϵb = -550(10-6), and ϵc =470(10‑6). Determine (a) the in-plane principal strains and (b) maximum in plane shear strain.arrow_forwardThe material distorts into the dashed position shown. Determine the average normal strains along with the diagonals AD and CF.arrow_forward
- The strain at point A on a beam has components Px = 450(10-6), Py = 825(10-6), gxy = 275(10-6), Pz = 0. Determine (a) the principal strains at A, (b) the maximum shear strain in the x–y plane, and (c) the absolute maximumshear strain.arrow_forwardThe average normal strain and half the maximum in-planeshear strain is determined from the circle as the coordinates. True or false?arrow_forwardThe strain components e x, e y, and γ xy are givenfor a point in a body subjected to plane strain. Determine the straincomponents e n, e t, and γ nt at the point if the n−t axes are rotatedwith respect to the x−y axes by the amount, and in the direction,indicated by the angle θ shown in the Figurebelow . Sketch the deformed shape of the element.arrow_forward
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning