The strain at point A on the bracket has components
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Statics and Mechanics of Materials (5th Edition)
- The state of strain at the point on the spanner wrench has components of Px = 260(10-6), P y = 320(10-6), and gxy = 180(10-6). Use the strain transformation equations to determine (a) the in-plane principal strains and (b) the maximum in-plane shear strain and average normal strain. In each case specify the orientation of the element and show how the strains deform the element within the x–y plane.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_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 strain components εx, εy, and γxy are given for a point in a body subjected to plane strain. Determine the strain components εn, εt, and γnt at the point if the n-t axes are rotated with respect to the x-y axes by the amount and in the direction indicated by the angle θ. Sketch the deformed shape of the element. εx = -1100 με, εy = 490 με, γxy = 1500 μrad, and θ = 34°.arrow_forwardThe 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_forwarda.) Determine the normal strain across line ABb.)Determine average shear strains at corners C and D Draw a free-body diagramarrow_forward
- The material distorts into the dashed position shown. Determine the average normal strains Px, Py and the shear strain gxy at A, and the average normal strain along line BE.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_forwardIn many situations physical constraints prevent strain from occurring in a given direction. For example, εz= 0 in the case shown, where longitudinal movement of the long prism is prevented at every point. Plane sections perpendicular to the longitudinal axis remain plane and the same distance apart. Show that for this situation, which is known as plane strain, we can express σz, εx, and εy as followsarrow_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_forwarda.) determine average normal strain along AC after load has been applied. b.) determine average shear strain at A relative to x and y axis (gamma xy =) c.) determine average shear strain at point C relative to the x and y axes after deformation (gamma xy)arrow_forwardThe piece of plastic is originally rectangular. Determine the average normal strain that occurs along the diagonals AC and DB. Determine the shear strain at corners A and B if the plastic distorts as shown by the dashed lines.arrow_forward
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