The strain at point A on the pressure-vessel wall has components
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Statics and Mechanics of Materials (5th Edition)
- Prove that the sum of the normal strains in perpendicular directions is constant, i.e., Px + Py = Px′ + Py′arrow_forwardThe 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 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
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- a.) 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_forwardAn air-filled rubber ball has a diameter of 6 in. If the air pressure within the ball is increased until the diameter becomes 7 in., determine the average normal strain in the rubber.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
- The 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_forwardWhen force P is applied to the rigid arm ABC, point B displaces vertically downward through a distance of 0.2 mm. Determine the normal strain in wire CD.arrow_forwardThe material distorts into the dashed position shown. Determine the average normal strains along with the diagonals AD and CF.arrow_forward
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