The state of strain at the point on the pin leaf has components of
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Statics and Mechanics of Materials (5th Edition)
- The 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_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_forwardThe 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_forward
- The 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_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 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_forward
- An 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_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 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_forward
- A rectangular aluminum plate of uniform thickness has a strain gauge at the center. It is placed in a test rig which can apply a biaxial force system along the edges of the plate as shown below. If the measured strains are +0.0005 and +0.001 in the x and y directions respectively, a) Determine the corresponding stresses set up in the plate and the strain through the thickness, εz. Take E=72 GPa and ν=0.32. b) Construct the Mohr’s circle for the loaded plate. c) State the values of the principal stresses. d) Determine the maximum shearing stresses and the directions of the planes on which they occur.arrow_forwardMaterial A has a modulus of elasticity between Materials B and C, where the value of Material B is the highest and Material D is the lowest. Materials A and B do not undergo plastic deformation with the same strain value. Material B has the same strength as Material C, but higher than Material A. The strength of Material A is the same as that of Material D. Materials C and D experience the same strain with considerable plastic deformation. a. Draw the stress strain curves of the 4 Materials in one axisb. If you are asked to select a material according to the following criteria (state and explain why): i. Highest toughness: ii. Highest stiffness Supreme power iv. Highest tenacity If an application requires a material with low stiffness and high ductility, which material will you choose? NEED IN RUSH THANKSarrow_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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