If the two principal strains at a point are 1000 x 10 6 and-600 x 106, then the maximum shear strain is (a) 800 x 106 (b) 500 x 10-6
Q: 4. Given a shear stress of T-35 MPa and a shear modulus of G= 75 GPa, the shear strain is most…
A: Given data Shear stress=35 mpa Shear modulus =75 gpa We have to determine shear Strain
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A: For solution refer below images.
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A: CA=AB=300 mm In the right angle ∆AA"A' cos30°=A'A"2A'A"=1.732 mm
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Q: 1. The state of plain strain at a point in a body is given by = 800 x 10-6, y = 200 x 10-6, and yxy…
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Q: *2-4. The two wires are connected together at A. If the force P causes point A to be displaced…
A: L(AB) = 300 mm L(AC) = 300 mm Angle(A) = 600 Displacement due to force P= 2 mm.
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- The strain at point A on the bracket has components P x = 300(10-6 ), Py = 550(10-6 ), gxy = -650(10-6 ), P z = 0. Determine (a) the principal strains at A in the x9y plane, (b) the maximum shear strain in the x–y plane, and (c) the absolute maximum shear strain.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.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.
- The 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.If the normal strain is defined in reference to the final length Δs′, that is,P= = lim Δs′S 0 aΔs′ - Δs Δs′ b instead of in reference to the original length, Eq. 2–2, show that the difference in these strains is represented as a second-order term, namely, P - P= = P P′.The following piece is originally rectangular Determine the average normal strain that occurs along the diagonal DB b) Determine the shear strain at A
- 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.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=Prove that the sum of the normal strains in perpendicular directions is constant, i.e., Px + Py = Px′ + Py′
- . A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet areεx = 0.40 x 10-3and εy = 0.30 x 10-3,determine δx and δy Use E = 110 GPa and v = 0.35.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.A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are εx = 0.40 x10-3 and εy = 0.30 x 10-3, determine σx and σy. Use E= 110 GPa and v = 0.35.