6. Determine the lateral strain, in mm/mm, in the 5 mm diameter aluminum T6 rod when P = 8 kN. Use L 400 mm, v=0.35, and E = 70 GPa. L a. 1.17 x 103 с. 2.03 х 103 h 1.87 x 10:3 d. 2 36 x 10:3
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- 5 decimal places Determine the total strain (mm/mm) of a 2.64-m bar with a diameter of 21 mm subjected to a tensile force of 71 kN at a temperature increase of 49 C°. Consider the α=27.3 µm/mC° and E = 122 GPa.A rectangular block has dimensions of 3 in, 4 in, and 5 in along the X-, y-, and z- axes, respectively. The block is subjected to triaxial loading of three uniformly distributed loadings of 30 kips (C), 45 kips (T), and 60 kips (C) along the x-, y-, and z- axes, respectively. If the strain along the X- axis and the z-axis are 0.00021 (C) and 0.00042 (T), respectively, determine the Poisson's ratio and the modulus of elasticity of the material. Also, what is the change in volume of the material?Prove that the sum of the normal strains in perpendicular directions is constant, i.e., P x+ P y = P x + P y.
- When subjected to a compressive load, the length of the rod is 199,6 mm, and its diameter is 10 mm. If the original length was 200 mm, and modulus is 70 GPa, determine: 1.1 The stress and strain in the rod when loaded. 1.2 The magnitude of the load.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.Prove that the sum of the normal strains in perpendicular directions is constant, i.e., Px + Py = Px′ + Py′
- A rigid steel bar is supported by three rods, as shown. There is no strain in the rods before the load P is applied. After load P is applied, the normal strain in rod (2) is 1020 μin./in. Assume initial rod lengths of L1 = 148 in. and L2 = 78 in. Determine(a) the normal strain in rods (1).(b) the normal strain in rods (1) if there is a 0.043 in. gap in the connections between the rigid bar and rods (1) at joints A and C before the load is applied.(c) the normal strain in rods (1) if there is a 0.043 in. gap in the connection between the rigid bar and rod (2) at joint B before the load is applied.. 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.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 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=The force P causes point A to be displaced vertically by 1.60 mm A) Determine the normal strain developed in wire AB B) Determine the normal strain in wire AC7) The strain of a component, which has a tensile modulus of 4 X 105 MPa, and subjected to a stress of 6000KPa, is a. 0.000015 b. 0.00015 c. 0.00003 d. 0.003