Consider a rectangular specimen of aluminium has a dimension of 10 ?? × 12.7 ?? is pulled in tension with 35500 N. Calculate the resulting strain. Given the modulus of elasticity is 69 × 103??? and assume that the deformation is elastic.
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Consider a rectangular specimen of aluminium has a dimension of 10 ?? × 12.7 ?? is pulled in tension with 35500 N. Calculate the resulting strain. Given the modulus of elasticity is 69 × 103??? and assume that the deformation is elastic.
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- 2. A steel bar, whose cross section is 0.55 inch by 4.05 inches, was tested in tension. An axial load of P = 30,500 lb. produced a deformation of 0.105 inch over a gauge length of 2.05 inches and a decrease of 0.0075 inch in the 0.55-inch thickness of the bar. Determine the lateral strain. * Your answer Determine the axial strain. Your answer Determine the Poisson's ratio v. * Your answer Determine the decrease in the 4.05-in. cross-sectional dimension (in inches). * Your answerA steel bar, whose cross section is 0.60 inch by 4.10 inches, was tested in tension. An axial load of P = 31,025 lb. produced a deformation of 0.115 inch over a gauge length of 2.10 inches and a decrease of 0.0080 inch in the 0.60-inch thickness of the bar. a. Determine the lateral strain. b. Determine the axial strain. c. Determine the Poisson’s ratio v. d. Determine the decrease in the 4.05-in. cross-sectional dimension (in inches).A steel alloy specimen having a rectangular cross section of dimensions 19.1 mm x 3.1 mm (0.7520 in. × 0.1220 in.) has the stress-strain behavior shown in the Animated Figure 6.22b. If this specimen is subjected to a tensile force of 98290 N (22100 Ib;) then (a) Determine the amount of elastic strain induced. (b) Determine the amount of plastic strain induced. (c) If its original length is 610 mm, what will be its final length after this force is applied and then released? The elastic modulus for steel is 207 GPa. (a) i (b) i (c) i mm
- 2. A steel bar, whose cross section is 0.55 inch by 4.05 inches, was tested in tension. An axial load of P = 30,500 lb. produced a deformation of 0.105 inch over a gauge length of 2.05 inches and a decrease of 0.0075 inch in the 0.55-inch thickness of the bar. * Determine the lateral strain. Your answer Determine the axial strain. Your answer Determine the Poisson's rati v. Your answer Determine the decrease in the 4.05-in. cross-sectional dimension (in inches). * Your answer4.20 A cylindrical aluminum alloy rod with a 0.5 in. diameter is subjected to ten- sion. Determine the magnitude of the load required to produce a 10 in. change in diameter if the deformation is entirely elastic. Assume a Young's modulus of 11 X 106 psi and a Poisson's ratio of 0.33.If length of rod is 2 m and a radius of 20 mm is made of high-strength steel. The rod is subjected to a torque T, which produces a shear stress below the proportional limit. If the cross section at one end is rotated 45 degrees in relation to the other end, and the shear modulus G of the material is 90 GPa, calculate the amount of applied torque?
- A cylindrical specimen of stainless steel having a diameter of 12.8 mm (0.505 in.) and a gauge length of 50.800 mm (2.000 in.) is pulled in tension. Use the load–elongation characteristics shown in the following table to answer the following: a. Plot the data as engineering stress versus engineering strain. b. Compute the modulus of elasticity. 66 c. Determine the yield strength at a strain offset of 0.002. d. Determine the tensile strength of this alloy. e. What is the approximate ductility, in percent elongation? f. Compute the modulus of resilience) Consider a cylindrical specimen of a steel alloy 10.0 mm in diameter and 75 mm long that is pulled in tension. (a) Determine its elongation when a load of 20,000 N is applied. (b) What is the modulus of elasticity? (c) What is the strength at a strain offset of 0.002? (d) What is the tensile strength?A steel rod with a cross-sectional area of 0.25in2 is stretched between two fixed points. The tensile force in the rod at 70°F is 1200lb. If a = 6.5x10-6/°F and E = 29x106 psi, What will be the stress at 0°F? At what temperature will the stress be zero? A bronze bar 3m long with a cross-sectional area of 320mm2 is placed between two rigid walls. At ta temperature of -20°c, the gap A = 25mm. Find the temperature at which the compressive stress of the bar will be 35 MPa. Use a = 18x10-6 m/ (m. °C) and E = 80GPA.
- A bar of length 2.0m is made of a structural steel having the stress-strain diagram shown in the figure. The yield stress of the steel is 250 MPa and the slope of the initial linear part of the stress-strain curve (modulus of elasticity) is 200GPa. The bar is loadded axially until it elongates 6.5mm, and then the load is removed. How does the final length of the bar compare with its original length? (Hint: Use the concepts illustrated in figure below)Find the poisson's ratio for a given material if the modulus of elasticity is 100 GN/m2 and it's modulus of elasticity in shear is 40 GPa.The following shaft is composed of two materials, both rigidly bonded. The data is provided in the table: Determine: The maximum torque that can be applied based on the maximum stresses of each material. The total deformation of the shaft with the torque from the previous section. The maximum torque that can be applied if the maximum deformation of the shaft is 2.50 rad.