(a) What is the indentation diagonal length when a load of 0.61 kg produces a Vickers HV of 450? i 1.6E-1 mm (b) Calculate the Vickers hardness when a 610-g load yields an indentation diagonal length of 0.045 mm. i HV
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- A tensile test was performed on a metal specimen with a diameter of 1 2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The dam were plotted on a load-displacement graph. P vs. L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/L =1392 kips/in. What is the modulus of elasticity?A (200 * 100 * 50) mm³ steel block is subjected to a hydrostatic pressure of 15 MPa. The Young's modulus and Poisson's ratio of the material are 200 GPa and 0.3 respectively. The change in the volume of the block in mm³ isHardness 6.54 (a) A 10-mm-diameter Brinell hardness indenter O produced an indentation 2.50 mm in diameter in a steel alloy when a load of 1000 kg was used. Compute the HB of this material. (b) What will be the diameter of an indentation to yield a hardness of 300 HB when a 500-kg load is used?
- A circular aluminum alloy [E = 70 GPa; a = 22.5 × 10-6/°C; v = 0.33] pipe has an outside diameter of 270 mm, a wall thickness of 14 mm, and a length of 5.1 m. The pipe supports a compressive load of 635 kN. After the temperature of the pipe drops 44°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer: (a) õ = i mm AD = i mmA circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of 270 mm, a wall thickness of 15 mm, and a length of 5.5 m. The pipe supports a compressive load of 635 kN. After the temperature of the pipe drops 45°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer: (a) 8 = i AD= i mm mm7. A Brinell hardness measurement, using a 10 mm diameter indenter and a 500 kg load, produces an indentation of 2.5 mm on a steel plate. (a) Determine the Brinell hardness number (HB) of the steel plate; and (b) Approximate the tensile strength of the steel.
- 3. Find the thickness of a cast iron cylinder 250 mm in diameter to carry a pressure of 0.7 N/mm2. Take maximum tensile stress for cast iron as 14 MPa. [Ans. 6.25 mm]A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of 265 mm, a wall thickness of 11 mm, and a length of 4.6 m. The pipe supports a compressive load of 640 kN. After the temperature of the pipe drops 35°C, determine:(a) the axial deformation of the pipe.(b) the change in diameter of the pipe.An applied torque results in a shear strain (y) of 3.75 x 103 in a solid circular steel shaft. At this strain, a portion of the shaft cross- section yields as shown in Figure 2. Determine the magnitude of the applied torque. Take G = 80 GPa and yy = 2.8125 x %3D 10-3 FIGURE 2: Plastic zone 50 mm 200 mm Elastic core
- Find the Total Hardness (meq/L)A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of 215 mm, a wall thickness of 12 mm, and a length of 5.4 m. The pipe supports a compressive load of 600 kN. After the temperature of the pipe drops 40°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer:An aluminum pipe must not stretch more than 0.05in when it issubjected to a tensile load. Knowing that E=10.1x10^6psi and that the maximum allowable normal stress is 14ksi, determine (a) the maximum allowable length of the pipe, and (b) the required area of the pipe if the tensile load is 127.5kips.