A straight wire 15 m long is subjected to tensile stress of 2000 kgf/cm². Elastic modulus is 1.5x106 kgf/cm². Coefficient of linear expansion for the material is 16.66x 10-6/°F. The temperature change (in °F) to produce the same elongation as due to the 2000 kgf/cm² tensile stress in the material is:
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- A steel rod 15 m long is at a temperature of 15°C. The values of a = 12 × 10-6/°C and E = 200 GN/m² are adopted. When the temperature is raised to 65°C, what is the free expansion of the length; and if this expansion of the rod is fully prevented, what is the temperature stress produced? (a) 5 mm and 120 MN/m². (b) 9 mm and 120 MN/m² (c) 5 mm and 150 MN/m² (d) 9 mm and 150 MN/m²A steel bar 30 mm in diameter and 2 m long is encased in a shell of cast iron 5 mm thick. Compute the stress in each material, in MPa, if a compressive axial load of 150 kN is applied to the assembly. For steel, E = 200 MPa and for cast iron, E = 100 %3D GPa ( Select the correct response(s): 29.96 MPa 76.39 MPa 212.21 MPa 106.10 MPa 136.32 MPa 152.79 MPa 59.92 MPa 272.84 MPaA high-density polyethylene [E = 121 ksi and a = 61 x 10-6/°F] block (1) is positioned in a fixture. The block is 2.2 in. by 2.7 in. by 29 in. long. At room temperature, a gap of 0.11 in. exists between the block and the rigid support at B. Determine: (a) the normal stress o in block (1) caused by a temperature increase of 98°F. (b) the normal strain & in block (1) at the increased temperature. [ Answerrs: (a) o = (b) = 0.11 in. 29 in. Ans: (a) - 264.3725 με. (b) 3793.1033 psi.
- At an axial load of 22 kN, a 15-mm-thick x 45-mm-wide polyimide polymer bar elongates 4.0 mm while the bar width contracts 0.15 mm. The bar is 260-mm long. At the 22-kN load, the stress in the polymer bar is less than its proportional limit. Determine Poisson's ratio. O 0.175 O 0.217 O 0.297 0.235 O 0.280The brass shell (αb511.6 3 10–6/°F) is fully bonded to the steel core (αs56.5 3 10–6/°F). Determine the largest allowable increase in tem-perature if the stress in the steel core is not to exceed 8 ksi.A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of 185 mm, a wall thickness of 5 mm, and a length of 5.0 m. The pipe supports a compressive load of 675 kN. After the temperature of the pipe drops 39°C, determine:(a) the axial deformation of the pipe.(b) the change in diameter of the pipe.
- A brass wire of diameter d = 2.33 mm is stretched tightly between rigid supports so that the tensile force is T = 93 N (see figure). T The coefficient of thermal expansion for the wire is 19.5 x 106/°c, and the modulus of elasticity is E = 110 GPa. (a) What is the maximum permissible temperature drop (in °C) if the allowable shear stress in the wire is 60 MPa? (Enter the magnitude.) °C (b) At what temperature change (in °C) does the wire go slack? °CA steel rod Is stretched two rigid walls and carries a tensile load of 6000 N to 20°C. Coefficient of thermal expansion a = 11.7 x 10-5 /C and modulus of elastičity 200000 MPa. 7. Which of the following gives the minimum diameter of the rod if the allowable stress is not to exceed 140 MPa at -25°C. a. 15 mm C. 16 mm b. 17 mm d. 18 mm 8. Which of the following gives the total elongation of the steel rod if it has a length of 1.5m. a. 1.00 mm С. 1.02 mm b. 1.04 mm d. 1.06 mm 9. Which of the following gives the strain of the steel rod. a. 0.00067 b. 0.00071 C. 0.00069 d. 0.00073A metal bar of length 100 mm is inserted between increased by 10°C. If the coefficient of thermal expansion is 12 × 106 per °C and the Young's two rigid supports and its temperature is increased by 10°C. If the coefficient of thermal expansion is 12 × 10-6 per °C and the Youna's modulus is 2 x105 MPa, the stress in the bar is (a) zero (c) 24 MPa (b) 12 MPa (d) 2400 MPa
- Q.7 A cylindrical shell 4 m in diameter, is made of 20 mm thick steel plates. The efficiency of longitudinal joint and circumferential joint are 0.88 and 0.7 respectively. If the maximum permissible tensile stress in the plate is 120 MPa, the safe pressure for the shell is (a) 2.12 MPa (b) 0.84 MPa (c) 1.05 MPa (d) 1.68 MPaA solid 45 mm diameter beryllium copper (E = 131 GPa; α = 17.0 × 10−6 /°C) rod is stress free when securely attached to the unyielding supports shown in the figure below. If the compressive normal stress in the rod must not exceed 450 MPa, what is the maximum temperature increase (rounded down to the nearest degree) that can be allowed for the rod? Use L1 = 300 mm.Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. P = 10 kN a. What is the stress (MPa) in the Bronze material? b. What is the stress in Aluminum in MPa? c. What is the stress in Steel in MPa?