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 0.280
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- Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.At an axial load of 22 kN, a 15-mm-thick x 35-mm-wide polyimide polymer bar elongates 4.2 mm while the bar width contracts 0.25 mm. The bar is 215-mm long. At the 22-kN load, the stress in the polymer bar is less than its proportional limit. Determine Poisson's ratio. O 0.366 O 0.336 EBA O 0.473 O 0.229 O 0.427At an axial load of 22 kN, a 40-mm-wide by 20-mm-thick polyimide polymer bar elongates 3.2 mm while the bar width contracts 0.18 mm. The bar is 240 mm long. At the 22-kN load, the stress in the polymer bar is less than its proportional limit. Determine (a) the modulus of elasticity. (b) Poisson's ratio. (c) the change in the bar thickness. Answers: (a) E= (b) v = (c) Athickness i i i GPa mm
- At an axial load of 22 kN, a 45-mm-wide by 15-mm-thick polyimide polymer bar elongates 2.8 mm while the bar width contracts 0.25 mm. The bar is 190 mm long. At the 22-kN load, the stress in the polymer bar is less than its proportional limit. Determine (a) the modulus of elasticity. (b) Poisson's ratio. (c) the change in the bar thicknessStrain, Deformation and Thermal Stress Steel Rod A = 600 mm? L= 4.0 m E= 200 GPa Aluminum Rod A = 900 mm? a = 11.70 um/(m°C) L= 3.0 m E = 70 GPa %3D 2. Determine the stress in a = 23 um/(m°C) the aluminum rod if the 3 m 3 m 3 m temperature of steel is increased by 40 degrees A D Celsius at the same time the 50 KN load is applied to the beam. F = 50 KN Strain, Deformation and Thermal Stress · 600 KN The 600 KN load is horizontal when it is first 1.00 m applied to the columns. After some time, the 600 KN load is still horizontal after deformation took place for all the columns. If the diameter of all the columns is 50 mm. Modulus of elasticity of steel is 200 GPa and modulus of elasticity of bronze is 100 GPa. Compute the strain of the steel. 0.25 m Bronze Steel BronzeAt an axial load of 20 kN, a 35-mm-wide by 10-mm-thick polyimide polymer bar elongates 2.7 mm while the bar width contracts 0.15 mm. The bar is 240 mm long. At the 20-kN load, the stress in the polymer bar is less than its proportional limit.Determine(a) the modulus of elasticity.(b) Poisson’s ratio.(c) the change in the bar thickness.
- At an axial load of 22 kN, a 15-mm-thick × 50-mm-wide polyimide polymer bar elongates 5.7 mm while the bar width contracts 0.15 mm. The bar is 245-mm long. At the 22-kN load, the stress in the polymer bar is less than its proportional limit. Determine Poisson’s ratio.At an axial load of 25 kN, a 50-mm-wide by 15-mm-thick polyimide polymer bar elongates 3.1 mm while the bar width contracts 0.26 mm. The bar is 220 mm long. At the 25-kN load, the stress in the polymer bar is less than its proportional limit Determine (a) the modulus of elasticity. (b) Poisson's ratio. (c) the change in the bar thickness. Answers: (a) E- (b) v- (c) Audness GPa mmA 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 steel wire with a diameter of d = 1/16” is bent around a cylindrical drum with a radius ofR = 36”.(a) Determine the maximum normal strain in the wire.(b) What is the minimum acceptable radius of the drum if the maximum normal strain mustremain below yield? Consider an elastic modulus of 30000 ksi and yield stress of 100ksi.(c) If R = 36”, what is the maximum acceptable diameter of the wire if the maximum normalstrain must remain below yield?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 mm