show solution of: A liquid compressed in a container has a volume of 1 liter at a pressure of 1 MPa and a volume of 0.995 liters at a pressure of 2 MPa. The bulk modulus of elasticity of the liquid is 200 MPa
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show solution of: A liquid compressed in a container has a volume of 1 liter at a pressure of 1 MPa and a volume of 0.995 liters at a pressure of 2 MPa. The bulk modulus of elasticity of the liquid is 200 MPa
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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.A steel block has a length of 80 mm, width of 60 mm and thickness of 40 mm. The block is subjected to a uniform hydrostatic pressure of 180 kPa on all its faces. Modulus of elasticity E=200 GPa, Poisson’s ratio ?= 0.29. a.) Determine the bulk modulus of steel, b.) Determine the dilatation (e) of the material if e is the negative of the ratio of load to bulk modulus., and c.) Determine the change in volume of the steel block.The volume of a liquid is reduced by 1.2% by increasing the pressure from 0.40 MPa to 12.3 MPa. Estimate the bulk modulus of elasticity of the liquid.
- A liquid compressed in a container has a volume of 1 liter at a pressure of 1 MPa and a volume of 0.995 liters at a pressure of 2 MPa. The bulk modulus of elasticity of the liquid is ans. 200MPaA rubber ball is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity E = 3.7 MPa and Poisson's ratio v = 0.48. (a) Determine the maximum membrane stress and strain in the ball.A steel rod, 12mm in diameter and 150mm long was subjected to a tensile test. After the test, the length increases to 150.40mm. The material remains within the linear elastic region and its modulus of elasticity is 200,000 MPa. Determine the force, in Newton (N), applied to the test. different solution please
- A specimen is originally 300mm long and has a diemter of 11mm and it subjected to a force of 4kN. When the force is increased from 4kN to 7.5kN the specimen elongates 0.225mm. Determine the modulus of elasticity for the material if it remains linear elastic.A plastic bar ACE having two different solid circular cross-sections is held between rigid supports, as shown in the figure. The diameters in the left-and right-hand parts are 50 mm and 75 mm. respectively. The corresponding lengths are 225 mm and 300 mm. Also, the modulus of elasticity Eis 6.0 GPa. and the coefficient of thermal expansion a is 100 x10-6 l°C. The bar is subjected to a uniform temperature increase of 30°C. a.Calculate the following quantities: (I) the compressive force Nin the bar. (2) the maximum compressive stress at and (3) the displacement Se, Df point C. b.Repeat part (a) if the rigid support at A is replaced by elastic support having spring constant k = 50 MN/m (see figure part b; assume that only the bar ACE is subject to the temperature increase).A liquid compressed in cylinder has a volume of 0.025 m3 at 25 kg/m2 and a volume of 0.020 m3 at 125 kg/m2, the bulk modulus of elasticity is:
- 2. A rigid steel container is partially filled with a liquid at 15 atm. The volume of the liquid is 1.23200 L. At a pressure of 30 atm, the volume of the liquid is 1.23100 L. Find the average bulk modulus of elasticity of the liquid over that given range of pressure if the temperature after compression is allowed to return to its initial value. What is the coefficient of compressibility (β)?A steel rod, 12mm in diameter and 150mm long was subjected to a tensile test. After the test, the length increases to 150.40mm. The material remains within the linear elastic region and its modulus of elasticity is 200,000 MPa. Determine the force, in Newton (N), applied to the test.The failure stress of a homogeneous steel bar having a diameter of 10 mm is 250 MPa. Using a factor of safety of 2.0 and if the elastic mođulus and length of the bar is 200 GPa and 2 m respectively, calculate the elongation in mm of the bar corresponding to the maximum load it can support. (А) 5 (в) 2.5 1.25 D) 0.625