For material, the modulus of rigidity is 100 GPa and the modulus of elasticity is 250 GPa. The value of the Poisson's ratio is
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- 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.An arbitrary material has an elastic modulus of 118 GPa. How much tensile force was applied to a 100 mm-long cylindrical bar that was originally 10 mm in diameter to reduce the area by 0.1%? (NOTE: The material has a Poisson’s ratio of 0.29)A plastic rod with length and radius of 300 mm and 30 mm, respectively. If an axial force of 400 N is applied, estimate the length and diameter change. Young’s modulus and Poisson’s ratio of the material are 2.7 Gpa and 0.4 respectively.
- A thin sheet of rubber in the form of a square is uniformly deformed into the parallelogram shape as shown in the figure. All edges remain the same length a, as the sheet deforms. Determine the average normal strain along the diagonal AC. Length a is in inches. Answer in 4 decimal placesA circular bar of magnesium alloy is 750mm long. The stress-strain diagram for the material is shown in the figure. The bar is loaded in tension to an elongation of 6.0mm, and then the load is removed. (a)What is the permanent set of the bar? (b)If the bar is reloaded, what is the proportional limit? (High: Use the concepts illustrated in figures below)1. The stress-strain diagram of a structural material is given below. Find the following: (A) Elastic modulus. (B) Johnson’s Apparent Elastic Limit. (C) Yield Strength at 0.4% offset. (D) Modulus of Resilience. (E) Modulus of Toughness.
- An air compressor used by a mechanic for filling air in tyre is cylindrical in shape which has internal diameter and thickness of 600mm and 20mm respectively. If the compressor is subjected to an internal pressure of 30N/mm2 determine the increase in volume of the cylinder. The cylindrical compressor has a length of 2m and the material used m manufacturing the cylinder has elasticity,E=2*105N/mm2 and Poisson's ratio,1/m= 0.3.Mechanics of Deformable Bodies A circular tube is subjected to torsion by torques T applied at the ends. The bar is 0.75 m long and the inside and outside diameter are 35 mm and 46 mm respectively. It is determined by measurement that the angle of twist is 3.20 degrees when the torque is 600 N·m. (a) Calculate the maximum shear stress in the tube. (b) Calculate the shear modulus of elasticity. (c) Calculate the maximum shear strain in radians.Consider a cylindrical specimen of a steel alloy (Please see the figure) 0.33 in. in diameter and 3.15 inches long that is pulled in tension. solve:1. Its elongation when a load of 14,500 lb is applied2. Tensile stress point (stress and strain values)3. Ultimate stress point (stress and strain values)4. Fracture point (stress and strain values)
- The pressure of a liquid is increased from 60 N/cm^2 to 100 N/cm^2 and volume decreases by 0.2 percent. Determine the bulk modulus of elasticity in N/cm^2.1 Proof that a solid aluminum block of 4 mm x 3 mm x 3 mm, such as shown in FigureQ1 (a), can float on water at 20 °C due to the effect of surface tension. The density ofthe aluminum block is 2700 kg/m3. Determine the contact angle. 2. A solid alloy cylinder having a diameter of 6.48 cm slides downward at a terminalvelocity of V through a vertical pipe. The downward motion is resisted by an oil filmbetween the piston and the pipe wall. Determine the oil viscosity when the velocityV is 5 m/s. The inner diameter of the vertical pipe is 6.5 cm, and the alloy density is3500 kg/m3.24. Expressed as the ratio of total deformation to the initial dimension of the material body in which forces are being applied. a. Elasticity b. Dislocation c. Stress d. Strain 25. The stress in an elastic material is: a. Inversely proportional to the materials yield strength b. Inversely proportional to the force acting c. Proportional to the displacement d. Inversely proportional to the strain