A 12 mm diameter rod has an axial strain of 0.0009. If the metal rod has a Poisson's Ratio of 0.25, what is the transverse deformation in the rod (change in diameter) in mm?
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- Calculate the normal strain in the X-directionTwo triangular wedges are glued together as shown in the figure. The stress acting normal to the interface, o, is MPa. 100 MPa 100 MPa on 45% 100 MPa -100 MPaA bronze rod is rigidly attached between an aluminum rod and a steel rod as shown in the figure below. Axial loads are applied at the positions indicated. a) Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in bronze of 100 MPa, or in aluminum of 90 MPa. b) Determine the deformation of the bronze rod if the value of P is 22.50 KN. The moduli of elasticity are 200 GPa for steel, 80 GPa for bronze and 70 GPa for aluminum.
- A plate in equilibrium is subjected to uniform stresses along its edges with magnitude o = 30 %3D MPa and ow = 50 MPa as shown in the figure. %3D = 50 MPa %3D O = 30 MPa XX ple The Young's modulus of the material is 2 x 1011 N/m2 and the Poisson's ratio is 0.3. If o is negligibly small and assumed to be zero, then the strain Ezz isTwo triangular wedges are glued together as shown in the following figure. The stress acting normal to the interface, o is MPa. 100 MPa 100 MPa 100 MPa 100 MPaQ.3. (30%) A circular aluminum tube subjected to T pure torsion by torques T has an outer radius r2 equal to 2 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 500x10-6 rad, what is the shear strain y1 at the inner surface? (b) If the maximum allowable rate of twist (0) is 0.15°/m and the maximum shear strain is to be kept at 500x10-6 rad by adjusting the torque T, what is the minimum required outer radius (r2 )min?
- The value of strain if stress is 35 MPa and Youngs modulus 65 MPaIn a tensile test on a metal specimen having a cross section 20 mm by 10 mm elastic breakdown occurred at a load of 70 000 N. A thin plate madec from the same material is to be subjected to loading such that at a certain point in the plate the stresses are o,=-70 N/mm², 7.y= 60 N/mm² and o. Determine the maximum allowable values of o, using the Tresca and von Mises theories of elastic breakdown. Ans. 259 N/mm² (Tresca), 294 N/mm² (von Mises).Strain = 600 Stress = Strain = 500 Stress = 400 500 300 400 300 200 200 100 100 0.000 0.002 0.004 0.006 Strain 0.00 0.04 0.08 0.12 0.16 0.20 Strain Stress (MPa)
- A steel section having a cross section of 20 mm x 30 mm is subjected to an axial force of 240 kN. The steel section has produces a strain of 0.002. If it has a value of Poisson's ratio of 0.30. Which of the following gives the bulk modulus of the steel section. a. 133333 MPa b. 166667 MPa c. 111111 MPa d. 144444 MPaA steel rod with a cross-sectional area of 0.25in2 is stretched between two fixed points. The tensile force in the rod at 70°F is 1200lb. If a = 6.5x10-6/°F and E = 29x106 psi, What will be the stress at 0°F? At what temperature will the stress be zero? A bronze bar 3m long with a cross-sectional area of 320mm2 is placed between two rigid walls. At ta temperature of -20°c, the gap A = 25mm. Find the temperature at which the compressive stress of the bar will be 35 MPa. Use a = 18x10-6 m/ (m. °C) and E = 80GPA.The following shaft is composed of two materials, both rigidly bonded. The data is provided in the table: Determine: The maximum torque that can be applied based on the maximum stresses of each material. The total deformation of the shaft with the torque from the previous section. The maximum torque that can be applied if the maximum deformation of the shaft is 2.50 rad.