A steel bar is 10mm diameter and 4m long. If the temperature drops by 12°C and a = 11.7 um/m°C. what is the bar's thermal deformation?
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- A aluminum plate 0.5 cm thick is to withstand a force of 50,000 N with no permanent deformation. If the aluminum has a yield strength of 125 Mpa, what is the minimum width of the plate?A railroad track is laid at a temperature of 10℃ with gaps of 0.008 m between the ends of the rails. The rails are 20 m long. Coefficient of thermal expansion is 11.25 x 10-6/℃. Modulus of elasticity = 200,000 MPa. a.) Give the actual deformation of the rails that will result from a temperature of 65℃, b.) Give the corresponding strain due to this deformation, and c.) Give the thermal stress if they are prevented from buckling.A mild steel specimen originally 300 mm long is pulled in tension with a stress of 500 MPa. If the deformation is entirely elastic, calculate the resultant elongation? The modulus of elasticity of steel is 200 GPa.
- Consider an S-590 alloy component as shown in following figure that is subjected to a stress of 200 MPa (29,000 psi). At what temperature will the rupture lifetime be 509 h?A cylindrical specimen of a hypothetical metal alloy is stressed in compression. If its original andfinaldiameters are 20.000 and 20.026mm, respectively, and its final length is 74.96 mm, compute its originallength if the deformation is totally elastic. The elastic and shear moduli for this alloy are 105 GPa and 39.7 GPa,respectively.A steel rod, which is free to move, has a length of 200 mm and diameter of20 mm at a temperature of 15°C. If the rod is heated uniformly to 115°C,determine the length and the diameter of this rod to the nearest micron atthe new temperature if the linear coefficient of thermal expansion of steel is12.5 * 10-6 m/m/°C. Is there a stress on the rod at 115°C?
- A steel plate used for polymer forming is to be bent into a circular shape having an inside radius of 10 m. What maximum thickness can be used for the plate if the normal stress is not to exceed 267 MPa? Assume that the modulus of elasticity for the steel is 201 GPa.steel rod, which is free to move, has a length of 200 mm and diameter of20 mm at a temperature of 15°C. If the rod is heated uniformly to 115°C,determine the length and the diameter of this rod to the nearest micron atthe new temperature if the linear coefficient of thermal expansion of steel is12.5 X 10-6 m/m/°C. Is there a stress on the rod at 115°C?A cylindrical aluminum alloy rod with a 0.5 in. diameter is subjected to ten- sion. Determine the magnitude of the load required to produce a 10-4 in. change in diameter if the deformation is entirely elastic. Assume a Young’s modulus of 11 * 106 psi and a Poisson’s ratio of 0.33.
- A rectangular block of aluminum 30 mm * 60 mm * 90 mm is placed in a pressure chamber and subjected to a pressure of 100 MPa. If the modulus of elasticity is 70 GPa and Poisson’s ratio is 0.333, what will be the decrease in the longest side of the block, assuming that the material remains within the linear elastic region? What will be the decrease in the volume of the block?For a bronze alloy, the stress at which plastic deformation begins is 275 MPa (40,000 psi), and the modulus of elasticity is 115 GPa (16.7 x106 psi). (a) What is the maximum load that may be applied to a specimen with a cross-sectional area of 325 mm2 (0.5 in.2) without plastic de- formation? (15pts)(b) If the original specimen length is 115 mm (4.5 in.), what is the maximum length to which it may be stretched without causing plastic deformation?(15pts)