
physics mech/ SOM 31-60
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30 questions
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- Q1An aluminum pipe has a length of 60 m at a temperature of 10°C. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. At what temperature will the aluminum pipe be 15 mm longer than the steel pipe? Assume that the coefficients of thermal expansion of aluminum and steel are 23 x 10^-6/°C and 12 x 10^-6/°C, respectively.38.3 °C40.3°C33.5 °C45.2 °C30s
- Q2What is the minimum solid shaft diameter that can be used for the rotor of a 4.5 kW motor operating at 3500 rpm, if the maximum shear stress for the shaft is 60 MPa?12 mm20 mm16 mm10 mm30s
- Q3A simply supported beam 8 m long, has a uniformly distributed load of 3 kN/m over its entire length. Find the maximum moment of the beam.24 kN-m32 kN-m36 kN-m32 kN-m30s
- Q4The propeller of a ship are connected to a A-36 steel shaft that is 60 m long and has an outer diameter of 340 mm and inner diameter of 260 mm. If the power output is 4.5 MW when the shaft rotates at 20 rad/s, determine its angle of twist. For A-36 shaft, shear modulus is 75 GPa.13.8°11.9°12.6°14.7°30s
- Q5A concrete column 300 mm x 300 mm in section, is reinforced by 10 longitudinal 20 mm diameter round steel bars. The compressive load in the column is 450 kN. Find the compressive stress produced in the concrete. For steel, E = 200 GN/m^2 and for concrete, E = 15 GPa.4.69 MPa3.11 MPa3.49 MPa4.21 MPa30s
- Q6A steel bar with cross section of 100 mm x 20 mm is 450 mm in length. The bar is subjected to an axial compressive load of 265 kN on its cross section. Assume modulus of elasticity of steel is 210 GPa and Poisson's ratio is 0.3. Find the final thickness of the bar,20.0063 mm20.0042 mm20.0038 mm20.0055 mm30s
- Q7A structural material has a modulus of elasticity of 8 x 10^6 psi and a modulus of rigidity of 3.2 x 10^6 psi. Find the value of the Poisson's ratio0.350.400.250.3030s
- Q8A prismatic bar with a circular cross section is loaded by tensile forces P 65 kN. The bar has length L = 1.75 m and diameter d = 32 mm. It is made of aluminum alloy with modulus of elasticity E = 75 GPa and Poisson's ratio is 1/3. Find the percentage decrease in the cross sectional area0.067%0.091%0.086%0.075%30s
- Q9A 4-m long simply supported beam has a section modulus of 1408 x 10^3 mm^3. The allowable stress in the beam is not to exceed 100 MPa. The maximum distributed load that the beam can carry is most nearly,40.5 kN/m60.6 kN/m50.7 kN/m70.4 kN/m30s
- Q10A circular rod is stretched by a force of 3 kN. Solve the diameter of the rod if the stress is not to exceed 153 MPa10 mm12 mm8 mm5 mm30s
- Q11A metal tube with inside diameter of 100mm is subjected to a tensile lad of 500kN. Find the outside diameter if the ultimate tensile stress is 600MPa and a factor of safety is 5.241mm142mm124mm214mm30s
- Q12Hexagonal nuts for 6.25mm diameter bolts have a height of 5.5mm. If the ultimate strength of the nut material in shear is 103MPa, what is the most nearly the maximum allowable shear force on the nut thread using a safety factor of 5?0.8kN0.72kN1.1kN1.0kN30s
- Q13In designing a cylindrical pressure tank lm in diameter, a factor of safety 2.5 is used. The cylinder is made of steel (σyield = 200MPa), and will contain pressures up to 7MPa. What is the required wall thickness based on circumferential stress condition?88mm22mm44mm120mm30s
- Q14A steel ring is rotated about its diameter until the stress becomes 140MPa. Find the peripheral velocity.133.5m/s135.3m/s313.5m/s331.5m/s30s
- Q15A 200 meter cable is suspended vertically. At any point along the cable, the strain is proportional to the length of the cable below the point. If the strain at the top of the cable is 0.001, determine the total elongation of the cable0.15m0.10m0.20m0.05m30s