Steel railroad reels 15 m long are laid with a clearance of 7 mm at a temperature of 25°C. At what temperature will the rails just touch? What stress would be induced in the rails at that temperature if there were no initial clearance? Assume a = 11.7 µm/(m-°C) and E = 200 GPa.
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- The normal strain in the 45n direction on the surface of a circular tube (sec figure) is 880 × 10 when the torque T = 750 lb-in. The tube is made of copper alloy with G = 6.2 × 106 psi and y = 0.35. If the outside diameter d2of the tube is 0.8 in., what is the inside diameter dt? If the allowable normal stress in the tube is 14 ksi, what is the maximum permissible inside diameter d?A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
- A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.A rubber ball (sec figure) 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 stress and strain in the ball, (b) If the strain must be limited to 0.425, Find the minimum required wall thickness of the ball.Problem 2: Steel railroad reels 12 m long are laid with a clearance of 2.5 mm at a temperature of 20°C. At what temperature, will the rails just touch? What stress would be induced in the rails at that temperature if there were no initial clearance? Assume a = 11.7 um/(m-°C) and E = 200 GPa.
- 1) Steel railroad reels 10 m long are laid with a clearance of 3 mm at a temperature of 15°C. At what temperature will the rails just touch? What stress would be induced in the rails at that temperature if there were no initial clearance? Assume a = 11.7 µm/(m-°C) and E = 200 GPa.A rod is 3m long at a temperature of 15°C. Find the expansion of the rod, when the temperature is raised to 95°C. If this expansion is prevented, find the stress induced in the material of the rod. Take E=1x10° N/mm? and a=0.000012/"C.The horizontal steel rod, 2.5 m long and 1200 mm² in cross-sectional area, is secured between two walls as shown in the figure. If the rod is stress-free at 20°C, compute the stress when the temperature has dropped to -20°C. Assume that (1) the walls do not move and (2) the walls move together a distance 0.5mm. Use α= 11.7x10-6/°C and E=200GPa.
- The bronze bar 3.42 m long with a cross-sectional area of 627 mm2 is placed between two rigid walls. At a temperature of -14 °C, there is a gap Δ = 2.36 mm, as shown in the figure. Find the temperature at which the compressive stress in the bar will be 34.22 MPa. Use α = 18 × 10-6 /°C and E = 80.32 GPa. Round off your answer to two decimal places.Steel railroad rails 10 m long are laid with end-to- end clearance of 3 mm at a temperature of 15°C. (a) At what temperature will the rails just come in contact? (b) What stress would be induced in the rails at that temperature if there were no initial clearance? T Use a=11.7x10-6 / °C and E =200 GPa.The steel rails of a railroad are 12 m with a clearance of 3 mm at 15 oC. Calculate: 1.1 The change in temperature that will cause the rails to touch. 1.2 The stresses that would be induced at this new temperature if there were no initial clearance (E = 200 GPa and α = 12 × 10-6 /oC).