2. The breaking stress of aluminium is 7.5 x 10' N/m². Find the greatest length of aluminium wire that can hang vertically without breaking. Density of aluminium is 2.7 x 10 kg m [2836 m]
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- 3. A steel bolt through a 31-in long aluminum tube has the nut turned on until it just touches the end of the tube. No stress is introduced on the bolt or the tube. The temperature of the assembly is raised from 70 to 81 degrees Fahrenheit. The cross-sectional area of the bolt is 0.09 sq. inch and the cross-sectional area of the tube of 0.30 sq. inch. a. Find the thermal deformation (in inches) of the steel bolt. (Write your answer to 6-decimal places.) b. Find the thermal deformation (in inches) of the aluminum tube. (Write your answer to 6-decimal places.) c. Find the stress (in psi) induced in the steel bolt by the temperature change. d. Find the stress (in psi) induced in the aluminum tube by the temperature change.The brass shell (αb511.6 3 10–6/°F) is fully bonded to the steel core (αs56.5 3 10–6/°F). Determine the largest allowable increase in tem-perature if the stress in the steel core is not to exceed 8 ksi.Policie Current Attempt in Progress A steel [E = 29900 ksi, a = 6.5x10-6/°F] bar is held between two rigid supports. The bar is stress free at a temperature of 72°F. The bar is then heated uniformly. If the yield strength of the steel is 45 ksi, determine the temperature at which yield first occurs. Answer: T= i °F
- 6 A steel pipe with a 50 mm outside diameter and a 43.75 'mm inside diameter surrounds a solid brass rod 37.5 mm in diameter as shown. Both materials are joined to a rigid cover plate at each end. The assembly is free to expand longitudinally. The assembly is stress free at a temperature of 27°C. For steel, Young's modulus is 200 GN/m², and the coefficient of linear thermal expansion is 11.7x10-6 1/°C. For brass, Young's modulus is 93.33 GN/m², and the coefficient of linear thermal expansion is 1.872 x 10-5 1/°C. What is the stress in the steel tube when the temperature is raised to 121°C? brass rod (solid) 37.5 mm diameter steel tube 50 mm outside diameter 43.75 mm inside diameter200 mm 3 kg/m Al. 3280mm 350 160 mm 80 mm Find maximum stresses in steel and aluminumA point in a body is subjected to a state of stress as shown where the magnitudes of the stress components are o = 55 MPa and o = 75 MPa. Find the normal strain in the z direction ( €) if the body is made of Titanium Ti-6AI-4V B. (assuming that the material behaves linearly elastic). note: e-6= 10 OB Select one: O 6.00e-5 O2.25e-4 O-3.90e-4 O-1.65e-4 O 1.64e-4 O 0.000 3:11 PM O G 4) ENG 1/31/2021
- Problem 1 An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. Aluminum Steel A=800mm2 A=1000mm2 Bronze A=700mm? 4P 2P 500mm 600mm 700mm 1. What is the maximum value of P that will not exceed the axial stress bronze of 105 MPa? 2. What is the maximum value of P that will not exceed the axial stress in aluminum of 90 MPa? 3. If P=10KN, what is the axial force to be carried by the aluminum in KN? 4. If P is 5KN, what is the axial stress of steel?3) An bronze rod is rigidly attached between a aluminum rod and a steel rod as shown. Axial loads are applied at the positions indicated. Find the maximum allowable value of P that will not exceed a stress in steel of 140MPA, in aluminum of 90MPA or in bronze of 100MPа. Aluminum A = 500mm? Bronze A = 200mm? Steel A = 150mm2 2P ЗР L st = 1.2m L br = 2m Lal = 3.5ma)Determine the change in temperature. Indicate increase or decrease in temperature.b)Determine the axial deformation of the steel rod at A (in inches).c)Determine the axial deformation of the steel rod at C (in inches)
- The polyvinyl chloride bar is subjected to an axial force of 900 lb. If it has the original dimensions shown, determine the value of Poisson’s ratio if the angle u decreases by Δu = 0.01° after the load is applied. Epvc = 800(103) psi.Q.1 The yield stresses (oy) have been measured using steel and aluminum specimens of various grain sizes, as follows: Material D (µm) σΥ (MPa) Steel 60.5 160 136 128 Aluminum 11.1 235 100 223 (a) Determine the coefficients o and kỵ in the Hall- Petch for these two materials. (b) Determine the yield stress in each material for a grain size of d=26 um.A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of 265 mm, a wall thickness of 11 mm, and a length of 4.6 m. The pipe supports a compressive load of 640 kN. After the temperature of the pipe drops 35°C, determine:(a) the axial deformation of the pipe.(b) the change in diameter of the pipe.