A conical section is fabricated from pure aluminum. It is of circular cross section having diameter D = 0.5x0.5. The small end is located at x₁ = 25 mm and the large end at x₂ = 125 mm. The end temperatures are T₁ = 600 K and T₂ = 400 K while the lateral surface is well insulated. The aluminum has thermal conductivity k=236 W/m/K. T₂ T₁ x1 -x₂² 1

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There is a gap c = 1mm between the rods in the picture, the temperature changes evenly quantitatively ΔT = 1.9°C. Calculate the normal force on the cross section of the rods. E1 = 200 GPa, L = 1.0 m, E2 = 80 GPa, A1 = 5000 mm2, A2 = 2000 mm2, α1 = 12*10-61/°C, α2 = 8*10-61/°C

Rigid bar ABC is supported by two aluminum alloy (E = 10,000 ksi) rods as shown below. The horizontal distance between rods (1) and (2) is a = 150 in. Rod (1) has a length of L₁ = 99 in. and a cross-sectional area of A₁ = 0.55 in.². Rod (2) has a length of L₂ = 96 in. and a cross-sectional area of A₂ = 0.95 in.². Rigid bar ABC is to remain horizontal under a load of P = 35 kips. Determine the distance x from joint A to the location of load P so that bar ABC remains horizontal. L Answer: X= i (1) eTextbook and Media Save for Later x in. B (2) L2 Attempts: 0 of 5 used Submit Answer

The depicted in the figure below has a length of 0.635m and a diameter of 50mm. The bar is made of a copper alloy with an elastic modulus E = 110 GPa and a linear thermal expansion coefficient a = 17.5 × 10-6/°C. The bar is initially positioned at room temperature with a gap of 0.2mm between end A and the rigid wall. The bar's right end at B is supported by an elastic spring of negligible thermal expansion coef- ficient and a spring constant of k = 210 × 10°N/m. A small gap maintained between the copper bar and the smooth surrounding sleeve facilitates frictionless motion as the bar thermally expands. Questions: (a) Compute the temperature increase ATer required to close the 0.2 mm gap. (b) Compute the axial force R developed in the copper bar due to a temperature increase of AT = 27°C. State the compatibility condition and solve it for R. (c) Compute the compressive (engineering) stress o developed within the copper bar due to the axial force R. Express your answer in MPa. (d) Compute…

This question was answered for me but the second answer is not clear how he/she got 0.55 and 0.45 for the rods.