Calc 1 - = - 0 A Bro2 = ro BA (Equ 5) Substitute B and A...

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Determine the thickness of the hot chamber. Assumption: Chamber acts as a sealed pressure vessel. No energy is lost (Equilibrium). Properties of material is constant No external force Static and 1-D problem P outside = P atmosphere Properties: I will fill in later Calculation of thickness of hot chamber of Stirling engine Using a = - σr A Br2 (Equ 1) Reference Mechanics of Engineering of Materials, = + σθ A Br2 (Equ 2) PP Benham, RJ Crowford and CG Armstrong At r = 0.045 m, =- σr PMax , safety factor of 4 = × PMax PMax Safety factor = . × PMax 189 478 3 4 = . 757 913 2 Pa = - . ∴σr 757 913 2 Pa Substitute into equation 1 at r = 0.045 m - . = - . 757 913 2 A B0 0452 (Equ 3) Also σ t = Ultimate tensile strength at r = 0.045 m Substitute into equation 2 at r = 0.045 m = + . 100 000 000 A B0 0452 (Equ 4) Equation 3 + equation 4 = 99 242 087 2A = A 49 621 043 Substitute A into equation 4 = + . 100 000 000 49 621 043 B0 0452 = . B 102 017 4 At r outer , σ r = 0, substitute into equation 1
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Unformatted text preview: = - 0 A Bro2 = ro BA (Equ 5) Substitute B and A into equation 5 = . ro 102 017 449 621 043 = . ( ) ro 0 045342 m = - Thickness ro ri = .- . 0 045342 0 045 = . ( ) 0 000342 m = . ( ) 0 34 mm Tolerance: Due to the thickness of the chamber being very small, it was decided to have changed it to 1mm. Therefore the thickness of the chamber is now 1mm. The tolerance of the chamber is - . + . 1 0 4 0 5 . Other analysis needed to be don e Thermal fatigue o To ensure the chamber can withstand the constant thermal expansion and shirking of the material due to the fluctuation of temperature. Surface fatigue wear o To calculate the life cycle of the chamber to withstand the required life of (insert life cycle) Thermal shock o To ensure the chamber does not experience cracking due to rapid increase of heat. Fretting fatigue wear (is it the same as surface fatigue wear?) o...
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Calc 1 - = - 0 A Bro2 = ro BA (Equ 5) Substitute B and A...

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