Question Description: This question is of materials in civil engineering and needs to be solved ASAP.
Suppose you were asked to select a material for a spherical pressure vessel to he used in an aerospace application. The stress in the vessel wall is a=£§ 21' where p is the internal pressure, r the outer radius of the sphere, and t the wall thickness. The mass of the vessel is m = 4.1: r2230 , where p is the material density. The operating stress of the vessel will always be 0' erg—y S I Where 5 is the safety factor. 1.1) Show that the minimum mass of the pressure vessel will be m = 25 21* p r3 i 0'}, ' 1.2} Given the following table, select the alloy that will produce the lightest vessel. Explain your reasoning and calculations. 1.3} Using the same table. select the alloy that will produce the minimum cost vessel. Explain your reasoning and calculations. Ti-S A1- 2.5 Sn 327 4.46 (titanium alloy)
Course Hero Answer & Explanation:
1.1 SOLUTION is ATTACHED
1.2 titanium alloy will produce the lightest vessels
1.3 1040 carbon steel will produce minimum COST vessels.
Image transcription text
m = ks Gy m = k 7 - 8 x 0 '63 60 0 1 ) D cost - o. oosigk for 1040 carbonalloy 11 cost = 7-8 x3. 70 k = 0.14 k stainless steel 20 5 ii ) Cost = 2. 73 x 3 X. K = 0. 056K. 3003 H14. 145 iv )cost : 4.46 x 15 K = 0.08 K. 827 1040 Carbon steel will Produce minimumn cost vessel