Problem 2-23 - Mat 5 "Bronze" =...

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MACHINE DESIGN - An 15-1-1 PROBLEM 2-23 _____ Statement: Refer to the tables of material data in Appendix C and calculate the specific stiffness of aluminum, titanium, gray cast iron, ductile iron, bronze, carbon steel, and stainless steel. Rank them in increasing order of this property and discuss the engineering significance of these data. Units: GPa 10 9 Pa . Mg 10 3 kg . Given: Material Modulus of Elasticity Density Mat 1 "Aluminum" E 1 71.7 GPa . ρ 1 2.8 Mg . m 3 . Mat 2 "Titanium" E 2 113.8 GPa . 2 4.4 Mg . m 3 . Mat 3 "Gray cast iron" E 3 103.4 GPa . 3 7.2 Mg . m 3 . Mat 4 "Ductile iron" E 4 168.9 GPa . 4 6.9 Mg . m 3 . Mat 5 "Bronze" E 5 110.3 GPa . 5 8.6 Mg . m 3 . Mat 6 "Carbon steel" E 6 206.8 GPa . 6 7.8 Mg . m 3 . Mat 7 "Stainless steel" E 7 189.6 GPa . 7 7.8 Mg . m 3 . i 12 , 7 .. Solution: See Mathcad file P0223. 1. Calculate the specific stiffness for each material as described in Section 2.1. E' i E i i E' i 10 6 s 2 m 2 . 25.6 25.9 14.4 24.5 12.8 26.5 24.3 = Mat i "Aluminum" "Titanium" "Gray cast iron" "Ductile iron" "Bronze" "Carbon steel" "Stainless steel" = 2. Rank them in increasing order of specific stiffness.
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Unformatted text preview: Mat 5 "Bronze" = E' 5 10 6 s 2 m 2 . 12.8 = Mat 3 "Gray cast iron" = E' 3 10 6 s 2 m 2 . 14.4 = Mat 7 "Stainless steel" = E' 7 10 6 s 2 m 2 . 24.3 = P 0223.mcd MACHINE DESIGN - An 15-1-2 Mat 4 "Ductile iron" = E' 4 10 6 s 2 m 2 . 24.5 = Mat 1 "Aluminum" = E' 1 10 6 s 2 m 2 . 25.6 = Mat 2 "Titanium" = E' 2 10 6 s 2 m 2 . 25.9 = Mat 6 "Carbon steel" = E' 6 10 6 s 2 m 2 . 26.5 = 3. Bending and axial deflection are inversely proportional to the modulus of elasticity. For the same shape and dimensions, the material with the highest specific stiffness will give the smallest deflection. Or, put another way, for a given deflection, using the material with the highest specific stiffness will result in the least weight. P 0223.mcd...
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This note was uploaded on 04/26/2010 for the course MAE 3242 taught by Professor N/a during the Spring '10 term at University of Texas-Tyler.

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Problem 2-23 - Mat 5 "Bronze" =...

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