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Sheet metal of two different alloys is produced by rolling to 0.1 mm thickness. You must select one of these alloys for a sheet forming oper
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Sheet metal of two different alloys is produced by rolling to 0.1 mm thickness. You must select one of these alloys for a sheet forming operation. To make the selection, tensile samples are cut from each alloy at 0o , 45o , and 90o to the rolling direction. The initial gauge section of each tensile sample is 0.75 mm width. After subjecting all samples to the same tensile load, th
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Physics
4 years
2021-07-26T23:49:01+00:00
2021-07-26T23:49:01+00:00 1 Answers
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Answer: Alloy A is best chosen for the sheet forming operation
Explanation:
taking both alloy A and B into consideration;
For alloy A;
the true strain ration, R₀ = width strain / thickness strain
R₀ = in (0.65/0.75) / in (0.092/0.1) = 1.716
at 45⁰ and 90⁰, the true strain ratio becomes;
R45⁰ = in (0.63/0.75) / in (0.093/0.1) = 2.4025
R90⁰ = in (0.67/0.75) / in (0.087/0.1) = 0.8099
where R(avg) = (R₀+2Ras+Rao) / A = (1.716+2(2.4025)+0.8099) = 3.0340
R(avg) = 3.0340
For alloy B;
R₀ = in (0.7/0.75) / in (0.082/0.1) = 0.3477
R45⁰ = in (0.69/0.75) / in (0.083/0.1) = 0.4475
R90⁰ = in (0.71/0.75) / in (0.078/0.1) = 0.2206
R(avg) = (R₀+2Ras+Rao) / A = (0.3477+2(0.4475)+0.2206) = 0.365825
R(avg) = 0.365825
comparing both we have that,
R(avg) for allow A > R(avg) for allow B
∴ Alloy A is the best to be selected for sheet formation operation.
cheers i hope this helps!!!1