1. A cantilever of square cross section as shown was made of mild carbon steel SAE 1020, as rolled, and was designed to support a static load W = 15 lb. After the beam was installed, it was discovered that the weight W was not static but vibrated, so that actually the beam was subjected to a repeated load. Measurement showed that the weight rose and fell a distance h equal to 0.05 inch. Shortly thereafter the beam fractured at the fillet which had a machined radius of 1/32 in. (a) Make calculations to show and state your conclusion whether or not the beam should have been expected to fail. (b) for the same data, design a new cantilever with the same dimensions except with a fillet radius r= 1/8 in. Determine whether a carbon steel would be necessary, and if so, its SAE or AISI no. 1/2" 3/4".

1. A cantilever of square cross section as shown was made of mild carbon steel SAE 1020, as rolled, and was designed to support a static load W = 15 lb. After the beam was installed, it was discovered that the weight W was not static but vibrated, so that actually the beam was subjected to a repeated load. Measurement showed that the weight rose and fell a distance h equal to 0.05 inch. Shortly thereafter the beam fractured at the fillet which had a machined radius of 1/32 in. (a) Make calculations to show and state your conclusion whether or not the beam should have been expected to fail. (b) for the same data, design a new cantilever with the same dimensions except with a fillet radius r= 1/8 in. Determine whether a carbon steel would be necessary, and if so, its SAE or AISI no. 1/2" 3/4".

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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