A straight steel rod of circular cross-section and length 72 cm rotates about an axis through one end perpendicular to its length. Calculate the speed of rotation that will produce a maximum ensile stress of 55.85 MPa in the rod and the elongation of the rod at this speed. The specific weight of steel is 7833.413 kg/m³ and Young's modulus is 16.67 x 10¹0 N/m².

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.2.6P: A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius...
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5. A straight steel rod of circular cross-section and length 72 cm rotates about an axis through one
end perpendicular to its length. Calculate the speed of rotation that will produce a maximum
tensile stress of 55.85 MPa in the rod and the elongation of the rod at this speed. The specific
weight of steel is 7833.413 kg/m³ and Young's modulus is 16.67 x 10¹01
N/m².
[Ans. 2190 rpm, 0.018 cm]
Transcribed Image Text:5. A straight steel rod of circular cross-section and length 72 cm rotates about an axis through one end perpendicular to its length. Calculate the speed of rotation that will produce a maximum tensile stress of 55.85 MPa in the rod and the elongation of the rod at this speed. The specific weight of steel is 7833.413 kg/m³ and Young's modulus is 16.67 x 10¹01 N/m². [Ans. 2190 rpm, 0.018 cm]
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