The components of plane stress at a critical point on a steel shell are shown in the figure below. The yield stress (Gy) of the material in simple tension is 250 MPa. 60 MPa 40 MPa 70 MPa (a) Determine the magnitude of the principal stresses and maximum shear stress. Sketch these on appropriately orientated elements. (b) Calculate the factor of safety against yield on the basis of i. Tresca failure criterion ii. Von Mises failure criterion

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.3P
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The components of plane stress at a critical point on a steel shell are shown in the figure below.
The yield stress (Gy) of the material in simple tension is 250 MPa.
60 MPa
40 MPa
70 MPa
(a) Determine the magnitude of the principal stresses and maximum shear stress. Sketch
these on appropriately orientated elements.
(b) Calculate the factor of safety against yield on the basis of
i.
Tresca failure criterion
ii. Von Mises failure criterion
Transcribed Image Text:The components of plane stress at a critical point on a steel shell are shown in the figure below. The yield stress (Gy) of the material in simple tension is 250 MPa. 60 MPa 40 MPa 70 MPa (a) Determine the magnitude of the principal stresses and maximum shear stress. Sketch these on appropriately orientated elements. (b) Calculate the factor of safety against yield on the basis of i. Tresca failure criterion ii. Von Mises failure criterion
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for question(b),could u pls write it more clearly?\

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