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

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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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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