A shear stress T,y acts in a two-dimensional field in which the maximum allowable shear stress isdenoted by Tmax and the major principal stress by ơj. Derive, using the geometry of Mohr's circle ofstress, expressions for the maximum values of direct stress which may be applied to the x and yplanes in terms of the parameters given.Ans.TmaxTmaxmaxmax

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shear stress 7y acts in a two-dimensional field in which the maximum allowable shear stress is enoted by Tmax and the major principal stress by oj. Derive, using the geometry of Mohr's circle of tress, expressions for the maximum values of direct stress which may be applied to the x and y lanes in terms of the parameters given. Ins. Imax max max

shear stress 7y acts in a two-dimensional field in which the maximum allowable shear stress is enoted by Tmax and the major principal stress by oj. Derive, using the geometry of Mohr's circle of tress, expressions for the maximum values of direct stress which may be applied to the x and y lanes in terms of the parameters given. Ins. Imax max max

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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For the following data, using Mohr's circle of stress and trigonometry, (a) Find the principle stresses and show their sense in properly oriented element and (b) find the maximum (principle) shear stresses with the associated normal stresses and show the results on a properly oriented element.
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Figure 1 shows the elastically deformed shape AB'C'D' of a thin plate subjected to plane stress conditions. The elasticity modulus and Poisson's ration are E=210 GPa and v=0.33 respectively. Determine the direction (angle 0) of the maximum shear stress on the point 0(0.5, 0.5). C'(1.09, 1.08) D'(0.01, 1.03) C(1.00, 1.00) D(0, 1) A(0, 0) O(0.5, 0.5) B(1, 0) B'(1.05, 0.06)
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