2. A sheet of material is subjected to a two-dimensional stress system in the x-y plane. At a given point, an element with its sides parallel to x and y axes is found to have a shear strain of 1x10 , while an element at 45 to the first has a shear strain of 4x10 (Fig 2). a) Calculate the maximum shear strain at this point. (Hint: you need the correct strain transformation Equation for shear strain). b) If the shear modulus 80 MPa, find the difference between the two principal stresses. y4x10 710

2. A sheet of material is subjected to a two-dimensional stress system in the x-y plane. At a given point, an element with its sides parallel to x and y axes is found to have a shear strain of 1x10 , while an element at 45 to the first has a shear strain of 4x10 (Fig 2). a) Calculate the maximum shear strain at this point. (Hint: you need the correct strain transformation Equation for shear strain). b) If the shear modulus 80 MPa, find the difference between the two principal stresses. y4x10 710

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

2. A sheet of material is subjected to a two-dimensional stress system in the x-y plane. At a given point, an
element with its sides parallel to x and y axes is found to have a shear strain of 1x10, while an element
at 45' to the first has a shear strain of 4x10 (Fig 2).
a) Calculate the maximum shear strain at this point. (Hint: you need the correct strain transformation
Equation for shear strain).
b) If the shear modulus 80 MPa, find the difference between the two principal stresses.
=4x104
7=10
Fig. 2

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