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
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Chapter2: Loads On Structures
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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
Transcribed Image Text: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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