Question: At a point in an elastic continuum the matrix representation of the infinitesimal strain tensor referred to axes Ox 1 x 2 x 3 is

At a point in an elastic continuum the matrix representation of the infinitesimal strain tensor referred to axes Ox1x2x3 is

E= E = 1 -3 2] 1 -2 4 -3 2-2

If i, j and k are unit vectors in the direction of the Ox1x2x3 coordinate axes, determine the normal strain in the direction of

n = (i - j + 2k) and the shear strain between the directions n and (-i+j+ 2k) m

Using matrix notation, the normal strain is En, and the shear strain between two directions is mTEn.

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