Question

1. The stress state at a point in a body is given in MPa: [sigma] = egin{bmatrix} 2 & -1 & 3 \ -1 & 4 & 0 \ 3 & 0 & -1 end{bmatrix} (c) Find the traction vector of a point parallel to the plane x_1 - 2x_2 + 3x_3 = 4. (d) Determine the magnitude of the normal and shearing stresses on this plane.

          1. The stress state at a point in a body is given in MPa:
[sigma] = egin{bmatrix} 2 & -1 & 3 \ -1 & 4 & 0 \ 3 & 0 & -1 end{bmatrix}
(c) Find the traction vector of a point parallel to the plane x_1 - 2x_2 + 3x_3 = 4.
(d) Determine the magnitude of the normal and shearing stresses on this plane.

1. The stress state at a point in a body is given in MPa:
[sigma] = eginbmatrix 2 -1 3 -1 4 0 3 0 -1 endbmatrix
(c) Find the traction vector of a point parallel to the plane x1 - 2x2 + 3x3 = 4.
(d) Determine the magnitude of the normal and shearing stresses on this plane.

Added by Amanda W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/21/2023

Step 1

The stress tensor is a 3x3 matrix, so we can arrange the values as follows: σ = [[2, -1, -1], [4, 0, 3], [0, -1, 0]] b) The normal vector to the plane x1 - 2x2 + 3x3 = 4 is given by the coefficients of x1, x2, and x3, which are (1, -2, 3). We normalize Show more…

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