Question

1.7 If the state of stress at any point in a body is given by the equations: $\sigma_{xx} = ax + by + cz$ $\tau_{xy} = k$ $\sigma_{yy} = dx^2 + ey^2 + fz^2$ $\tau_{yz} = Ly + mz$ $\sigma_{zz} = gx^3 + hy^3 + iz^3$ $\tau_{zx} = nx^2 + pz^2$ What equations must the body-force intensities $F_x$, $F_y$ and $F_z$ satisfy?

          1.7 If the state of stress at any point in a body is given by the equations:
$\sigma_{xx} = ax + by + cz$
$\tau_{xy} = k$
$\sigma_{yy} = dx^2 + ey^2 + fz^2$
$\tau_{yz} = Ly + mz$
$\sigma_{zz} = gx^3 + hy^3 + iz^3$
$\tau_{zx} = nx^2 + pz^2$
What equations must the body-force intensities $F_x$, $F_y$ and $F_z$ satisfy?

1.7 If the state of stress at any point in a body is given by the equations:
σxx = ax + by + cz
τxy = k
σyy = dx^2 + ey^2 + fz^2
τyz = Ly + mz
σzz = gx^3 + hy^3 + iz^3
τzx = nx^2 + pz^2
What equations must the body-force intensities Fx, Fy and Fz satisfy?

Added by Edward V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

02/26/2023

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These forces can be expressed as the product of the body-force densities and the corresponding unit vectors. Show more…

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1.7 If the state of stress at any point in a body is given by the equations: σₓₓ = z³ + Kq + xe σyy = dx² + ey² + fz² σzz = gx³ + hy³ + iz³ τxy = k τyz = Ly + mz τzx = nx² + pz² What equations must the body-force intensities Fx, Fy, and Fz satisfy?