Question
a.
\(\begin{bmatrix} \overline{X}\\ \overline{Y}\\ \overline{Z} \end{bmatrix} = \begin{bmatrix} σ_{xx} & τ_{xy} & τ_{xz} \\ τ_{yx} & σ_{yy} & τ_{yz} \\ τ_{zx} & τ_{zy} & σ_{zz} \end{bmatrix} \begin{bmatrix} l \\ m \\ n \end{bmatrix}\)
b.
\(\begin{bmatrix} \overline{X}\\ \overline{Y}\\ \overline{Z} \end{bmatrix} = \begin{bmatrix} σ_{zz} & τ_{xy} & τ_{xz} \\ τ_{yx} & σ_{yy} & τ_{yz} \\ τ_{zx} & τ_{zy} & σ_{xx} \end{bmatrix} \begin{bmatrix} l \\ m \\ n \end{bmatrix}\)
c.
\(\begin{bmatrix} \overline{X}\\ \overline{Y}\\ \overline{Z} \end{bmatrix} = \begin{bmatrix} σ_{xx} & τ_{zz} & τ_{xz} \\ τ_{yx} & σ_{yy} & τ_{yz} \\ τ_{zx} & τ_{zy} & σ_{zz} \end{bmatrix} \begin{bmatrix} l \\ m \\ n \end{bmatrix}\)
d.
\(\begin{bmatrix} \overline{X}\\ \overline{Y}\\ \overline{Z} \end{bmatrix} = \begin{bmatrix} σ_{xx} & τ_{yy} & τ_{xz} \\ τ_{yx} & σ_{yy} & τ_{yz} \\ τ_{zx} & τ_{yy} & σ_{zz} \end{bmatrix} \begin{bmatrix} l \\ m \\ n \end{bmatrix}\)
Posted under Geotechnical Engineering
Interact with the Community - Share Your Thoughts
Uncertain About the Answer? Seek Clarification Here.
Understand the Explanation? Include it Here.
Q. The matrix form of the boundary condition equations is _____________
Similar Questions
Explore Relevant Multiple Choice Questions (MCQs)
Q. The partial differential of normal stress in y-direction in terms of effective stress is given by __________
View solution
Q. The equilibrium equation in X-direction in terms of effected stress for a saturated soil body is given by __________
View solution
Q. The equilibrium equation in Y-direction in terms of effected stress for a saturated soil body is given by __________
View solution
Q. The equilibrium equation in Z-direction in terms of effected stress for a saturated soil body is given by __________
View solution
Q. The following diagram represents the contact pressure of __________
View solution
Q. The following diagram represents the contact pressure of __________
View solution
Q. The following diagram represents the contact pressure of __________
View solution
Q. In simple radial distribution, the three stress components σr, σθ and τrθ are given by ___________
View solution
Q. In simple radial distribution, if \(σ_r=K \frac{Q cosθ}{r},\) then the value of K is ________
View solution
Q. When the ground is horizontal, \(α=\frac{π}{2}\) in constant K. What will be the radial stress σᵣ due to vertical line load?
View solution
Q. The radial stress component σᵣ due to inclined line load of intensity Q per unit length is given by ___________
View solution
Q. When the ground is horizontal, \(α=\frac{π}{2}\) in constant K. What will be the radial stress σᵣ due to inclined line load at the horizontal ground surface?
View solution
Q. For any position of point P subtending angle α with AB, the vertical stress is given by___________
View solution
Q. For point P under the support A, the vertical stress is given by __________
View solution
Q. For point P under the support B, the vertical stress is given by __________
View solution
Q. For a linearly variable infinite load, for a point P, the vertical stress σz is _________
View solution
Q. For a symmetrically distributed triangular load, under the centre of the triangular load, the vertical stress at any point at a depth z is given by ___________
View solution
Q. For a symmetrically distributed triangular load, the shear stress τxz at any point at a depth z is given by ___________
View solution
Q. For a triangular and uniformly distributed semi-infinite loads, the shear stress τxz in the plane xz is ___________
View solution
Q. For a load intensity of q=20kN/m, find the shear stress τxz at a depth 5m from the given diagram.
View solution
Recommended Subjects
Are you eager to expand your knowledge beyond Geotechnical Engineering? We've handpicked a range of related categories that you might find intriguing.
Click on the categories below to discover a wealth of MCQs and enrich your understanding of various subjects. Happy exploring!
