Using (8.9), find the values of λ such that the following equations have nontrivial solutions, and for each λ , solve the equations. (See Example 4.) − ( 1 + λ ) x + y + 3 z = 0 , x + ( 2 − λ ) y = 0 , 3 x + ( 2 − λ ) z = 0.
Using (8.9), find the values of λ such that the following equations have nontrivial solutions, and for each λ , solve the equations. (See Example 4.) − ( 1 + λ ) x + y + 3 z = 0 , x + ( 2 − λ ) y = 0 , 3 x + ( 2 − λ ) z = 0.
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Q1 The SPT records versus depth are given in table below. Find qan for the raft 12%
foundation with BxB-10x10m and depth of raft D-2m, the allowable
settlement is 50mm.
Elevation, m 0.5 2
2 6.5 9.5 13 18 25
No.of blows, N 11 15 29 32 30 44
0
estigate shear
12%
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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