Question

A strip footing of 2 m width is founded at a depth of 1 m below the ground surface. According to Terzaghi, the net ultimate bearing capacity in kN/m2 is(ϕ = 400, c = 0, NC = 95.7 ,Nq= 81.3, Nγ = 100.4, γ = 17 kN/m3 )

Answer 1

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Answer 2

Answer: The net ultimate bearing capacity = 3088.9 $kN/m^2$

Given,

ϕ = 40

c = 0

${ N }_{ c }$ = 95.7

${ N }_{ q }$ = 81.3

${ N }_{ \gamma }$ = 100.4

                    $\gamma \quad =\quad 17\quad \frac { KN }{ { m }^{ 3 } }$

Strip footing width = 2 m

Strip footing depth = 1 m

Solution:

Terzaghi bearing capacity for strip footing,

                    ${ Q }_{ U }\quad =\quad c{ N }_{ c }\quad +\quad \gamma D{ N }_{ q }\quad +\quad 0.5\gamma B{ N }_{ \gamma }$

                    $=\quad \left( 0\quad \times \quad 95.7 \right) \quad +\quad \left( 17\quad \times \quad 1\quad \times \quad 18.3 \right) \quad +\quad \left( 0.5\quad \times \quad 17\quad \times \quad 2\quad \times \quad 100.4 \right)$

                            = 3088.9 $kN/m^2$