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Example 17.1 · Cantilever wall

Example 17.1 of Das & Sivakugan (2017), Principles of Foundation Engineering, solved in Rischio and compared with the source's answers.

Source: Das, B. M., & Sivakugan, N. (2017). Principles of Foundation Engineering, SI edition, 9th ed. Cengage Learning. Example 17.1.
ID: das-pfe9-17-1

Open in the studioA copy, in your account

The model as the editor draws it, with what governs its result.

Source vs Rischio

	Source	Rischio	Difference
Overturning	2.98	2.98	0.0 %
Sliding	2.73	2.73	−0.1 %
Bearing capacity	3.0	2.93	−2.3 %

The book takes the depth factors for Df/B > 1, though here Df/B < 1, and seems to use B′ for B in them.

Every check

What the engine checks in this model, against Rischio's default limits.

OverturningPasses	$\mathrm{FS} = 2.98$	$\ge 2.0$	Passes
SlidingPasses	$\mathrm{FS} = 2.73$	$\ge 1.5$	Passes
Bearing capacityFails	$\mathrm{FS} = 2.93$	$\ge 3.0$	Fails
EccentricityPasses	$e = 0.41\,\mathrm{m}$	$\le 0.667\,\mathrm{m}$	Passes

The model

The example's data, element by element, as the model holds it.

WallWall

Unit weight $\gamma$: 23.58 kN/m³
Embedment depth $D$: 1.5 m

StemWall element · Trapezoid

Position from the toe $x$: 0.7 m
Height $H$: 6 m
Bottom width $b_1$: 0.7 m
Top width $b_2$: 0.5 m
Back face batter $\omega$: 0 °

BaseWall element · Rectangle

Position from the toe $x$: 0 m
Height $H$: 0.7 m
Width $B$: 4 m

Ground surfaceBackfill

Backfill slope $\beta$: 10 °

BackfillBackfill stratum

Thickness $t$: 6.7 m
Unit weight $\gamma$: 18 kN/m³
Cohesion $c'$: 0 kPa
Friction angle $\varphi'$: 30 °

Foundation soilFoundation stratum

Unit weight $\gamma$: 19 kN/m³
Saturated unit weight $\gamma_\mathrm{sat}$: 20 kN/m³
Cohesion $c'$: 40 kPa
Friction angle $\varphi'$: 20 °

How it's calculated