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Example 17.3 · Gravity wall

Example 17.3 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 17.3.
ID: das-pfe9-17-3

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	3.04	3.04	0.0 %
Sliding	3.05	3.04	−0.2 %
Maximum contact pressure	174.24 kPa	174.13 kPa	−0.1 %
Minimum contact pressure	42.86 kPa	42.89 kPa	+0.1 %

Every check

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

OverturningPasses	$\mathrm{FS} = 3.04$	$\ge 2.0$	Passes
SlidingPasses	$\mathrm{FS} = 3.04$	$\ge 1.5$	Passes
Bearing capacityPasses	$\mathrm{FS} = 3.67$	$\ge 3.0$	Passes
EccentricityPasses	$e = 0.35\,\mathrm{m}$	$\le 0.583\,\mathrm{m}$	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

Wall bodyWall element · Trapezoid

Position from the toe $x$: 0.8 m
Height $H$: 5.7 m
Bottom width $b_1$: 2.4 m
Top width $b_2$: 0.6 m
Back face batter $\omega$: 15 °

BaseWall element · Rectangle

Position from the toe $x$: 0 m
Height $H$: 0.8 m
Width $B$: 3.5 m

Ground surfaceBackfill

Backfill slope $\beta$: 0 °

BackfillBackfill stratum

Thickness $t$: 6.5 m
Unit weight $\gamma$: 18.5 kN/m³
Cohesion $c'$: 0 kPa
Friction angle $\varphi'$: 32 °

Foundation soilFoundation stratum

Unit weight $\gamma$: 18 kN/m³
Saturated unit weight $\gamma_\mathrm{sat}$: 20 kN/m³
Cohesion $c'$: 30 kPa
Friction angle $\varphi'$: 24 °

How it's calculated