Verified examples

Worked examples from published sources, solved in Rischio: the source's answers beside the engine's, and where they differ, why.

Each one is a worked example from a published source, built as a Rischio model with its data and solved by the same engine as the studio. Each has its own page, where you can open it in the studio. The same examples are tests in the engine’s code.

Retaining wallsdas-pfe9-17-1
Example 17.1 · Cantilever wall
Das & Sivakugan (2017), Principles of Foundation Engineering, SI edition, 9th ed.
Overturning
2.98 · 2.98
Sliding
2.73 · 2.73
Bearing capacity
3.0 · 2.93
Retaining wallsdas-pfe9-17-3
Example 17.3 · Gravity wall
Das & Sivakugan (2017), Principles of Foundation Engineering, SI edition, 9th ed.
Overturning
3.04 · 3.04
Sliding
3.05 · 3.04
Maximum contact pressure
174.24 · 174.13 kPa
Minimum contact pressure
42.86 · 42.89 kPa
Footingsdas-pfe9-6-3
Example 6.3 · Strip footing
Das & Sivakugan (2017), Principles of Foundation Engineering, SI edition, 9th ed.
Allowable load per metre, FS 3
621 · 622 kN/m
Footingsdas-pfe9-6-4
Example 6.4 · Square footing, water table
Das & Sivakugan (2017), Principles of Foundation Engineering, SI edition, 9th ed.
Allowable load, FS 3
667.2 · 666.9 kN
Footingsdas-pfe9-6-7
Example 6.7 · Eccentric strip footing
Das & Sivakugan (2017), Principles of Foundation Engineering, SI edition, 9th ed.
Ultimate load per metre
5 260 · 5 261 kN/m
Footingsdas-pfe9-9-2
Example 9.2 · Elastic settlement
Das & Sivakugan (2017), Principles of Foundation Engineering, SI edition, 9th ed.
Settlement at the centre
12.4 · 12.6 mm
Pilesdas-pfe9-12-1
Example 12.1 · Driven pile in sand
Das & Sivakugan (2017), Principles of Foundation Engineering, SI edition, 9th ed.
Toe capacity
829 · 829 kN
Pilesdas-pfe9-12-2
Example 12.2 · Driven pile in clay
Das & Sivakugan (2017), Principles of Foundation Engineering, SI edition, 9th ed.
Toe capacity
132.9 · 132.9 kN
Pilesdas-pfe9-12-7
Example 12.7 · α method, layered clay
Das & Sivakugan (2017), Principles of Foundation Engineering, SI edition, 9th ed.
Shaft capacity
1 050 · 1 050 kN
Pilesdas-pfe9-12-22
Example 12.22 · 3 × 4 group in clay
Das & Sivakugan (2017), Principles of Foundation Engineering, SI edition, 9th ed.
Group capacity
14 297 · 14 297 kN

Example	Reference	Compared	Source	Rischio	Difference
Example 17.1 · Cantilever wall`das-pfe9-17-1`	Das & Sivakugan (2017), Principles of Foundation Engineering	Overturning	2.98	2.98	0.0 %
		Sliding	2.73	2.73	−0.1 %
		Bearing capacity	3.0	2.93	−2.3 %
Example 17.3 · Gravity wall`das-pfe9-17-3`	Das & Sivakugan (2017), Principles of Foundation Engineering	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 %
Example 6.3 · Strip footing`das-pfe9-6-3`	Das & Sivakugan (2017), Principles of Foundation Engineering	Allowable load per metre, FS 3	621 kN/m	622 kN/m	+0.1 %
Example 6.4 · Square footing, water table`das-pfe9-6-4`	Das & Sivakugan (2017), Principles of Foundation Engineering	Allowable load, FS 3	667.2 kN	666.9 kN	0.0 %
Example 6.7 · Eccentric strip footing`das-pfe9-6-7`	Das & Sivakugan (2017), Principles of Foundation Engineering	Ultimate load per metre	5 260 kN/m	5 261 kN/m	0.0 %
Example 9.2 · Elastic settlement`das-pfe9-9-2`	Das & Sivakugan (2017), Principles of Foundation Engineering	Settlement at the centre	12.4 mm	12.6 mm	+1.6 %
Example 12.1 · Driven pile in sand`das-pfe9-12-1`	Das & Sivakugan (2017), Principles of Foundation Engineering	Toe capacity	829 kN	829 kN	0.0 %
Example 12.2 · Driven pile in clay`das-pfe9-12-2`	Das & Sivakugan (2017), Principles of Foundation Engineering	Toe capacity	132.9 kN	132.9 kN	0.0 %
Example 12.7 · α method, layered clay`das-pfe9-12-7`	Das & Sivakugan (2017), Principles of Foundation Engineering	Shaft capacity	1 050 kN	1 050 kN	0.0 %
Example 12.22 · 3 × 4 group in clay`das-pfe9-12-22`	Das & Sivakugan (2017), Principles of Foundation Engineering	Group capacity	14 297 kN	14 297 kN	0.0 %

On each row: the source · Rischio

About these examples

Each example cites its source as you’d cite it in a paper (authors or organization, year, title, edition or report number, and the example’s number) so you can check it in your own copy. Each page links to the source: a book to where you can buy it, a report or manual from a public agency to its official PDF. We publish the source’s final answers beside Rischio’s, with the difference, a drawing of our model and, where the two differ, a note in our own words. The problem’s data stays inside the model you open in the studio. We don’t reproduce the source’s text, figures or solution steps, and we use worked examples only, never end-of-chapter problems. No link earns us a commission.

Rischio isn’t affiliated with the authors or publishers of these sources. If you hold the rights to one and want an example removed, write to hello@rischio.io.