Retaining & slopes · Embedded walls & sheeting
Braced excavation: apparent pressure & strut loads calculator
Peck apparent pressure for sand, soft or stiff clay and strut loads by tributary area.
Standard: Terzaghi & Peck apparent pressure diagrams
Open the live calculator → All retaining & slopes calculators
Inputs in the worked example
The live calculator starts with these values; change any of them and every result, check and diagram updates instantly.
| Input | Value | Unit |
|---|---|---|
| Excavation depth | 9 | m |
| Soil | Sand: 0.65 Ka γ H | |
| Unit weight | 19 | kN/m³ |
| φ′ (sand) | 32 | ° |
| su (clay) | 35 | kPa |
| Strut levels | 3 | |
| Horizontal strut spacing | 4 | m |
Worked example — results
| Result | Value | Unit |
|---|---|---|
| Ka | 0.307 | |
| Apparent pressure (max) | 34.15 | kPa |
| Total thrust (rect/trapezoid) | 307.4 | kN/m |
| Average strut load Fh sh/ns | 409.8 | kN |
| Stability number γH/su | 4.89 |
- ✓ Clay stability number < 6 (base heave risk)
Method, formulas and assumptions
- Ka = TAN(RADIANS(45-32/2))^2 = 0.30726
- Apparent pressure (max) = CHOOSE(1,0.65*0.30726*19*9,MAX(0.3*19*9,19*9*(1-4*35/(19*9))),0.3*19*9) = 34.152 kPa
- Total thrust (rect/trapezoid) = IF(1=1,34.152*9,34.152*9*0.75) = 307.37 kN/m
- Average strut load Fh sh/ns = 307.37*4/3 = 409.82 kN
- Stability number γH/su = 19*9/35 = 4.8857
Related retaining & slopes calculators
- Sheet pile / embedded wall — Embedment depth, anchor force and maximum bending moment for cantilever or single-anchored walls in granular…
- Secant pile wall — Embedment and bending from the embedded-wall analysis, overlap and interlock thickness at the toe allowing…
- Embedded retaining wall on elasto-plastic springs (staged, propped) — A sheet-pile, contiguous or secant wall modelled as a beam on springs that stay between active and passive…
- Basal heave of an excavation in clay (Bjerrum–Eide) — FS = Nc su/(γH + q) with Skempton's Nc for the excavation geometry.
- Lateral earth pressure — Active, passive or at-rest pressure diagram with water table, surcharge and cohesion.
- Seismic earth pressure (Mononobe–Okabe) — Static and seismic active coefficients, thrusts and overturning moment on a retaining wall.
For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.