HSE-217 · Lesson 6 of 12 · 30 min

Sloping and benching

Sloping is the simplest protective system: cut the walls back at an angle flat enough that the soil cannot slide. It needs no special equipment, no installation crew and no rental. It also needs a lot of room, moves a lot of soil and only works where the soil type is known and stays the same. This lesson covers the required slopes, how to calculate the space and volume a sloped excavation needs, benching, and the conditions that make sloping the wrong choice.

How sloping works

A vertical trench wall fails because the weight of soil behind it exceeds the soil's ability to resist sliding along a diagonal plane. Cutting the wall back to a flatter angle removes the wedge of soil that would otherwise slide, and leaves a face whose angle is within what the soil can support. The weaker the soil, the flatter the slope must be. Slopes are written as a ratio of horizontal distance to vertical rise, or as an angle from the horizontal or the vertical. Because different documents use different conventions, always check which way a ratio is written.

  • A slope of 1 horizontal to 1 vertical (1H:1V) is 45 degrees from horizontal.
  • 3/4H:1V is about 53 degrees from horizontal, steeper than 1:1.
  • 1.5H:1V is about 34 degrees from horizontal, flatter than 1:1.
  • 3H:1V is about 18 degrees from horizontal, very flat.

Required slopes

Ontario's O. Reg. 213/91, section 234(2), allows an excavation's walls to go without a support system if they are sloped as follows:

Ontario slope requirements under O. Reg. 213/91 s. 234(2)(e) to (g). Alberta uses 30° from vertical within 1.5 m of the bottom for hard and compact soil, 45° from vertical within 1.5 m of the bottom for soil likely to crack or crumble, and 45° from vertical from the bottom for soft, sandy or loose soil.
Soil typeRequired slopeWhere the slope starts
Type 1 or Type 2No steeper than 1 vertical to 1 horizontal (45°)Within 1.2 m of the bottom; the lowest 1.2 m may be vertical
Type 3No steeper than 1 vertical to 1 horizontal (45°)From the bottom of the excavation
Type 4No steeper than 1 vertical to 3 horizontal (about 18°)From the bottom of the excavation
Three trench cross-sections drawn to the same scale and depth. Type 1 or 2 soil has a vertical lower wall up to 1.2 m high with 1:1 slopes above. Type 3 soil is sloped 1:1 from the bottom. Type 4 soil is sloped 1 vertical to 3 horizontal from the bottom, producing a very wide excavation.
Ontario slope profiles for a 3 m deep excavation. Weaker soil needs a much wider cut.

Slopes steeper than these, or slopes in excavations where the soil type is uncertain, require a support system or a professional engineer's written opinion. The regulation also requires the 1 m clear area at the top of the slope, so the spoil pile sits further back again.

Calculating width and volume

The top width of a sloped trench with a flat bottom is the bottom width plus the horizontal run of each slope. For a slope ratio \( k \) (horizontal per unit vertical) on both sides over a sloped height \( h \):

\[W_{top} = W_{bottom} + 2 k h\]

The cross-sectional area of a trapezoidal trench is the average of the top and bottom widths multiplied by the depth, and the volume is that area multiplied by the length. These numbers matter because they decide whether the slope fits on the site, how much spoil must be stored and how much backfill and compaction will be needed afterwards.

Worked problem

Top width for each soil type

A trench must be 3.0 m deep with a 1.0 m wide bottom. Find the top width if it is sloped in (a) Type 2 soil, using the permitted 1.2 m vertical lower wall, (b) Type 3 soil and (c) Type 4 soil.

Show solution
  1. (a) Type 2: the lowest 1.2 m is vertical, so the sloped height is 3.0 − 1.2 = 1.8 m at 1:1. \( W = 1.0 + 2 \times 1 \times 1.8 = 4.6 \) m.
  2. (b) Type 3: slope from the bottom at 1:1 over 3.0 m. \( W = 1.0 + 2 \times 1 \times 3.0 = 7.0 \) m.
  3. (c) Type 4: slope from the bottom at 3:1 over 3.0 m. \( W = 1.0 + 2 \times 3 \times 3.0 = 19.0 \) m.
  4. Add the 1 m clear area on each side before any spoil, and the footprint grows by another 2 m.

Answer: 4.6 m, 7.0 m and 19.0 m. In Type 4 soil, sloping a 3 m trench takes a strip of ground nearly 20 m wide.

Worked problem

Spoil volume for a sloped trench

Using the Type 3 trench above (3.0 m deep, 1.0 m bottom, 7.0 m top), find the volume of soil removed for a 30 m run, and compare it with a vertical-walled 1.0 m wide trench in a trench box.

Show solution
  1. Area of the trapezoid: \( A = \tfrac{1.0 + 7.0}{2} \times 3.0 = 12.0 \) m².
  2. Volume for 30 m: \( V = 12.0 \times 30 = 360 \) m³ of soil in place.
  3. Vertical trench in a box: \( 1.0 \times 3.0 \times 30 = 90 \) m³.
  4. The sloped trench moves four times as much soil, and the loose spoil will occupy roughly 20 to 30 percent more volume than it did in the ground.

Answer: 360 m³ compared with 90 m³; sloping saves equipment but costs excavation, storage and backfill.

Benching

Benching cuts the wall into a series of horizontal steps, so that the overall profile follows the required slope. Benches give workers places to stand and make it easier to remove soil in lifts, but they add risk if done badly: each vertical riser is a small unsupported wall, and a bench that is too tall or too narrow defeats the purpose.

Ontario's regulation describes sloped walls and does not set out benching configurations. Where a stepped profile is proposed, the constructor should confirm, through its procedures or an engineer's opinion, that no part of the profile is steeper than the required slope line and that the risers are low enough not to slough. Benching should never be used in Type 4 soil, which flows, or in granular soils that cannot hold a vertical step. Alberta's rules likewise speak of slopes; benching is acceptable only where the resulting profile meets the required angle.

A cross-section of a benched trench wall in stiff cohesive soil. A dashed line shows the required 1:1 slope from the bottom of the trench. The benches are drawn so that every corner of each step lies on or behind the slope line, with low risers.
Benching works only when every step stays on or behind the required slope line, and only in cohesive soil.

Worked problem

Checking a benched profile

A 3.0 m deep excavation in stiff Type 3 clay is to be cut in three steps, each with a 1.0 m riser. To stay behind a 1:1 slope line drawn from the bottom of the trench, how wide must each tread be, and how far back is the top edge from the bottom edge?

Show solution
  1. A 1:1 slope rises 1.0 m for every 1.0 m of horizontal distance.
  2. For each 1.0 m riser to stay behind the line, each tread must be at least 1.0 m wide.
  3. Three steps place the top edge \( 3 \times 1.0 = 3.0 \) m back from the bottom edge, the same as a plain 1:1 slope.
  4. Because the soil is Type 3, the profile must stay behind the line from the very bottom; there is no vertical lower wall allowance.

Answer: Treads of at least 1.0 m; the top edge is 3.0 m back.

When sloping is the wrong choice

Sloping is cheap only when there is room for it and the soil is reasonably strong. It becomes the wrong choice when:

  • There is not enough room: urban streets, trenches beside buildings, property lines, live traffic lanes and existing utilities rarely leave space for wide cuts.
  • The soil is weak or wet: Type 4 or Type C soils need such flat slopes that sloping becomes impractical, and wet slopes can still slump.
  • The excavation will be open for a long time: slopes erode, dry and crack, and must be maintained.
  • Nearby structures could be undermined: a sloped cut beside a foundation may remove its lateral support.
  • The volume of soil to move, store and replace makes the job uneconomic, or the restoration cost of a wide cut in a paved area is greater than renting a trench box.

Combining methods is common: a slope at the top of an excavation with a trench box or shoring below, or a sloped section where space allows and shielding where it does not. The combination must be planned so that the transitions do not create unprotected vertical walls.

Maintaining slopes

A slope is only protective while it keeps its shape. The competent person should watch for slumping, erosion gullies after rain, tension cracks behind the crest, water seeping from the face and loose material rolling down. Slopes should be scaled of loose material, kept free of surcharge at the crest, protected from surface water with diversion berms or ditches, and covered with tarps if rain is expected. A slope that has slumped no longer matches the angle it was cut to and must be re-cut or supported before work continues below it.

Combining slopes with other systems

Many excavations use a combination: the upper part of the wall is sloped and a trench box or shoring protects the lower part. This is efficient where the top metre or so is in weaker fill and a box would otherwise need to be very tall. The combination works only if the box or shoring is rated for the soil it supports, extends high enough that soil from the slope cannot roll over its top, and the slope above it meets the required angle for its soil type. Ontario's regulation requires a support system to extend at least 0.3 m above the top of the excavation, and where the lower portion of a wall is vertical and supported, the support must extend at least 0.5 m above that vertical portion. The transition is where errors happen: a slope that ends at the top of the box with no lip, or a box set so low that the slope above it effectively becomes a vertical wall, gives no protection at all.

Worked problem

Checking a sloped-and-shielded profile

A 3.6 m excavation in Type 3 soil uses a 2.4 m tall box set on the trench floor. The upper wall will be sloped at 1:1 from the top of the box. Is the profile acceptable, and what width does the slope add on each side?

Show solution
  1. The box protects the lowest 2.4 m. If the slope starts at the top of the box, the box has no freeboard above the soil it retains.
  2. To meet the 0.5 m requirement above a supported vertical portion, start the 1:1 slope at 1.9 m above the floor, so the box rises 0.5 m above the vertical wall.
  3. Sloped height: \( 3.6 - 1.9 = 1.7 \) m, so each side adds \( 1 \times 1.7 = 1.7 \) m of horizontal run.
  4. Check the box rating for Type 3 soil at its depth, and keep the 1 m clear area at the crest.

Answer: Acceptable once the slope starts 0.5 m below the top of the box; each side adds about 1.7 m.

Common mistakes

  • MistakeConfusing a 1:1 ratio written as vertical to horizontal with one written as horizontal to vertical.

    InsteadCheck the convention; 1V:3H is flat, 3V:1H would be dangerously steep.

  • MistakeCutting the slope correctly but piling spoil right at the crest.

    InsteadKeep the 1 m clear area at the top of the slope and stockpile further back.

  • MistakeBenching in sand or other granular soil.

    InsteadBenching works only in cohesive soil; slope or shore granular soils.

  • MistakeLeaving a vertical section at the bottom of a Type 3 or Type B slope.

    InsteadOnly the strongest soils allow a vertical lower portion; others slope from the bottom.

  • MistakeAssuming a slope cut last week is still safe.

    InsteadInspect slopes daily and after rain for slumping, erosion and cracks.

Summary and key terms

  • Sloping removes the soil wedge that would otherwise slide into the excavation.
  • Ontario requires 1:1 for Types 1 to 3 (with a 1.2 m vertical allowance in Types 1 and 2) and 1V:3H for Type 4.
  • Top width equals bottom width plus twice the slope ratio times the sloped height.
  • Sloped trenches move far more soil than shielded ones and need much more space.
  • Benching is allowed only in cohesive soils and only within the slope line.
  • Sloping is unsuitable where space, weak soil, water or nearby structures make it impractical.
  • Slopes must be maintained and inspected, especially after rain.
Sloping
Cutting excavation walls back at an angle to prevent cave-ins.
Benching
Cutting excavation walls into horizontal steps that follow a required overall slope.
Slope ratio
The ratio of horizontal run to vertical rise of a cut face.
Riser
The vertical face of a bench.
Tread
The horizontal surface of a bench.
Crest
The top edge of a slope.
Toe
The bottom edge of a slope.
Swell
The increase in volume of soil when it is excavated and loosened.
Short-term exposure
In OSHA Appendix B, an excavation open 24 hours or less, which allows a steeper slope in Type A soil.

Practice problems

Work each problem on paper first, then reveal the answer to check.

  1. What angle from horizontal is a 1:1 slope?

    Show answer

    45 degrees.

  2. What slope does Ontario require in Type 4 soil?

    Show answer

    No steeper than 1 vertical to 3 horizontal, from the bottom.

  3. How deep may the vertical lower wall be in Type 1 or 2 soil?

    Show answer

    Up to 1.2 m.

  4. Find the top width of a 2 m deep Type 3 trench with a 0.8 m bottom.

    Show answer

    0.8 + 2 × 2 = 4.8 m.

  5. Why is benching not allowed in granular soil?

    Show answer

    Granular soil cannot hold the vertical risers.

  6. Name three situations where sloping is a poor choice.

    Show answer

    Limited space, weak or wet soil, long-duration excavations, nearby structures, high restoration costs.

  7. What is swell?

    Show answer

    The increase in soil volume after excavation, typically 20 to 30 percent.

  8. What should be checked on a slope after rain?

    Show answer

    Slumping, erosion, tension cracks, seepage and loose material.

  9. What must be done for slopes steeper than the regulation allows?

    Show answer

    Use a support system or obtain a professional engineer's written opinion.

  10. Why must combined slope and shield systems be planned carefully?

    Show answer

    Transitions can leave unprotected vertical walls.

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