Article Contents:
- Load at a point: physics of vertical support
- Static Load Calculation
- Material strength and leg cross-section
- Euler's critical force: loss of stability
- Optimal cross-sections for different heights
- Seat diameter and leg placement
- Standard seat diameter
- Rule for leg placement relative to seat edge
- Effect of cantilever overhang on stability
- Stability of three-point support: geometry and physics
- Advantages of three legs
- Disadvantages of three legs
- Optimal geometry of three-legged stool
- Calculation of tipping stability
- Correct geometry: angles, verticals, symmetry
- Verticality of installation
- Controlled leg inclination
- Symmetry of placement
- Equal leg length
- Anti-slip pads: safety and protection
- Pad types by material
- Pad size relative to legs
- Combined Solutions
- Adjustable supports with anti-slip effect
- Materials for stool legs
- Oak: maximum strength
- Beech: alternative to oak
- Birch: Budget-Friendly Solution
- Metal: industrial strength
- Compactness: space-saving
- Folding legs
- Stackability
- Minimal base
- Leg attachment to the seat
- Dowel joint
- Threaded studs and bushings
- Mounting Plates
- Bolted connection
- Practical Recommendations for Selection
- Company STAVROS: quality for decades
A stool is furniture without a backrest, where all responsibility for stability and safety rests on the legs. There is no backrest support, no weight distribution on additional elements. Only the seat and supports.Legs for a stool to buyThese elements experience higher point loads than chair legs with backrests, require ideal geometry to prevent wobbling, must be compact to save space while ensuring absolute stability.
This article is an engineering approach to selecting supports for a stool. There is no room for subjective assessments like 'strong — not strong'. Here — load calculations on support points, mathematics of three-point stability, geometric parameters for correct leg placement relative to seat diameter, technical specifications of anti-slip pads. Because a stool that wobbles or cannot support a person’s weight is not furniture, but a source of injuries.
Load at a point: physics of vertical support
Unlike a table, where the load is static and evenly distributed, a stool experiences dynamic point loads. A person sits down abruptly — impact load. Shifts position — variable load. Gets up, leaning on the edge — cantilever load. Each of these situations creates peak stresses in the legs.
Static load calculation
Basic calculation begins with statics. A person’s weight of 80 kg is distributed among the stool’s legs. For a four-legged stool: 80 kg / 4 = 20 kg per leg. For a three-legged stool: 80 kg / 3 = 26.7 kg per leg. Seems like small values.
But this is an idealization, assuming a perfectly flat seat, perfectly flat floor, and perfectly centered seating position. In reality, a person does not sit exactly at the center. When the center of gravity shifts 100 mm from the geometric center of a 350 mm diameter seat, the load is distributed unevenly. Legs closest to the center of gravity each take 30–35 kg, while the farther ones take 10–15 kg.
The person’s weight acts impulsively, not smoothly. The dynamic coefficient during normal sitting is 1.3–1.5. That is, an 80 kg person creates a load of 104–120 kg during sitting. During a sudden sit-down (falling onto the stool), the coefficient reaches 2.0–2.5, i.e., 160–200 kg.Load at a pointSupports can instantly reach 40–50 kg for four legs and 60–70 kg for three.
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Material strength and leg cross-section
Compressive strength determines load-bearing capacity. Oak withstands compressive stress up to 60 MPa, beech up to 58 MPa, birch up to 52 MPa. Cross-sectional area of a round leg with diameter D: S = π × (D/2)².
For an oak leg with 40 mm diameter: S = 3.14 × 20² = 1256 mm² = 12.56 cm². Load-bearing capacity at 60 MPa strength limit = 6 kg/mm²: 12.56 × 600 = 7536 kg. This is the theoretical failure limit. Considering a safety factor of 10 (standard for wooden structures): actual load-bearing capacity is 754 kg per leg.
For a 35×35 mm square leg: S = 1225 mm² = 12.25 cm². Load-bearing capacity of an oak support: 735 kg. Practically, any reasonable leg cross-section for a stool exceeds the required load-bearing capacity based on material compressive strength by many times.
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Euler critical force: loss of stability
The problem is not that the leg breaks under compression, but that it may bend — loss of stability under longitudinal compression. Critical force for a rod: P_cr = (π² × E × I) / (μ × L²), where E — modulus of elasticity (oak 12000 MPa), I — section moment of inertia, L — leg length, μ — end fixation coefficient.
For a circular section: I = π × D⁴ / 64. For an oak leg Ø40 mm high 450 mm (standard for kitchen stools) with rigid fixation at both ends (μ = 0.5):
I = 3.14 × 40⁴ / 64 = 125664 mm⁴
P_cr = (9.87 × 12000 × 125664) / (0.5 × 450²) ≈ 146832 N ≈ 14970 kg
The critical force is 75 times greater than possible load. For standard-height stool legs, loss of stability is not a threat. But for bar stools 750 mm high, the situation is different: P_cr decreases proportionally to the square of length. For the same Ø40 mm leg 750 mm high: P_cr ≈ 5390 kg — still a large safety margin, but less comfortable. Here, legs of greater diameter (50–60 mm) or additionalbraces between legs.
Optimal sections for different heights
Standard kitchen stool (seat height 450 mm, leg length 420–430 mm):
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Minimum section: Ø35 mm or 30×30 mm square
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Optimal section: Ø40–45 mm or 35×35 mm square
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Reinforced section: Ø50 mm or 45×45 mm square (for commercial use or heavy users)
Low stool (seat height 300–350 mm, leg length 270–320 mm):
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Minimum cross-section: Ø30 mm or 25×25 mm square
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Optimal cross-section: Ø35–40 mm or 30×35 mm square
Bar stool (seat height 750 mm, leg length 720 mm):
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Minimum cross-section: Ø45 mm or 40×40 mm square
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Optimal cross-section: Ø50–60 mm or 45×50 mm square
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With braces: can be reduced to Ø40–45 mm
Seat diameter and leg placement
The compactness of the stool is determined by the seat size. However, the seat size affects the required leg placement, and thus the stability of the entire structure.
Seat diameter standards
Round seat:
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Minimum comfortable diameter: 300 mm (for children’s stools or temporary use)
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Standard diameter: 350–380 mm (optimal for most adults)
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Increased diameter: 400–450 mm (enhanced comfort, but takes up more space)
Square seat:
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Minimum size: 300×300 mm
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Standard size: 350×350 mm or 360×360 mm
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Increased size: 400×400 mm
Rectangular seat:
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Rare option for stools, more common for banquet chairs
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Standard sizes: 400×300 mm, 450×320 mm
Rule for leg placement relative to seat edge
Seat diameterdetermines the maximum allowable offset of legs from the edge. Too large an inward offset — loss of stability; legs too close together. Too small an offset or flush mounting — risk of seat edge chipping during fastener installation, as well as visual clumsiness.
Optimal offset from edge: 40–60 mm for a 350 mm diameter seat. This creates a working leg placement diameter of 230–270 mm.
Calculation formula: the distance between axes of opposite legs should be 60–75% of the seat diameter. For a Ø350 mm seat: 210–262 mm between leg axes. With a 60 mm offset from the edge: leg placement diameter 230 mm — within standard.
For a square seat, the calculation is similar along the diagonal. A 350×350 mm square has a diagonal of 495 mm. The distance between axes of diagonally placed legs should be 60–75% of this value: 297–371 mm. With a 50–60 mm offset from each corner, this condition is met.
Effect of cantilever overhang on stability
The edge of the seat extending beyond the legs acts as a cantilever. Under load at the edge (person sitting and shifting toward the edge; leaning on the edge while standing up) a tipping moment arises. The greater the cantilever overhang, the less stable the stool.
Safe cantilever overhang for a four-legged stool: 60–80 mm for a 350 mm diameter seat. With an overhang of 100 mm or more, the risk of tipping under edge load significantly increases.
For three-legged stools, the console overhang should be uniform around the entire perimeter; otherwise, zones of increased instability arise. Optimal overhang: 50–70 mm.
Stability of three-point support: geometry and physics
A stool may have three or four legs. Each configuration has advantages and disadvantages.Stability of three-point support— a special topic requiring understanding of geometry and center of gravity.
Advantages of three legs
Absolute stability on uneven surfaces. Three points always define a plane. A three-legged stool will never rock, even on an uneven floor. A four-legged stool on an uneven floor rests on three legs, with the fourth suspended in the air — the structure rocks.
This is critical for use outdoors (terrace, garden, uneven tiles), on a dacha (old floors with unevenness), in industrial spaces (concrete floors with defects). A three-legged stool is universally adaptable to the quality of the base.
Material savings. Three legs instead of four — 25% less wood. In mass production, this is significant savings.Legs for chairsThree legs cost less.
Disadvantages of three legs
Smaller support area. Three points form a triangle. Four points form a square or rectangle. With the same leg setback from the edge of the seat, the area of the triangle is smaller than that of the square. A smaller support area means less resistance to tipping.
Zones of instability. A triangular support system has directions of lesser stability. If one vertex of the triangle is directed forward, the lateral directions (perpendicular to the triangle’s sides) are less stable. Under load in these zones, the risk of tipping is higher.
Higher load per leg. For the same human weight, each of the three legs carries 33% more load than each of the four. This requires thicker legs or stronger material.
Optimal geometry of a three-legged stool
For maximum stability, legs are positioned at the vertices of an equilateral triangle. The center of this triangle must coincide with the center of the seat. The radius of the circumscribed circle (distance from the center to a triangle vertex) determines stability.
Calculation: for a seat with a 350 mm diameter, the optimal leg placement radius is 140–160 mm from the center. This creates a triangle with sides of 240–275 mm, ensuring sufficient support area.
Orientation: to increase stability in the direction of primary use, one vertex of the triangle (one leg) is directed toward the most frequent seating position. For a kitchen stool pushed up to a table, the front leg provides maximum stability in the direction of person-to-table.
Calculation of tipping resistance
Stability is determined by the ratio of tipping moment to holding moment. The tipping moment is created by the human weight shifted toward the edge. The holding moment is created by the stool’s own weight and the distance from the tipping axis to the system’s center of gravity.
Simplified stability criterion: the projection of the loaded stool’s center of gravity must lie within the support area with a safety margin of at least 50 mm from the edge. For a three-legged stool, this means that if the human’s center of gravity is shifted 100 mm from the seat’s center, the projection must still lie within the support triangle.
For a round seat Ø350 mm with legs positioned at a 150 mm radius from the center (triangle with side 260 mm): when the person is shifted 100 mm from the center, the projection of the center of gravity is 100 mm from the geometric center. The minimum distance to the triangle’s side (height from center to side of an equilateral triangle with radius 150 mm) is 75 mm. Safety margin 75 - 100 = -25 mm — insufficient! Risk of tipping.
To ensure stability, the leg placement radius must be at least 165 mm, creating a triangle with side 285 mm. Then, the height from center to side is 142 mm, and with a 100 mm shift, the safety margin is 42 mm — minimally acceptable.
Conclusion: three-legged stools require a wider leg placement (smaller setback from the seat edge) compared to four-legged stools to achieve the same stability.
Correct geometry: angles, verticals, symmetry
Geometric accuracy of leg placementfurniture legsis critical for stool functionality. A deviation of 1–2 mm causes rocking. A deviation of 5 mm renders the stool practically unusable.
Verticality of installation
Stool legs must be strictly vertical or have an identical controlled slope. Random deviation from vertical—even 1 degree for a 450 mm leg—creates a support point displacement of 8 mm, which may cause rocking.
Verticality is checked using a construction level or plumb bob during installation. For mass production, mounting guides are used to ensure precise positioning.
Controlled leg tilt
Some designs provide outward leg tilt to increase the support area. The tilt angle is typically 3-5 degrees from vertical. For a leg length of 450 mm and an angle of 4 degrees, the lower support point shifts outward by 31 mm relative to the upper mounting point.
This increases the support circle diameter, enhancing stability. However, it requires precise adherence to the same angle for all legs. Angular deviations exceeding 0.5 degrees cause rocking.
Leg placement symmetry
For a four-legged stool with a round seat, legs are positioned at equal angular intervals: 90 degrees between adjacent legs. For a square seat — at the corners or at the midpoints of the sides (rare variant).
For a three-legged stool — legs are at 120-degree angles. Violation of symmetry creates uneven load distribution and visual disharmony.
Symmetry is checked by measuring distances between leg axes. For four legs arranged in a circle with a 150 mm radius, the distance between adjacent legs (chord) is 2 × 150 × sin(45°) = 212 mm. All four distances must be equal within ±1 mm.
Equal leg length
An obvious but critical requirement. A leg length difference exceeding 0.5 mm causes rocking. To prevent this:
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During manufacturing: use of sawing machines with precise setup, producing a batch of legs in one setup
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During assembly: use of adjustable supports compensating for minor length differences
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During use: installation of leveling pads under shorter legs
Anti-slip pads: safety and protection
Anti-slip padsOn leg ends, they perform three functions: prevent stool sliding on smooth surfaces, protect flooring from scratches, reduce noise during movement.
Pad types by material
Wool (felt) pads:
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Material: natural wool or synthetic polyester
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Thickness: 3-5 mm for stools
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Mounting: self-adhesive or nailed
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Advantages: excellent floor protection, quiet movement, low cost
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Disadvantages: wear (service life of 1-2 years with active use), absorb moisture, weak anti-slip performance on smooth floors
Rubber pads:
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Material: natural or synthetic rubber
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Thickness: 2-4 mm
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Mounting: self-adhesive
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Advantages: excellent anti-slip performance, moisture resistance, durability
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Disadvantages: may leave dark marks on some surfaces (laminate, parquet), noisier than wool pads
Silicone pads:
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Material: silicone polymer
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Thickness: 1-3 mm
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Mounting: self-adhesive, transparent
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Advantages: transparency (not noticeable), good anti-slip effect, no marks left, durability
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Disadvantages: high price, less floor protection against scratches compared to felt
Plastic caps:
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Material: polypropylene, nylon
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Thickness: 2-5 mm
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Mounting: screw-type (metal head with plastic base)
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Advantages: maximum durability, water resistance
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Disadvantages: may scratch soft surfaces (laminate, parquet), noisy
Cap size relative to leg
The cap diameter should match the leg diameter or be slightly larger. For a round leg Ø40 mm, the optimal cap size is Ø40-45 mm. Smaller — insufficient contact area, larger — visually unattractive, the cap edge protrudes.
For square legs, square caps of corresponding sizes are produced: 35×35, 40×40, 45×45 mm.
Combined Solutions
Two-layer caps are used for optimal combination of properties: lower layer — felt (floor protection, quietness), upper layer — rubber (anti-slip effect). These caps are more expensive but provide maximum functionality.
Adjustable legs with anti-slip effect
Adjustable legs (screw-type) have a plastic or rubber support surface with a diameter of 30-50 mm. This surface provides anti-slip effect and floor protection simultaneously. The advantage of adjustable legs is the ability to compensate for floor unevenness up to 10-15 mm, which is critical for older rooms.
Installing adjustable legs requires drilling a blind hole at the leg end and installing a threaded bushing. After installing the stool, each leg is adjusted by turning until stability is achieved, then secured with a locking nut.
Materials for stool legs
Material choice determines strength, durability, appearance, and cost.stool legsManufactured from wood, metal, or combinations of materials.
Oak: maximum strength
Oak is the benchmark for strength among woods. Density 690-720 kg/m³, hardness 3.7-3.9 on Brinell, compressive strength 60 MPa. Oak legs withstand any household loads with multiple safety margins. Service life in intensive use (cafes, dining rooms) — 10-15 years without loss of strength.
Oak has a pronounced texture with large pores, giving products a distinctive noble appearance. Color ranges from light gray (white oak) to dark brown (black oak).
Beech: alternative to oak
Beech has strength comparable to oak (density 650-680 kg/m³, hardness 3.8 on Brinell), but is lighter and has a more uniform fine-grained structure. This creates a slightly softer visual impression.
The drawback of beech is high hygroscopicity. It absorbs moisture more actively and reacts more strongly to humidity changes. For kitchen stools, where contact with water is possible, oak is preferable. For living rooms, bedrooms, and dry rooms, beech is an excellent choice.
Birch: budget-friendly solution
Birch (density 630-650 kg/m³) is less strong than oak or beech, but sufficient for home use. Birch legs with a diameter of 40-45 mm can easily withstand standard loads.
Birch is light, almost white, with a fine, subtle texture. This makes it an excellent choice for Scandinavian interiors, minimalism, and light kitchens. Priceof birch legsis 20-30% lower than oak.
Metal: industrial strength
Metal legs (steel, aluminum) provide maximum strength with minimal cross-section. A steel leg with a 25 mm diameter withstands the same load as a wooden leg with a 45 mm diameter. This allows creating visually elegant structures.
Steel is three times heavier than aluminum but also stronger. For stools, typically a steel tube with a diameter of 20-30 mm and wall thickness of 2-3 mm is used. Coatings — chrome plating, powder coating, black oxide metal.
Aluminum is lighter, does not rust, but more expensive. Aluminum legs — a choice for modern interiors where technology is valued.
Compactness: space-saving
A stool is compact furniture occupying minimal space. However, compactness is determined not only by the seat size but also by the leg construction.
Folding legs
Stools with legs folding under the seat reduce storage height to 50-80 mm. The folding mechanism is a hinge connection between legs and seat. In working position, legs are secured by latches or stops.
The drawback of folding constructions is lower strength compared to rigid ones. Hinges are potential points of wear and play. Folding stools are not recommended for intensive use.
Stackability
Stackable stools allow stacking one on top of another, saving space during storage. For this, legs have a conical shape or special protrusions that allow the upper stool to rest stably on the lower one with minimal clearance between seats.
When stacking 5-6 stools, the stack height is 600-800 mm, compared to 2250-2700 mm if stacked normally.
Minimal base
Stools with central support (one thick leg with 80-120 mm diameter or cross-shaped base) occupy minimal floor space. The base does not extend beyond the seat perimeter, allowing the stool to be pushed close to a table or wall without risk of tripping over the legs.
Leg attachment to seat
The reliability of the attachment determines the stool's longevity.Furniture Supportsattach to the seat in various ways.
Dovetail connection
Traditional carpentry method. Blind holes are drilled into the seat, and pegs (cylindrical protrusions) are formed on the legs. The peg fits into the hole with glue. The connection strength reaches 80-90% of solid wood strength.
Advantages: maximum strength, durability, no visible fasteners. Disadvantages: complex manufacturing, inability to disassemble without damaging the connection.
Threaded rods and bushings
A threaded rod (bolt without head) with M8 or M10 diameter is installed on the leg. A threaded bushing is screwed into or glued into the seat. The leg is screwed into the bushing.
Advantages: ease of assembly, possibility of disassembly and reassembly, possibility of replacing a damaged leg. Disadvantages: slightly lower strength compared to pegged connections, visible connection (if not covered by decorative caps).
Mounting plates
Metal plates are screwed to the seat. Legs with rods are screwed into threaded holes in the plates. The method is similar to threaded bushings, but the plate provides a wider load distribution on the seat.
Suitable for seats made of MDF, particleboard, or plywood — materials that poorly hold screws when installing bushings directly.
Bolted connection
A through bolt passes through the seat and leg, secured by a nut. The strongest connection, but aesthetically controversial — the bolt head or nut is visible on the seat surface. Used for bar stools and industrial furniture, where functionality is more important than appearance.
Practical Recommendations for Selection
Consider ceiling height, room size, interior style, and functionality.buy legs for a stoolconsider:
Intensity of use:
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Home stool for occasional use: birch or beech, diameter 35-40 mm
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Kitchen stool for daily use: oak or beech, diameter 40-45 mm
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Bar stool: oak, diameter 50-60 mm with spreaders
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Commercial use (café, dining room): oak, diameter 45-50 mm, reinforced attachment
Type of floor:
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Smooth tile, laminate: rubber or silicone caps
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Parquet: woolen caps
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Carpet: plastic caps or without caps
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Uneven floor: adjustable legs
Number of legs:
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For flat floors, stationary placement: four legs
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For uneven surfaces, mobile use: three legs
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For minimal base: central support
Interior style:
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Classic, country: turned oak legs
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Scandinavian: conical legs from light wood (birch, beech)
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Loft, industrial: metal legs or rough wood
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Minimalism: thin cylindrical legs, monochrome painted
Company STAVROS: quality for decades
Company STAVROS — a leading Russian manufacturer of solid wood products, specializing in premium furniture components for over 15 years.
Legs assortment for stools:
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Cylindrical straight, diameter from 35 to 60 mm
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Conical with 3-7 degree angle
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Classic profile turned legs
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Square section from 30×30 to 50×50 mm
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Height from 250 to 750 mm
Materials: solid oak and beech wood from air-dried kiln with humidity 8±2%. Wood undergoes strict selection, defective blanks are rejected.
Manufacturing accuracy: tolerance in length ±0.3 mm — all legs in the set are identical, the stool will not wobble. End verticality is controlled on each item.
Finishes: polyurethane varnishes, acrylic varnishes, oil-wax, enamel of any color. All finishes are applied under professional conditions, ensuring durability.
Components: assortment includes threaded bushings, mounting plates, bolts, anti-slip caps of all types, adjustable legs. Everything needed for self-assembly of the stool.
Custom production:stool legsCustom sizes and drawings. Any height, any cross-section, any profile. Production time from 7 working days.
Consultations: specialists will help calculate the required leg cross-section for your structure, recommend optimal placement, select fasteners and caps.
Create stools that serve generations. Calculate loads precisely, choose geometry correctly, use materials proven over time. STAVROS — your partner in creating durable, compact, safe furniture.