Structural & Safety Calculators

Timber spans, fence posts, and ramp gradients each rest on their own structural limits — this tool works through the reasoning behind each.

Units
Wall Geometry
Backfill Properties
Wall Resistance
Active Earth Pressure
–
kPa max at base
Horizontal Force on Wall
–
kN/m
Overturning Moment
–
kNm/m
Resisting Moment
–
kNm/m
FoS Sliding
–
(target ≥ 1.5)
Base Pressure — Toe
–
kPa
Base Pressure — Heel
–
kPa
Stability Status
Drain Provision
Rankine Ka = (1−sin φ)/(1+sin φ). Active pressure diagram: triangular for backfill weight (σh=Ka×γ×z), rectangular for surcharge (σh=Ka×q). Overturning moment about toe. Resisting moment = wall self-weight × arm. FoS overturning ≥2.0, sliding ≥1.5 (BS EN 1997-1). Drainage essential to prevent pore water pressure build-up.
Units
Member Properties
Loading & Service Class
Applied UDL
–
kN/m
Section Modulus Wx
–
cm³
Max Bending Moment
–
kNm
Max Shear Force
–
kN
Bending Stress Actual
–
N/mm²
Permissible Stress (Kmod)
–
N/mm²
Deflection
–
mm
Deflection Check (span/300)
Shear Check
Eurocode 5 (BS EN 1995-1): Kmod factors for service class and load duration modify permissible stress. SC2/Med-term: Kmod=0.80. Deflection limit: span/300 (inst.) or span/250 (final). Bending check: σm,d ≤ fm,k × Kmod / γM (γM=1.3 timber). This tool provides indicative results — structural engineer to verify.
Units
Fence Geometry
Wind & Site
10-min mean at 10m height
Post Specification
Wind Pressure on Panel
–
kPa
Bending Moment at Ground
–
kNm
Required Embedment Depth
–
m
Post Bending Stress
–
N/mm²
Concrete Volume per Post
–
litres
Post Bending Status
Wind pressure q = 0.5 × ρ × V² × Cf × Ce (ρ=1.25 kg/m³ air density, Ce=exposure factor, Cf=force coefficient). Horizontal force per post = q × fence area per post (height × spacing). Embedment depth (propped cantilever in soil): d = √(3×M / (Fb×1.5×L)) where Fb = soil bearing at pile (simplified).
Units
Slope Geometry
Soil Properties
0=dry, 0.50=sat
FoS Infinite Slope
–
ratio
Required Angle for FoS 1.5
–
° (if currently failing)
Stability Status
Infinite slope: FoS = (c + (γ×H×cos²β − ru×γ×H)×tan φ) / (γ×H×sinβ×cosβ). Bishop simplified uses circular failure surface — this tool uses a simplified Bishop iteration. For critical slopes, retain a geotechnical engineer and BS EN 1997-1 / CIRIA C580 guidance.
Units
Compliance Standard
Path Geometry
Leave 0 if not a ramp
10
/ 10 Pass
Compliance Criteria Checklist
CriterionValueStatusStandard Rule
Units
Space Parameters
Occupancy Factor Applied
–
m²/person
Egress Width Required
–
m total clear exit width
Fire Egress ComplianceVerify with fire engineer
Assembly Point RecommendationProvide safe dispersal area
Approved Document B (UK): exit width ≥750mm per exit, one exit per 60 persons below 200 persons. IBC 2021 Table 1004.5: occupant load factors by use. Egress width: UK=8mm per person (stairs), 5.3mm (corridors). Always verify with fire engineer and local fire authority for occupied public spaces.

How Timber Spans, Fence Posts, Slopes, and Accessible Ramps Are Actually Calculated

Landscape architecture sits closer to structural engineering than it might first appear, since timber decking spans, fence post embedment depths, slope stability, and accessible ramp gradients are, at their core, genuine structural and safety calculations rather than purely design decisions. This guide explains the reasoning behind each.

How safe timber spans are actually determined

The maximum safe span for a timber deck joist or beam, meaning the distance it can bridge between supports while safely carrying its intended load, depends on the interaction of several variables together, the timber species and grade, since different species and structural grades carry meaningfully different permissible stress values, the actual cross-sectional size of the timber section used, since a deeper section resists bending far more effectively than a shallower one of the same width, and the spacing between adjacent joists, since more closely spaced joists share the applied load between a greater number of members. Permissible stress itself is not a fixed figure for a given timber grade, but is adjusted according to service conditions and load duration through modification factors, consistent with the approach set out in the Eurocode 5 timber design standard, reflecting the reality that timber performs somewhat differently in a permanently damp outdoor environment compared to a dry, sheltered one, and behaves differently under a sustained long-term load compared to a brief, occasional one.

Sizing fence posts to resist wind and impact load

A fence or screen’s post embedment depth and spacing has to be sized to resist the lateral wind and occasional impact loading the fence will actually experience over its service life, and this required embedment depth scales directly with the fence’s height and the degree of wind exposure at the specific site, since a taller fence presents considerably more surface area to catch wind load, and a fence sited in a genuinely exposed location experiences meaningfully higher wind loading than an equivalent fence sheltered by surrounding buildings or planting. Posts embedded too shallow for their height and exposure will lean or fail entirely under load that a correctly embedded post of the exact same material would resist without issue, making embedment depth one of the easiest structural details to under-specify without it becoming visually obvious until the fence actually fails under a genuinely windy day.

How slope stability is assessed as a first screening check

Slope stability, in simplified screening terms, considers the relationship between a slope’s angle, the soil or material it is formed from, and any additional surcharge loading applied at or near the top of the slope, such as a structure, vehicle loading, or even a heavily planted and irrigated bed, since water content significantly affects the shear strength and stability of most soil types. As a general working principle, consistent with geotechnical design guidance such as Eurocode 7, steeper slopes and higher surcharge loading both reduce a slope’s inherent stability margin, meaning a slope that would be entirely stable at a gentler angle or without additional surcharge can become genuinely marginal or unstable once steepened or loaded, which is exactly why any slope beyond a fairly modest angle, or carrying any meaningful additional loading, warrants formal geotechnical review rather than a general estimate alone.

The logic behind accessible ramp compliance

Accessible ramp design revolves around a small number of interconnected figures that together determine whether a route is genuinely usable by someone using a wheelchair or other mobility aid, the maximum permitted gradient, generally expressed as a ratio of rise to run, the maximum unbroken run length permitted before a level landing is required to allow a rest point, and the minimum landing dimensions themselves, all of which are set out in accessibility legislation and standards such as the Americans with Disabilities Act, the International Building Code, and the Disability Discrimination Act framework used in the UK and Australia. These figures interact directly, since a ramp gradient right at the maximum permitted limit requires landings more frequently than a gentler gradient would, meaning ramp design is genuinely an exercise in balancing available vertical rise, available horizontal space, and these interconnected compliance thresholds together, not simply checking a single gradient figure in isolation.

Estimating safe occupant capacity for an enclosed space

Safe occupant capacity for an enclosed or semi-enclosed outdoor structure, such as a covered pavilion or event structure, is calculated from the space’s floor area combined with an occupancy density figure appropriate to its intended use, since a densely packed standing event and a seated dining arrangement of the exact same physical floor area produce very different safe maximum occupant numbers, a figure that is often specifically required as part of formal sign-off for event planning or public assembly use.

Disclaimer

The information and any results referenced on this page are provided for general educational and early design purposes only, referencing general principles from Eurocode 5, Eurocode 7, the Americans with Disabilities Act, and the International Building Code. This is not a certified structural design, geotechnical assessment, or accessibility compliance audit. All structural elements, retaining structures, and accessibility features must be designed, verified, and where required certified by a licensed structural engineer, geotechnical engineer, or accessibility consultant before construction.