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Open CalculatorAll Civil: Geotechnical PE Equations (58)
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Active Earth Pressure (Cohesionless)
Calculate horizontal active earth pressure at any depth for cohesionless soils. Free engineering calculator for lateral earth pressure analysis and design.
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Active Earth Pressure (Cohesive)
Calculate active earth pressure for cohesive soils with our free engineering calculator. Includes cohesion terms for accurate lateral pressure analysis.
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Allowable Bearing Capacity
Calculate allowable bearing capacity for foundation design. Determine safe soil bearing capacity using ultimate capacity and safety factor. Free engineering tool.
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At-Rest Earth Pressure Coefficient
Calculate at-rest earth pressure coefficient using Jaky's formula for normally consolidated soil. Free geotechnical engineering calculator for lateral earth pressure analysis.
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Average End Area Method
Calculate earthwork volume between cross-sections using the Average End Area Method. Essential civil engineering calculator for cut and fill volume estimation.
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Bearing Capacity Factor Nc
Calculate bearing capacity factor Nc for foundation design. Free geotechnical engineering calculator for soil bearing capacity analysis and foundation calculations.
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Bearing Capacity Factor Nq
Calculate Meyerhof bearing capacity factor Nq for foundation design. Free engineering calculator for soil mechanics and geotechnical analysis.
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Break-Even Point
Calculate your break-even point instantly. Find the volume where total revenue equals total cost. Essential economic analysis tool for business planning.
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Buoyant (Effective) Unit Weight
Calculate buoyant (effective) unit weight of submerged soil instantly. Essential tool for geotechnical engineers and soil mechanics analysis.
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Constant Head Permeability Test
Calculate hydraulic conductivity using our constant head permeability test calculator. Get accurate soil permeability results for geotechnical analysis.
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Hook Height from Boom Geometry
Calculate crane hook height from boom geometry instantly. Determine vertical height of boom tip above ground for safe crane operations and lift planning.
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Crane Load Moment
Calculate crane load moment and tipping forces instantly. Essential tool for crane operators and engineers to ensure safe lifting operations and prevent accidents.
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Crane Net Lifting Capacity
Calculate your crane's net lifting capacity with our free calculator. Determine actual load weight your crane can safely lift after all deductions.
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Load Radius from Boom Geometry
Calculate load radius from crane boom geometry instantly. Determine horizontal distance from center pin to load for safe crane operations and lifting plans.
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Cyclic Stress Ratio (CSR)
Calculate Cyclic Stress Ratio (CSR) for seismic liquefaction analysis. Free earthquake engineering calculator for geotechnical soil assessment and design.
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Darcy's Law - Flow Rate
Calculate flow rate through soil using Darcy's Law. Free online permeability calculator for groundwater flow, hydraulic conductivity, and soil engineering applications.
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Degree of Consolidation (U ≤ 60%)
Calculate degree of consolidation for soil settlement analysis. Free engineering calculator for consolidation values up to 60%. Get accurate results instantly.
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Degree of Saturation
Calculate degree of saturation in soil mechanics. Determine the ratio of water volume to void volume for soil phase relationships and geotechnical analysis.
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Dewatering Pumping Rate
Calculate dewatering pumping rates for excavation projects. Determine optimal flow rates to keep construction sites dry and safe. Free engineering calculator.
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Dry Unit Weight
Calculate dry unit weight of soil solids instantly. Essential tool for geotechnical engineers analyzing soil phase relationships and foundation design.
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Effective Stress
Calculate effective stress in soil using Terzaghi's principle. Essential tool for geotechnical engineers to determine soil stability and bearing capacity.
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Cost Variance (CV)
Calculate Cost Variance (CV) instantly with our free calculator. Measure project performance by comparing earned value vs actual costs. Essential for EVM analysis.
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Cost Performance Index (CPI)
Calculate Cost Performance Index (CPI) to measure project cost efficiency. Free CPI calculator for earned value management and project performance analysis.
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Estimate at Completion (EAC)
Calculate Estimate at Completion (EAC) for project cost forecasting. Free earned value management calculator for accurate project budget planning.
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Estimate to Complete (ETC)
Calculate Estimate to Complete (ETC) for project management. Free earned value calculator to estimate remaining work costs and optimize project budgets.
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Schedule Variance (SV)
Calculate Schedule Variance (SV) instantly with our free earned value management calculator. Measure project performance by comparing earned vs planned value.
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Schedule Performance Index (SPI)
Calculate Schedule Performance Index (SPI) to measure project schedule efficiency. Free earned value management calculator for project managers and engineers.
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Variance at Completion (VAC)
Calculate Variance at Completion (VAC) for project budget forecasting. Free earned value management calculator for accurate project completion variance analysis.
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Falling Head Permeability Test
Calculate hydraulic conductivity using falling head permeability test data. Get accurate soil permeability results with our engineering calculator tool.
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Required Footing Area
Calculate required footing area for service loads with our foundation design calculator. Essential tool for structural engineers and construction professionals.
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Factored Bearing Pressure (qu)
Calculate factored bearing pressure (qu) for concrete foundation design. Get accurate net factored pressure values for structural engineering projects instantly.
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Hydraulic Gradient
Calculate hydraulic gradient and head loss per unit length for permeability analysis. Free online engineering calculator for groundwater flow calculations.
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Infinite Slope (Cohesionless, Dry)
Calculate factor of safety for infinite slopes in dry sand and cohesionless soils. Essential slope stability analysis tool for geotechnical engineers.
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Infinite Slope (Submerged)
Calculate factor of safety for submerged infinite slopes with seepage parallel to slope. Essential slope stability analysis tool for geotechnical engineers.
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Load Factor
Calculate load factor ratio of bank unit weight to loose unit weight for earthwork hauling projects. Essential tool for construction and excavation planning.
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Moist Unit Weight
Calculate moist unit weight for partially saturated soil with our engineering calculator. Essential for geotechnical analysis and soil mechanics calculations.
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Pile End Bearing (Clay)
Calculate pile end bearing capacity in cohesive clay soil with our deep foundation calculator. Get accurate results for geotechnical engineering projects.
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Pile End Bearing (Sand)
Calculate pile end bearing capacity in sand and cohesionless soils. Essential deep foundation design tool for structural engineers and geotechnical analysis.
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Pile Skin Friction (Clay) - Alpha Method
Calculate pile skin friction in cohesive clay soil using the alpha method. Essential deep foundation engineering tool for accurate load capacity analysis.
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Pile Skin Friction (Sand)
Calculate pile skin friction in cohesionless sand soils instantly. Free engineering calculator for deep foundation design with accurate results.
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Ultimate Pile Capacity
Calculate ultimate pile capacity from end bearing and skin friction. Essential tool for deep foundation design and geotechnical engineering projects.
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Porosity
Calculate soil porosity ratio instantly with our free engineering calculator. Determine volume of voids to total volume for geotechnical analysis and design.
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Present Worth of Future Amount
Calculate the present value of future payments with our Present Worth Calculator. Essential tool for economic analysis, investment decisions, and financial planning.
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Present Worth of Uniform Series
Calculate present value of equal periodic payments with our free Present Worth of Uniform Series calculator. Essential tool for economic analysis and financial planning.
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Primary Consolidation (Normally Consolidated)
Calculate primary consolidation settlement for normally consolidated clay. Essential geotechnical engineering tool for foundation design and soil analysis.
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Primary Consolidation (Overconsolidated)
Calculate primary consolidation settlement for overconsolidated clay soils. Free engineering calculator for geotechnical analysis when σf < σp.
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Prismoidal Formula
Calculate accurate earthwork volumes using the prismoidal formula. Get precise middle area calculations for construction projects with our free online tool.
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Rankine Active Earth Pressure Coefficient
Calculate Rankine active earth pressure coefficient for cohesionless soil. Free engineering calculator for lateral earth pressure analysis and retaining wall design.
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Rankine Passive Earth Pressure Coefficient
Calculate Rankine passive earth pressure coefficient for cohesionless soil. Essential tool for geotechnical engineers designing retaining walls and foundations.
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Saturated Unit Weight
Calculate saturated unit weight for soil mechanics projects. Determine unit weight when all voids are filled with water. Free engineering calculator tool.
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Shrinkage Factor (Bank to Compacted)
Calculate shrinkage factor to convert bank volume to compacted volume for earthwork projects. Essential tool for construction and excavation planning.
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Swell Factor (Bank to Loose)
Calculate swell factor to convert bank (in-situ) soil volume to loose excavated volume. Essential earthwork calculator for construction and excavation projects.
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Ultimate Bearing Capacity (Strip Footing)
Calculate ultimate bearing capacity for strip footings using Terzaghi equation. Essential foundation design tool for civil engineers and geotechnical analysis.
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Terzaghi Bearing Capacity (Strip Footing)
Calculate ultimate bearing capacity for strip footings using Terzaghi's equation. Free online calculator for geotechnical engineers and foundation design.
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Time Factor (Consolidation)
Calculate dimensionless time factor for soil consolidation analysis. Free engineering calculator for geotechnical and foundation design projects.
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Vertical Total Stress at Depth
Calculate vertical total stress at any depth in soil. Free engineering calculator for geotechnical analysis. Get accurate soil stress calculations instantly.
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Void Ratio
Calculate void ratio for soil mechanics with our free online calculator. Determine the ratio of void volume to solid volume for geotechnical engineering projects.
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Wellpoint Spacing
Calculate optimal wellpoint spacing for dewatering systems based on soil type and drawdown requirements. Essential tool for construction and excavation projects.
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Frequently Asked Questions
How do I use Active Earth Pressure (Cohesionless) on the PE exam?
This is fundamental for retaining wall design. Remember Ka depends on soil friction angle φ and wall friction δ. For quick estimates, use Ka ≈ 1/3 for typical sands. Always check if the problem gives Ka directly or requires calculation from φ using Rankine or Coulomb theory.
How do I use Active Earth Pressure (Cohesive) on the PE exam?
For cohesive soils, active pressure can be negative near the surface due to the cohesion term. The critical depth where pressure becomes zero is zc = 2c/(γ√Ka). Above this depth, tension cracks may form. Always check if your calculated pressure is physically reasonable.
How do I use Allowable Bearing Capacity on the PE exam?
This is a fundamental equation used in nearly every foundation design problem on the PE exam. Ultimate bearing capacity is typically given or calculated from Terzaghi or other bearing capacity equations. Common factors of safety range from 2.0-4.0 depending on soil conditions and foundation type. Watch for problems where you need to solve backwards for required FS.
How do I use At-Rest Earth Pressure Coefficient on the PE exam?
Jaky's formula applies only to normally consolidated soils. For overconsolidated soils, use K₀(OC) = K₀(NC) × OCR^0.5. Remember that K₀ values typically range from 0.3-0.8 for most soils - values outside this range should be questioned.
How do I use Average End Area Method on the PE exam?
Most common on PE Civil Construction exam. Remember to convert ft³ to CY by dividing by 27 for English units. Cross-sectional areas are typically given or must be calculated from station elevations and ground profiles.