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Open CalculatorAll Civil: Structural PE Equations (45)
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Approximate Fundamental Period
Calculate approximate fundamental period for seismic analysis. Essential engineering tool for building period estimation in earthquake design and structural dynamics.
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ASD Load Combination - Gravity
Calculate ASD gravity load combinations for structural engineering. Free online calculator for allowable stress design with dead and live loads. Get accurate results instantly.
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Simply Supported Beam Deflection (Uniform Load)
Calculate maximum deflection of simply supported beams under uniform loads. Free structural engineering calculator with instant results for beam analysis.
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Maximum Moment (Uniform Load)
Calculate maximum bending moment for simply supported beams with uniform loads. Free structural engineering calculator with instant results and formulas.
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Beta-1 Factor (β₁)
Calculate Beta-1 factor (β₁) for concrete flexure design. Determine stress block depth to neutral axis depth ratio for reinforced concrete beams and structures.
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Cantilever - Maximum Moment (Uniform Load)
Calculate maximum bending moment for cantilever beams under uniform load. Free structural analysis calculator for engineers and students with instant results.
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Euler Buckling Load
Calculate critical buckling load for slender columns using Euler's formula. Essential structural engineering tool for column stability analysis and design.
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Column Nominal Strength (Pn)
Calculate nominal compressive strength (Pn) for steel columns. Free engineering calculator for structural steel design with instant results and formulas.
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Nominal Moment Capacity (Mn)
Calculate nominal moment capacity (Mn) for singly reinforced rectangular concrete sections. Free engineering calculator for concrete flexural strength design.
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Concrete Shear Capacity (Vc)
Calculate concrete shear capacity (Vc) instantly with our free engineering calculator. Determine shear strength for concrete structures quickly and accurately.
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Critical Stress - Elastic Buckling
Calculate critical stress for elastic buckling in slender steel columns. Free engineering calculator with instant results for structural design and analysis.
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Critical Stress - Inelastic Buckling
Calculate critical stress for inelastic buckling in steel compression members. Essential tool for structural engineers designing short and intermediate columns.
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Design Spectral Acceleration (SDS)
Calculate Design Spectral Acceleration (SDS) for seismic loads. Essential tool for structural engineers to determine spectral response acceleration at short periods.
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Euler Elastic Buckling Stress (Fe)
Calculate Euler elastic buckling stress (Fe) for steel compression members. Free online calculator for structural engineers and steel design professionals.
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Euler Buckling Load
Calculate critical buckling load for columns with our Euler Buckling Load Calculator. Essential structural analysis tool for engineers and designers.
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Fixed-End Beam - Maximum Moment (Uniform Load)
Calculate maximum moment for fixed-end beams with uniform load. Free structural analysis calculator for engineers. Get accurate beam moment results instantly.
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LRFD Load Combination 1 - Dead Only
Calculate LRFD dead load combinations for structural design. Free online calculator for strength-based load factor resistance design with instant results.
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LRFD Load Combination 2 - Dead + Live
Calculate LRFD Load Combination 2 for dead and live loads. Essential structural engineering tool for strength design and building code compliance.
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LRFD Load Combination - Seismic
Calculate LRFD load combinations with seismic effects for structural design. Essential tool for engineers working with earthquake-resistant building codes.
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LRFD Load Combination - Uplift
Calculate LRFD load combinations for uplift and overturning checks. Free structural engineering calculator for wind and seismic uplift analysis.
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LRFD Load Combination - Wind
Calculate LRFD wind load combinations for structural engineering. Free online calculator for determining design loads with wind effects per building codes.
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Maximum Vs Limit
Calculate maximum shear capacity provided by stirrups in concrete structures. Essential tool for structural engineers designing reinforced concrete beams.
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Minimum Flexural Reinforcement
Calculate minimum area of tension reinforcement for concrete beams. Free flexural reinforcement calculator for structural engineers and designers.
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Two-Way (Punching) Shear Capacity
Calculate two-way punching shear capacity around columns instantly. Essential concrete design tool for structural engineers. Get accurate results now.
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Required Stirrup Spacing
Calculate required spacing for vertical stirrups in concrete shear design. Free engineering calculator for structural concrete reinforcement analysis and design.
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Seismic Base Shear
Calculate seismic base shear forces for structural design using equivalent lateral force procedure. Essential tool for earthquake-resistant building analysis.
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Seismic Response Coefficient Maximum
Calculate maximum seismic response coefficient (Cs) based on structural period. Essential tool for earthquake-resistant design and seismic load analysis.
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Seismic Response Coefficient Minimum
Calculate minimum seismic response coefficient (Cs) for structural design. Free engineering calculator for seismic load analysis and earthquake-resistant building design.
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Seismic Response Coefficient (Cs)
Calculate seismic response coefficient (Cs) for structural design. Free engineering calculator for earthquake load analysis and seismic design calculations.
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Simple Beam - Maximum Deflection (Uniform Load)
Calculate maximum deflection for simply supported beams under uniform loads. Free structural analysis tool for engineers with instant results and formulas.
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Simple Beam - Maximum Moment (Uniform Load)
Calculate maximum moment for simply supported beams with uniform loads. Free structural analysis calculator for engineers and students. Get instant results.
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Simple Beam - Maximum Shear (Uniform Load)
Calculate maximum shear force in simply supported beams with uniform loads. Free structural analysis calculator for engineers and students with instant results.
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Slenderness Ratio Limit
Calculate slenderness ratio limits for steel compression members. Determine the boundary between inelastic and elastic buckling in structural design.
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Stirrup Shear Capacity (Vs)
Calculate stirrup shear capacity (Vs) for concrete beams. Free engineering calculator for determining shear strength provided by vertical stirrups in reinforced concrete.
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Whitney Stress Block Depth (a)
Calculate Whitney stress block depth (a) for concrete flexural design. Free engineering calculator for equivalent rectangular stress block analysis.
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Tension Steel Strain
Calculate strain in tension reinforcement at nominal strength for concrete flexure design. Free engineering calculator with step-by-step results.
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Velocity Pressure Exposure Coefficient
Calculate velocity pressure exposure coefficient Kz for wind load analysis. Essential tool for structural engineers designing buildings per ASCE standards.
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Vertical Force Distribution Factor
Distribution of seismic forces to each level
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Design Wind Pressure - MWFRS
Design wind pressure for Main Wind Force Resisting System
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Design Wind Pressure - Components & Cladding
Design wind pressure for components and cladding
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Velocity Pressure (qz)
Wind velocity pressure at height z per ASCE 7-16
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Adjusted Bending Design Value (F'b)
Adjusted allowable bending stress for wood members
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Beam Stability Factor (CL)
Lateral stability factor for wood beams
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Column Stability Factor (Cp)
Stability factor for wood compression members
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Critical Buckling Design Value (FcE)
Euler critical buckling stress for wood columns
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Frequently Asked Questions
How do I use Approximate Fundamental Period on the PE exam?
Always use Table 12.8-2 values for Ct and x based on the lateral force-resisting system. Steel MRF has the highest Ct (0.028) giving longer periods. This is an upper bound estimate - actual periods are typically 10-15% lower. Remember that period affects seismic base shear calculation.
How do I use ASD Load Combination - Gravity on the PE exam?
This is the most basic ASD load combination. Remember ASD uses unfactored loads (no load factors), unlike LRFD which uses load factors. This combination is for gravity-only loading and doesn't include wind, seismic, or other lateral loads.
How do I use Simply Supported Beam Deflection (Uniform Load) on the PE exam?
This is the most common beam deflection formula on the PE exam. Remember L⁴ means small changes in span have huge effects on deflection. Always check your answer against deflection limits (typically L/240 for floors, L/360 for roofs). The formula assumes small deflections and linear elastic behavior.
How do I use Maximum Moment (Uniform Load) on the PE exam?
This is the most fundamental beam equation on the PE exam. Always verify the beam is simply supported before using. For continuous beams, maximum positive moment is wL²/8 but negative moments occur at supports. Remember this gives the absolute maximum moment, which occurs exactly at midspan (L/2).
How do I use Beta-1 Factor (β₁) on the PE exam?
β₁ = 0.85 for f'c ≤ 4000 psi (memorize this). Above 4000 psi, it decreases by 0.05 per 1000 psi increase. Minimum is always 0.65. This appears in ALL flexural design problems for beams, slabs, and columns.