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Calculation templates

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Beam Analysis Calculators

Beam Analysis using Macaulay's Theorem

Beam Analysis using Anastruct

2D Truss Analysis using OpenSeesPy

Column Buckling Calculator

Sample Project

Concrete Column P-M Diagram Calculator

Structural Engineering

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Structural Engineering Calculators

Concrete One-Way Slab Designer to EC2

Concrete Corbel Designer to EC2

Steel Base Plate Designer to EC3

Steel Section Designer to EC3

Elastic Critical Moment Calculator for Lateral Torsional Buckling to EC3

Timber Beam Calculator to EC5

Seismic Spectrum Calculator to EC8

Check out CalcTree's library of structural engineering calculations to Eurocode building and design codes here.

Structural engineering calculations to Eurocodes and standards

This calculator allows the user to evaluate the impact of an earthquake on a structure, by generating the Elastic Response Spectrum, Design Spectrum and the resulting base shear (seismic force). 

All calculations are performed in accordance with 

: Design of structures for earthquake resistance - Part 1: General rules, seismic actions and rules for buildings

. This code is typically referred to as "EC8". 

Below are the equations as provided in EC8, that are used in this calculator.

This calculation was built in collaboration with 

This calculator allows the user to evaluate the impact of an earthquake on a structure, by generating the Elastic & Design Spectrum and base shear.

Seismic Spectrum Calculator to EC8 (Eurocode 8)

This calculator computes section capacities and utilisation factors of IPE and HE steel sections. It considers axial compression or tension, bending, and shear effects on the section.

All calculations are performed in accordance with

: Design of steel structures - Part 1-1: General rules and rules for buildings

. This code is typically referred to as "EC3" or "Eurocode 3". 

, sections are classified as Class 1 to 4 depending on how their cross-section behave under compressive load.

The classification of a section depends on the width to thickness ratio of the parts subject to compression. Detailed table for classification can be found in 

Tension capacity of a section is calculated as per 

Compression capacity of a section is calculated as per 

, employing either Equation 6.10 or 6.11 based on the section class.

Bending capacity of a section is calculated as per 

, utilizing Equation 6.13, 6.14, or 6.15 based on the assigned section class.

Shear capacity of a section is calculated as per 

This tool calculates section capacities and utilization factors of IPE or HE steel sections to EC3 code.

Free code Compliant Steel Section Designer to EC3 (Eurocode 3)

This calculator designs timber bending members to Eurocode 5, ensuring compliance to flexural, shear, bearing, deflection and vibration requirements.

This calculator determines the elastic critical moment for lateral torsional buckling of steel sections.

All calculations are performed in accordance with:

EC3 does not include a formula for the elastic critical moment and hence the NCCI (Non-contradictory Complementary Information) is used here. The critical elastic moment (

) is an input into the buckling resistance moment (

) which is crucial for assessing the capacity of a section in bending.

C1 factor

C2 factor

Lateral torsional buckling occurs in members in 

. It is where the beam bends in it's minor axis and twists, as this behavior is the least stiff bending failure.

Lateral torsional buckling is particularly relevant in beams that are slender, have a significant length between supports or are not laterally supported along their length. These conditions make the beam more susceptible to twisting and lateral displacement when subjected to bending moments.

This is what lateral torsional buckling looks like:

 is the critical bending moment that leads to the onset of elastic lateral torsional buckling (LTB) in a beam. It is analogous to how the Euler buckling concept identifies the critical compression causing a column to succumb to elastic flexural buckling, 

 is a parameter in EC3 and serves as an input into the buckling resistance moment, 

 which is crucial for assessing the capacity of a section in bending.

The engineer's role is to design a beam that has an adequate bending strength to resist applied moments without experiencing LTB. This involves selecting a beam size and positioning lateral supports such that the bending stresses are within acceptable limits.

Below are the parameters and equations as provided in NCCI SN003b, that are used in this calculator.

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This calculator determines the elastic critical moment for lateral torsional buckling of steel sections to Eurocode 3 (EC3).

This calculator performs the structural analysis and design of a one-way spanning slab, by performing flexural, shear and deflection checks. 

This calculator designs a reinforced concrete corbel using strut & tie method. It provides the required main tension steel and horizontal links.

Concrete Corbel Designer to Eurocode 2

 by the CalcTree engineering team on August 8, 2024

This calculator designs a steel base plate for a steel I-section column in axial compression. It computes the required thickness and plan dimensions of a base plate. 

: Design of steel structures - Part 1-8: Design of joints

, which is part of the "EC3" or "Eurocode 3" code series.

matplotImage

Is the calculator valid, that is, do the T-stubs overlap? 

Check

Steel base plates are provided beneath steel columns in order to transmit the applied design forces safely to the foundations. Since steel columns are heavily loaded and their cross-sections are typically small, applying the loads directly on the foundation could result in a punching failure. Therefore a base plate must be provided beneath the column in order to spread the column load over a larger base area.

The actual distribution of pressure beneath a base plate is quite complex. EN 1993-1-8:2005 clause 6.2.5 and 6.2.8 presents a simplified approach. It assumes a uniform distribution of pressure beneath an effective area of the base plate known as the "equivalent T-stub in compression". The dimension, 

 in the figure below known as the "additional bearing width", forms an effective bearing area given by 

. The required check is that the applied compressive stress on this effective area does not exceed the design bearing strength of the concrete support, 

As per Clause 6.2.8.2, the capacity of a symmetric column base plate subject to an axial compressive force applied concentrically may be determined by adding together the capacities of the three T-stubs shown below (two T-stubs under the column flanges and one T-stub under the column web). The three T-stubs should not be overlapping.

The steps for this "equivalent T-stub in compression" design method are based on a 

research paper from the University of Ahmadu Bello

This calculator designs a steel base plate for a steel I-section column in compression. It computes the base plate's required thickness and size.