Free Online Truss Calculator | Civils.ai (2024)

Calculate axial forces, reactions and displacement of a roof truss or floor truss structure.

👷 Tip: Start adding nodes to enable other features.

Node X Coord Y Coord Restraint
1

m

m

2

m

m

Element ID Start node End node
1
Applied to Node Load (x) magnitude Load (y) magnitude

kN

kN

Element ID UDL X magnitude UDL Y magnitude

kN

kN

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Bending moment result

Worst case predicted: kNm

Shear force result

Worst case predicted: kN

Axial force result

Worst case predicted: kN

Support reactions result

Worst case predicted (x): kN

Worst case predicted (y): kN

Displacement result

This analysis assumes the same stiffness is applied to all elements

Edit the stiffness below & re-analyse.

Worst case displacement: mm

Analysis validation

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What's this calculator used for?

This free online roof truss calculator can be used by Civil Engineers for structural truss design. Generate the axial forces, reactions and displacements for each node of the structure. Customize the layout of the truss and use it as a roof rafter calculator, wood truss calculator, scissor truss calculator and roof framing calculator.

Contribute to this code

This code is open source and you can contribute to it's development.

You can find the source code on GitHub here:

anaStruct

Special credits: Ritchie Vink

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Truss calculator theory

What are trusses?

  • Trusses are structural frameworks composed of straight members connected at their ends to form a stable and rigid structure. They are commonly used in engineering and construction to support roofs, bridges, and other structures. Trusses are designed to efficiently distribute loads, such as the weight of the roof or the bridge deck, to the support points, which are usually the walls or columns.

What is the difference between a truss and a frame?

  • Trusses are structures typically arranged as a series of elements connected in triangular patterns. The connections between individual elements typically do not carry any moment or shear forces, instead the elements only transfer axial forces with the forces eventually resolving as reactions into the truss supports. This results in trusses being less flexible than frames but are often cheaper, more lightweight and more efficient to construct. Meaning that trusses are commonly used in roofing, flooring and bridges.

What is a roof truss?

  • A roof truss is a structural framework designed to support the roof of a building. It is one of the most common methods used in modern construction for residential, commercial, and industrial buildings. Roof trusses are typically triangular in shape and consist of straight members connected at joints..

How to design roof truss?

  • Design of a roof truss is one of the most common design requirements during home building, this is a list of the most common steps in designing a roof truss:
    1. Determine the roof's span, pitch, and load requirements.
    2. Select appropriate materials for the truss based on the load and aesthetic preferences.
    3. Calculate the forces acting on the truss members using structural engineering principles.
    4. Choose a suitable truss configuration (e.g., king post, queen post, Howe, etc.) based on the design requirements.
    5. Use engineering software or manual calculations to analyze the truss and ensure it meets safety standards.
    6. Adjust the truss design if necessary and reanalyze until it meets all safety and load-bearing criteria.
    7. Get the design checked and approved by a qualified structural engineer.
    8. Fabricate the truss components and assemble them according to the approved design.
    9. Install the truss securely on the roof structure following construction guidelines.

Truss solver

  • To solve trusses follow the following steps:
    1. Analyze the forces: Break down the truss into its individual members and joints. Identify all the external loads and reactions acting on the truss.
    2. Apply equilibrium conditions: Apply the principles of static equilibrium (sum of forces and moments equal to zero) to each joint to determine the internal forces in the truss members.
    3. Solve for member forces: Use methods like the method of joints or method of sections to calculate the forces in each truss member.
    4. Check for stability: Ensure the truss remains stable under the applied loads by verifying that the internal forces in the members satisfy the strength and stability criteria.
    5. Design verification: If the truss is part of a structure, verify that the members' dimensions and materials meet the design requirements and safety standards.
    6. Iterate if necessary: If the truss fails to meet the design criteria or stability requirements, make appropriate changes and reiterate the analysis until a suitable solution is achieved.

Rafter calculator

  • Rafters are a fundamental component of a roof structure in building construction. They are sloping beams that support the roof and transfer its weight to the walls or other structural elements of the building. Rafters typically run from the ridge or the highest point of the roof down to the eaves or the edges of the roof. Rafter truss calculators have a range of applications most commonly being used as a roof truss calculator, a wood truss calculator, roof rafter calculator, scissor truss calculator, attic truss calculator, or for roof framing.

What are the different types of truss?

  • Trusses come in a wide range of shapes and sizes however some of the most common types are listed below:
    1. King Post Truss: Simple truss with a single vertical member in the center, connecting the apex of the top chord to the midpoint of the bottom chord.
    2. Queen Post Truss: Similar to the king post truss but with two vertical members.
    3. Howe Truss: A truss with diagonal members slanting towards the center and vertical members at the ends.
    4. Pratt Truss: Opposite of the Howe truss, with diagonal members slanting outward and vertical members at the center.
    5. Warren Truss: A truss with diagonal members alternating in direction, creating a zig-zag pattern.
    6. Fink Truss: A type of Warren truss with additional internal bracing.
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FAQs

How many trusses do I need for a 30x30 garage? ›

The formula is truss count = ((roof length × 12)/24) + 1 . This equation will help you determine how many trusses your roof needs. For example, if your roof is 30 feet long, you will need 16 trusses.

What is the formula for calculating trusses? ›

How do I calculate roof trusses? The simplest form of this equation is to take the length of your roof and divide it by 2. For example, if your roof is 40-feet long, it will need a total of 20 trusses.

How do you calculate truss load? ›

A formula is now applied to the truss to calculate load strength. The formula, which can be written as M+3=2*N, says that the number of members of a truss plus 3 must equal twice the number of nodes.

What are the three main assumptions when solving a truss problem? ›

Solving Truss Forces

Assumptions: All members are perfectly straight. All loads are applied at the joints. All joints are pinned and frictionless.

Where do trusses commonly fail? ›

The bottom chord of a truss (unless it is cantilevered) is in tension. If the connector at one of these splices loosens because of fire, rot, corrosion, or improper installation, this truss will become unstable and collapse because of the live and dead loads it carries.

How far can 2x4 trusses span? ›

The span across the truss from end to end is about 28', with no bearing wall or support at midspan.

What is the average spacing between trusses? ›

Depending on your builder or building designer, the usual range is anywhere from 2′ on center to 10′ on center with the majority of builder's either using 4′ or 8′ on center or a mix of the two.

How many car garage is a 40x60? ›

Common questions. how many cars can fit in a 40' x 60' garage? A garage measuring 40 feet by 60 feet has a floor space of 2,400 square feet, which can store up to six cars or trucks comfortably.

What is the formula for a perfect truss? ›

In a simple truss, m = 2j - 3 where m is the total number of members and j is the number of joints. A simple truss is constructed by successively adding two members and one connection to the basic triangular truss. In a simple truss, m = 2j - 3 where m is the total number of members and j is the number of joints.

What method do we use when solving truss calculations? ›

The method of joints is a process used to solve for the unknown forces acting on members of a truss. The method centers on the joints or connection points between the members, and it is most useful when you need to solve for all the unknown forces in a truss structure.

What is truss calculator? ›

About the Roof Truss Calculator

This free online roof truss calculator is a truss design tool that generates the axial forces, reactions of completely customizable 2D truss structures.

What is the strongest truss design? ›

Octet Truss: In this type of trusses, the truss members are made up of all equivalent equilateral triangles. This is a very complicated truss, in which each triangle is associated with the other in multi-dimensions. This type of truss is strongest as compared to the rest of the types.

How much weight can trusses support? ›

Wood roof trusses transfer the weight from the roof to the supporting walls, so the load it can bear depends on that as well. But overall, you can expect the ceiling to support at least 10 pounds per square foot. As for floor trusses, the typical floor truss can support 40 pounds per square foot.

How do you calculate trusses using the joint method? ›

Method of joint: This method involves isolating each joint of the truss and considering the equilibrium of the joint when determining the member axial force. Two equations used in determining the member axial forces are ΣFX=0 and ΣFy=0.

What is the method of sections to solve a truss? ›

The method of sections is used to solve for the unknown forces within specific members of a truss without solving for them all. The method involves dividing the truss into sections by cutting through the selected members and analyzing the section as a rigid body.

How do you calculate truss slope? ›

The pitch of a roof truss (Rise/Span) should be 1/4 to 1/6 to its slope for proper drainage and slope = 2 times pitch . The spacing of roof trusses is kept 1/3 to 1/5 of the span.

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