# I beam calculator

Beam bending formula, shear, moment, deflection plots for cantilevered beams and simply supported beams. This calculator is based on Euler-Bernoulli beam theory. The Euler-Bernoulli equation describes a relationship between beam deflection and applied external forces.

The simplest form of this equation is as follows:. The nice thing about this theory is that we can use these equations along with the boundary conditions and loads for our beams to derive closed-form solutions to the beam configurations shown on this page.

The bending moment, shear force, slope and defelction diagrams are all calculated using the above equations. Of course, it is not always possible or practical to derive a closed-form solution for some beam configurations. Beam Calculator Powered by WebStructural Beam bending formula, shear, moment, deflection plots for cantilevered beams and simply supported beams.

Select a Beam. Enter Dimensions and Calculate. English inches, kips, ksi English inches, kips, ksi Metric meters, kN, kPa. Review Results. Slope degrees. About the Beam Bending Calculator.

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Need more power?Specify beam geometry and loads to get started analysing the beam. The beam calculator automatically uses ClearCalcs' powerful finite element analysis engine to determine moment, shear, and deflection as you work. Start your free ClearCalcs trial to unlock saving and export, as well as even more calculators for wood, steel, and concrete beams, columns, and footings. Moment Demand.

Shear Demand. Length of Beam. Young's Modulus.

### Free Beam Calculator

Area of Cross Section. Moment of Inertia. Position of Supports from Left. Distributed Loads. Point Loads. Experience the full power of ClearCalcs with a 14 day free trial and start being more productive. The ClearCalcs beam calculator allows the user to input the geometry and loading of a beam for analysis in a few simple steps.

It then determines bending moment, shear and deflection diagrams, and maximum demands using a powerful finite element analysis engine.

Signing up for a ClearCalcs account will unlock further advanced features for design and analysis of beams and a variety of other structural elements. Area of the Cross-Section is specific to the beam section selected, and is defaulted to the values for a common steel beam.

Second Moment of Area or Moment of Inertia is also specific to the beam section selected, and again defaulted to the properties of a common steel beam.

The properties E, A, and Ix for other beam sections can be obtained from the ClearCalcs section properties library. Alternately, you can create your own custom section using our free moment of inertia calculator.

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Position of Supports from Left allow the user to input any number of supports, and specify their position along the length of the beam. The support type can either be pinned fixed in translation, free in rotation or fixed fixed in both translation and rotation and is selected from the drop-down menu. A minimum of one fixed support, or two pinned supports are required. The beam calculator also allows cantilever spans at each end, as the position of the first support does not have to be equal to 0mm and the last support position does not have to be equal to the length of the beam.

The reactions at each of the supports are automatically updated as supports are added, changed or deleted, based on the specified loading. The calculator supports a variety of different loading types which can be applied in combination.

Each load can be named by the user. Two different types can be applied in the calculator:. Uniform Loads have a constant magnitude along the length of application. Therefore, the start and end magnitudes specified by the user must be the same. Linear Loads have a varying magnitude along the length of application. The different start and end magnitudes must be specified by the user, and they can be used to represent triangular or trapezoidal loads.

Point Loads are specified in units of force, kN or kip, and area applied at discrete points along the beam. For example, these can represent reactions from other members connecting to the beam.The selected tariff allows you to make 2 calculations of beams, frames or trusses.

Choose the required number of calculations: 2 calculations. To phone. To Email. I consent to the processing of my personal data in accordance with License agreement. Proceed to checkout. Where was the Access Code sent? Copy to clipboard Cancel. Enter the length of the beam! Do you want to delete this force? Cancel Delete. Support at this point already exists!

Simplified Design of a Steel Beam - Exam Problem, F12 (Nectarine)

On the left On the right. Cancel Save Add.

Support in this point already exists! On the left On the right Enter the distance of support location m. Show additional parameters The angle of roller support degree :. Load Location m :. Load Magnitude kN :. Load Angle degree :. Moment Location m :. Start Location m :. End Location m :. Clear beam Save link on this calculation. Select units. Units of measurement:.Free to use, premium features for SkyCiv users.

Powerful hand calculation modules that show the step by step hand calculations excluding hinges for reactions, BMD, SFD, centroids, moment of inertia and trusses! Add as many supports, loads, hinges and even additional members with SkyCiv paid plans.

Tackle any project with this powerful and fast beam software. Free online beam calculator for generating the reactions, calculating the deflection of a steel or wood beam, drawing the shear and moment diagrams for the beam. Use the interactive box above to view and delete the beam length, supports and added loads. Any changes made will automatically re-draw the free body diagram any simply supported or cantilever beam.

The beam reaction calculator and Bending Moment Calculations will be run once the "Solve" button is hit and will automatically generate the Shear and Bending Moment Diagrams. You can also click the individual elements of this LVL beam calculator to edit the model.

The beam span calculator will easily calculate the reactions at supports. It is able to calculate the reactions at supports for cantilever or simple beams. This includes calculating the reactions for a cantilever beam, which has a bending moment reaction as well as x,y reaction forces. The above steel beam span calculator is a versatile structural engineering tool used to calculate the bending moment in an aluminium, wood or steel beam. It can also be used as a beam load capacity calculator by using it as a bending stress or shear stress calculator.

It is able to accommodate up to 2 different concentrated point loads, 2 distributed loads and 2 moments. The distributed loads can be arranged so that they are uniformly distributed loads UDLtriangular distributed loads or trapezoidal distributed loads. All loads and moments can be of both upwards or downward direction in magnitude, which should be able to account for most common beam analysis situations.

Bending Moment and Shear Force calculations may take up to 10 seconds to appear and please note you will be directed to a new page with the reactions, shear force diagram and bending moment diagram of the beam.

One of the most powerful functions is using it as a beam deflection calculator or beam displacement calculator. This can be used to observe the calculated deflection of a simply supported beam or of a cantilever beam.Welcome to the Beam Calculator. A free, online beam calculator to generate shear force diagrams, bending moment diagrams, deflection curves and slope curves for simply supported and cantilvered beams.

Select a beam and enter dimensions to get started. Then scroll down to see shear force diagrams, moment diagrams, deflection curves, slope and tabulated results. English inches, kips, ksi English inches, kips, ksi Metric meters, kN, kPa.

Design multi-span beams with complex loads with WebStructural's intuitive interface. An interactive drawing area allows you to design complex, multi-span beams in minutes.

### Free Online Beam Calculator for Cantilever or Simply Supported Beams

Easy to read, printable and comprehensive design reports. Choose from a wide variety of steel and wood shapes. This calculator is based on Euler-Bernoulli beam theory.

The Euler-Bernoulli equation describes a relationship between beam deflection and applied external forces. The simplest form of this equation is as follows:. We use these equations along with the boundary conditions and loads for our beams to derive closed-form solutions to the beam configurations shown on this page simply supported and cantilver beams.

The beam calculator uses these equations to generate bending moment, shear force, slope and defelction diagrams. The beam calculator is a great tool to quickly validate forces in beams.

Use it to help you design steel, wood and concrete beams under various loading conditions. Also, remember, you can add results from beams together using the method of superposition. Of course, it is not always possible or practical to derive a closed-form solution for some beam configurations.

If you have a steel, wood or concrete beam with complex boundary conditions and loads you're better off solving the problem numerically with one of our finite element analysis tools. We make elegant, powerful structural engineering and structural analysis software.

Try some of our other free tools:. Select a beam. Change dimensions to recalculate.Marijana Team offers customers tips on the latest sporting events.

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## Steel I Beam Moment of Inertia Calculator

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