Beam calculation (Calculator)

Section selection on rolled steel beam bending (I-beam and channel) in terms of strength and deflection.

The following steel beam support schemes are implemented in the calculator:

Calculator features:

This calculator allows to get a detailed manual calculation with bending moment formula, beam deflection formula, shear force formula, force diagrams and select the beam size from rolled profiles (channel, I-beam) during the construction of various buildings and structures.

Select the Beam Support Scheme:

Beam on two supports with distributed load
Beam on two supports with concentrated load in the middle
Cantilever beam with distributed load
Cantilever beam with concentrated load at the end

Set Initial Data:

Enter load and beam span
kg/m m L= q =
Enter beam limit deflection
L/
Recommended deflections fult
Span, L(m) Deflection fult
L < 1 L/120
L = 3 L/150
L = 6 L/200
L = 24(12) L/250
L = 36(24) L/300
Select a section for steel beam calculation
I-Beam
Beam section from a channel
Beam with a section of 2 channels in a box
Assortment

How to Make Beam Calculation

1. Collection of Loads

Before starting a steel beam calculation, it is necessary to collect the load acting on the steel beam. Depending on action duration, the load is divided into permanent and temporary.

Permanent loads include:

Temporary loads include:

Loads on the beam are divided into two types: design and standard. Design loads are used to calculate the beam for strength and stability (limit state 1). Normative loads are established by the norms and are used to calculate the beam for deflection (limit state 2). Design loads are determined by multiplying the standard load by the reliability load factor. Within the framework of this calculator, the design load is applied when determining the beam deflection to the margin.

After we have collected the surface load on the overlay, measured in kg / m2, it is necessary to calculate how much of this surface load the beam takes on. To do this, it is necessary to multiply the surface load by beams step (the so-called cargo lane).

For example: We calculated that the total load was Qsurface = 500kg/m2, and the beams step was 2.5m. Then the distributed load on the steel beam will be: Qdistribution = 500kg/m2 * 2.5m = 1250kg/m. This load is entered into calculator

2. Plotting

Next, the diagram of moments, transverse force is plotted. The plot depends on the beam loading scheme, the type of beam support. The plot is built according to the rules of structural mechanics. For the most commonly used loading and support schemes, there are ready-made tables with derived formulas for diagrams and deflections.

3. Strength and Deflection Calculation

After plotting the diagrams, the strength (limit state 1) and deflection (limit state 2) are calculated. In order to select a beam for strength, it is necessary to find the required moment of inertia Wtr and select a suitable steel profile from the assortment table. For example, the maximum deflection fult=L/200 with a span L=6m means that the calculator will select the rolled profile section (I-beam, channel or two channels in a box) with maximum deflection not exceeding fult=6m/200=0.03m=30mm. To select a steel profile according to the deflection, the required moment of inertia Itr is found, which is obtained from the formula for finding the ultimate deflection. And also a suitable steel profile is selected from the assortment table.

4. Steel Beam Selection from the Assortment Table

From the two selection results (limit state 1 and 2), a steel profile with a large section number is selected.

Found an error, have an idea how to improve the calculation or have a question - leave a comment:

bruce bruce 571 days ago

IM WONDERING IF YOU HAVE THIS CALCULATOR IN IMPERIAL UNIT? I FIND IT VERY USEFUL BUT I PURCHASE STEEL IN THE US (IMPERIAL UNITS) THANKS